id string | problem string | answer string | answer_type string | category string | difficulty string | eval_score int64 | similar_problems list |
|---|---|---|---|---|---|---|---|
1684620 | Days' sales in inventory:
a. Shows the buffer against out-of-stock inventory.
b. Focuses on average inventory rather than ending inventory.
c. Is used to measure solvency.
d. Is calculated by dividing the cost of goods sold by the ending inventory.
e. Is a substitute for the acid-test ratio. | b | Multiple Choice | Business | University | 6 | [
{
"id": "2018600",
"score": 0.5729877358456457
},
{
"id": "660109",
"score": 0.4699225526919734
},
{
"id": "937946",
"score": 0.44307302744393207
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{
"id": "131013",
"score": 0.40868284469021254
},
{
"id": "443579",
"score": 0.4008482670106841
}
] |
664431 | 2. Introduction to the foreign-currency exchange market
In an open economy, what is the source of supply in the foreign-currency exchange market?
a. Net exports
b. Exports
c. Net capital outflow
d. Investment and net capital outflow | c | Multiple Choice | Economics | University | 6 | [
{
"id": "1775876",
"score": 0.5760197436085733
},
{
"id": "1075170",
"score": 0.45781674100040626
},
{
"id": "186753",
"score": 0.43683531056149494
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{
"id": "1962313",
"score": 0.4021204653417306
},
{
"id": "520095",
"score": 0.3683118326405689
}
] |
1303164 | Event risk is the possibility that:
A. a borrower will face some circumstance that will prevent the borrower from paying the loan back.
B. a major catastrophic occurrence, such as a hurricane, flood, or terrorist attack, will lower the return of the investment.
C. the overall price level will rise faster than expect... | B | Multiple Choice | Business | University | 6 | [
{
"id": "399545",
"score": 0.3369230633753866
},
{
"id": "1788370",
"score": 0.21389198291175804
},
{
"id": "1204080",
"score": 0.17569488669708166
},
{
"id": "1995023",
"score": 0.1691138344665774
},
{
"id": "956906",
"score": 0.16596300547922482
}
] |
534090 | If $z= \arctan \frac{y}{x}$ show that $x \frac{\partial z}{\partial x}+y \frac{\partial z}{\partial y}=0$ | 0 | Integer | Mathematics | University | 6 | [
{
"id": "1000330",
"score": 0.9281474858981346
},
{
"id": "912298",
"score": 0.9223287478825433
},
{
"id": "331417",
"score": 0.9008827328085409
},
{
"id": "1029303",
"score": 0.867370937887337
},
{
"id": "1440468",
"score": 0.8606298114962053
}
] |
1699347 | During 2018, Towson Company had credit sales of $46,000 and cash sales of $14,000. In 2018 Towson collected $31,000 of accounts receivable resulting from sales on credit. Towson incurred operating expenses of $61,000; of this amount, $42,900 was paid in 2018, and the remaining balance represented a liability at year-en... | -$4,000 | Integer | Business | University | 6 | [
{
"id": "685773",
"score": 0.4381762024982183
},
{
"id": "1995231",
"score": 0.4380281066235271
},
{
"id": "780021",
"score": 0.43539953114543284
},
{
"id": "811439",
"score": 0.4211300296353965
},
{
"id": "1463487",
"score": 0.3595588195035581
}
] |
1153758 | Use a linear approximation (or differentials) to estimate the given number. Use the linearization of {eq}\dfrac 1x{/eq}. Do not round your answer. {eq}\dfrac 1{1001}{/eq} | 0.000999 | Float | Mathematics | University | 6 | [
{
"id": "902914",
"score": 0.5196780081649667
},
{
"id": "1923501",
"score": 0.5079962713406652
},
{
"id": "1651721",
"score": 0.4836050915084423
},
{
"id": "1688705",
"score": 0.45691514912326914
},
{
"id": "1105113",
"score": 0.4431763129172961
}
] |
832023 | Prove that $$ \int^{\pi}_{0}\arctan \left(\frac{p \sin x}{1-p \cos x}\right) \sin(nx) dx=\frac{\pi}{2n} p^n $$ for $$p^2 <1$$ given that $$ I^{\prime} (p)=\int^{\pi}_{0} \frac{\sin x \sin (nx)}{1+p^2-2p \cos x}dx $$. What is the next step? | $\frac{\pi}{2n} p^n$ | Expression | Mathematics | University | 6 | [
{
"id": "866777",
"score": 0.7428703460561924
},
{
"id": "304468",
"score": 0.6500479810727969
},
{
"id": "282269",
"score": 0.5386123676917685
},
{
"id": "5455",
"score": 0.5288323440779359
},
{
"id": "1560093",
"score": 0.5256926976688289
}
] |
1303306 | What is the probability that the average price for 25 gas stations is over $2.71, given that the cost of unleaded gasoline in the Bay Area follows an unknown distribution with a mean of $2.59 and a standard deviation of $0.12? | 0 | Integer | Mathematics | University | 6 | [
{
"id": "65830",
"score": 0.35231400548412345
},
{
"id": "1613432",
"score": 0.2923068617644358
},
{
"id": "645787",
"score": 0.2877146967161463
},
{
"id": "818068",
"score": 0.27599269820697
},
{
"id": "1797179",
"score": 0.2631764354484072
}
] |
375963 | For this proof, after I convert the definite integral into the riemann sum definition, is it just enough to say $\Delta(x)$ = $\frac{b-a}{n}$ and since b = a, the $\Delta(x)$ becomes 0, thus, making everything else equal to 0, since everything else is being multiplied by zero? | 0 | Integer | Mathematics | University | 6 | [
{
"id": "429594",
"score": 0.42109997544911837
},
{
"id": "1099165",
"score": 0.40510715912192
},
{
"id": "234199",
"score": 0.39581335583227395
},
{
"id": "300854",
"score": 0.3726017781193131
},
{
"id": "1394305",
"score": 0.3706018298547563
}
] |
708664 | Hartzog Corporation's most recent balance sheet and income statement appear below:
Statement of Financial Position
December 31, Year 2 and Year 1
(in thousands of dollars)
Year 2 Year 1
Assets
Current assets:
Cash $220 $190
Accounts receivable 340 320
Inventory 170 260
Prepaid expenses 40 40
Total current assets... | 6.71 | Float | Business | University | 6 | [
{
"id": "271409",
"score": 0.5326957901835518
},
{
"id": "392503",
"score": 0.47374485243516506
},
{
"id": "550695",
"score": 0.45932455713639364
},
{
"id": "1199853",
"score": 0.44076705924391263
},
{
"id": "1448761",
"score": 0.4308200681833045
}
] |
37666 | What do countercyclical fiscal and monetary policies have in common?
i) They are both intended to reduce economic fluctuations.
ii) They both work primarily by influencing aggregate demand, which affects the demand for labor.
a) i) and ii) are both false.
b) i) is false and ii) is true.
c) i) and ii) are both true... | c | Multiple Choice | Economics | University | 6 | [
{
"id": "105152",
"score": 0.6060184295521143
},
{
"id": "1589160",
"score": 0.5127889720921668
},
{
"id": "2108442",
"score": 0.4959901536226812
},
{
"id": "914549",
"score": 0.4863243962815003
},
{
"id": "1859490",
"score": 0.42939996557908433
}
] |
965152 | F(x,y,z) = yi =zj + xk,
S is the hemisphere {eq}x^2 + y^2 + z2 = 1, y \geq 0,
{/eq} oriented in the direction of the positive y-axis. | 0 | Integer | Mathematics | University | 6 | [
{
"id": "82817",
"score": 0.44220199643699815
},
{
"id": "2060634",
"score": 0.4017718337091525
},
{
"id": "1412339",
"score": 0.37865972440472107
},
{
"id": "146189",
"score": 0.37739389443540405
},
{
"id": "1893572",
"score": 0.3554179935665495
}
] |
2096551 | For women aged 18-24, the normally distributed mean = 114.8 and the standard deviation = 13.1. If four women in that age bracket are randomly selected, find the probability that their mean systolic blood pressure is greater than 140. | 0.0001 | Float | Mathematics | University | 6 | [
{
"id": "678476",
"score": 0.39322708897694925
},
{
"id": "1431562",
"score": 0.3720535319548908
},
{
"id": "993006",
"score": 0.3702995375158016
},
{
"id": "582371",
"score": 0.34698914642971046
},
{
"id": "160796",
"score": 0.33574949719412256
}
] |
1720819 | Tanner is choosing between two investment options. He can invest $500 now and get (guaranteed) $550 in one year, or invest $500 now and get (guaranteed) $531.40 back later today. The risk-free rate is 3.5%. Which investment should Tanner prefer?
a. $531.40 later today since $1 today is worth more than $1 in one year.
... | d | Multiple Choice | Finance | University | 6 | [
{
"id": "1482745",
"score": 0.23592503417318145
},
{
"id": "102490",
"score": 0.2222999566211238
},
{
"id": "1801077",
"score": 0.19494179662169078
},
{
"id": "608691",
"score": 0.192217713427281
},
{
"id": "1095946",
"score": 0.18786566027075058
}
] |
33401 | According to finance professionals, which one of these factors has the biggest impact on a firm's PE ratio?
A. Accounting practices of the firm
B. Risk-level of the firm
C. Size of the firm
D. Growth opportunities
E. Age of the firm | D | Multiple Choice | Finance | University | 6 | [
{
"id": "905480",
"score": 0.45397207066627365
},
{
"id": "811576",
"score": 0.431729249726562
},
{
"id": "1474346",
"score": 0.4060305909598131
},
{
"id": "535940",
"score": 0.3892666378209848
},
{
"id": "2028336",
"score": 0.3201970728568138
}
] |
308688 | Which one of the following sentences is true regarding the different types of RNA?
a) snRNA and siRNA are regulatory RNAs, made only under certain conditions when their activity is required
b) tRNAa and rRNAs are made consecutively and required for protein translation
c) mRNAs, which are translated into proteins, ar... | a | Multiple Choice | Biology | University | 6 | [
{
"id": "388833",
"score": 0.1656557220232255
},
{
"id": "309305",
"score": 0.15058097144704952
},
{
"id": "685651",
"score": 0.1317960655935151
},
{
"id": "1778876",
"score": 0.1317960655935151
},
{
"id": "449550",
"score": 0.12650044863231427
}
] |
958025 | Evaluate the integral $\int_0^\pi \cos^3 5xdx$ | 0 | Integer | Mathematics | University | 6 | [
{
"id": "399251",
"score": 0.5693438586113583
},
{
"id": "308541",
"score": 0.48156542779937683
},
{
"id": "1757310",
"score": 0.48107204207770893
},
{
"id": "598720",
"score": 0.4697260875280334
},
{
"id": "1135737",
"score": 0.4697260875280334
}
] |
1570464 | The exchange rate effect states that:
a. as price levels fall, interest rates decrease, and real GDP increases.
b. as prices rise in an economy, consumers tend to buy cheaper foreign products and fewer domestic products.
c. if price levels drop, the value of money is higher, and consumers will spend more.
d. none o... | b | Multiple Choice | Economics | University | 6 | [
{
"id": "906168",
"score": 0.33265206016045135
},
{
"id": "72583",
"score": 0.3057059939398496
},
{
"id": "2090884",
"score": 0.3019850296995554
},
{
"id": "727094",
"score": 0.29183118541029296
},
{
"id": "1111653",
"score": 0.27434579248011665
}
] |
2087155 | Find the radius of convergence $R$ for the power series $\displaystyle \sum_{n=7}\left ( 1-\frac{4}{n} \right )^nx^{n}$ using the nth-Root Test method. | 1 | Integer | Mathematics | University | 6 | [
{
"id": "263705",
"score": 0.5432062756833903
},
{
"id": "1965714",
"score": 0.5278186545392038
},
{
"id": "546000",
"score": 0.5253683834007434
},
{
"id": "368370",
"score": 0.5076589588322988
},
{
"id": "1471463",
"score": 0.4997623647373473
}
] |
864519 | Aggressive use of operating lease accounting when capital lease accounting is appropriate will always lead to which of the following financial statement effects?
a. Overstated asset balances
b. Understated liability balances
c. Overstated Revenues
d. Understated Expenses
e. Overstated Operating Cashflows | b | Multiple Choice | Business | University | 6 | [
{
"id": "171959",
"score": 0.5005920315442691
},
{
"id": "1135872",
"score": 0.5005920315442691
},
{
"id": "12939",
"score": 0.4784099088704011
},
{
"id": "269054",
"score": 0.469119826698602
},
{
"id": "1622216",
"score": 0.44426710512125334
}
] |
454295 | Annual purchase cost is included in the total cost in:
A. the EOQ model.
B. the economic production lot size model.
C. the quantity discount model.
D. all inventory models. | C | Multiple Choice | Economics | University | 6 | [
{
"id": "231589",
"score": 0.4134879725371723
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{
"id": "1607356",
"score": 0.3816546385226933
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{
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{
"id": "290845",
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{
"id": "675528",
"score": 0.3162078046757111
}
] |
146396 | When economic profits are negative, accounting profits:
a. will be negative
b. will equal zero
c. must be positive
d. could be positive, negative, or zero | d | Multiple Choice | Economics | University | 6 | [
{
"id": "940838",
"score": 0.6599727256215273
},
{
"id": "979338",
"score": 0.6441243034736843
},
{
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{
"id": "487036",
"score": 0.4432039450149867
},
{
"id": "201959",
"score": 0.43620664476515314
}
] |
2005753 | Why does $\lim\limits_{n \rightarrow \infty} n \int^{x+1/n}_x F(t) dt = F(x)$, where $F(x) = \int^x_a f(t) dt$ for a Lebesgue integrable function $f$, and how do I use continuity of $F$ here to evaluate the limit? | $F(x)$ | Expression | Mathematics | University | 6 | [
{
"id": "44893",
"score": 0.47303380604517387
},
{
"id": "1647355",
"score": 0.393683032982141
},
{
"id": "1549151",
"score": 0.3912647059406129
},
{
"id": "406646",
"score": 0.36795420755334945
},
{
"id": "135341",
"score": 0.36398162377016696
}
] |
1467561 | Let $V$ be vector space consisting of all continuous real-valued functions defined on the closed interval $[0,1]$ (over the field of real numbers) and $T$ be linear transformation from $V$ to $V$ defined by $$(Tf)(x) = \int_0 ^1 (3x^3 y - 5x^4 y^2) f(y)\,\mathrm dy$$ Why is $\operatorname{rank}(T) = 2$? | 2 | Integer | Mathematics | University | 6 | [
{
"id": "359857",
"score": 0.3121149735641048
},
{
"id": "2648",
"score": 0.2706995255583644
},
{
"id": "1462565",
"score": 0.24705005138267516
},
{
"id": "1355836",
"score": 0.23228299043668768
},
{
"id": "1365064",
"score": 0.22349422174485328
}
] |
530231 | For 2014, Selma Co. had a beginning inventory of $75,000, ending inventory of $90,000, and net income of $120,000 using the LIFO inventory method. If the FIFO method had been used, beginning inventory would have been $85,000, ending inventory would have been $105,000, and net income would have been?
a. $125,000.
b. $... | a | Multiple Choice | Business | University | 6 | [
{
"id": "1214561",
"score": 0.681693915064163
},
{
"id": "2018600",
"score": 0.5489270273042582
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{
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"score": 0.5378823299885701
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{
"id": "1248614",
"score": 0.5237257529598158
},
{
"id": "1576194",
"score": 0.49935525842860634
}
] |
209237 | Traxx is a newly emerging shoe manufacturing company. After extensive market research, Traxx divides its market into professional athletes, "hobbyists" or amateur players, and people who wear shoes as part of their casual attire. Each category has its own needs, traits, and marketing goals. In this scenario, Traxx has ... | e | Multiple Choice | Business | University | 6 | [
{
"id": "1118770",
"score": 0.15185994105964656
},
{
"id": "719386",
"score": 0.1226464788340872
},
{
"id": "1920265",
"score": 0.11958952024684785
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{
"id": "1947732",
"score": 0.11674936889569462
},
{
"id": "151341",
"score": 0.11444582243833064
}
] |
885973 | Today, you borrowed $20,000 on your credit card to purchase some furniture. The Interest rate is 24.80%, compounds monthly. How long will it take you to pay of this debt assuming that you don't charge anything else and make regular monthly payments of $12007?
A. 1.72 years
B. 4.24 years
C. 11.77 years
D. 20.22 year... | A | Multiple Choice | Finance | University | 6 | [
{
"id": "988739",
"score": 0.6317350693455688
},
{
"id": "1999664",
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{
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{
"id": "1085145",
"score": 0.3407376789225191
},
{
"id": "319314",
"score": 0.3310110266842056
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] |
775299 | How can I show that for a Fourier series u(x) and its associated partial sum $u_J(x)=\sum\limits_{k=-J}^J u_ke^{2\pi i kx}$ that $\int_0^1u(x)u_J(x)\,dx = \sum\limits_{k=-J}^J |u_k|^2$? | $\sum_{k=-J}^J |u_k|^2$ | Expression | Mathematics | University | 6 | [
{
"id": "1820562",
"score": 0.3775648087850168
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{
"id": "304465",
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{
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{
"id": "1112927",
"score": 0.3524176981856071
},
{
"id": "513996",
"score": 0.31525635957619885
}
] |
1675320 | Suppose 1 year T-bills currently yield 7% and the future inflation rate is expected to be constant at 4.5% per year. What is the real risk free rate of return, r*? | 2.39% | Percentage | Economics | University | 6 | [
{
"id": "1913188",
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},
{
"id": "837502",
"score": 0.6000985053816341
},
{
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{
"id": "836394",
"score": 0.4432006879310526
},
{
"id": "256606",
"score": 0.4330057109836203
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] |
838653 | The study of the long run in macroeconomics focuses:
a. Equally on potential GDP and actual GDP.
b. Primarily on changes to the output gap, with a constant level of potential output.
c. On changes to actual GDP but not on changes in potential GDP.
d. Primarily on changes to potential GDP.
e. Primarily on the suppl... | d | Multiple Choice | Economics | University | 6 | [
{
"id": "1072903",
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},
{
"id": "953126",
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},
{
"id": "812986",
"score": 0.37499496839718416
},
{
"id": "1012030",
"score": 0.33789539275325964
},
{
"id": "1450408",
"score": 0.3328778127571383
}
] |
323965 | A financial planner is examining the portfolios held by several of her clients.
Which of the following portfolios is likely to have the smallest standard deviation?
a) A portfolio with 10 randomly selected U.S. stocks
b) A portfolio with 10 randomly selected stocks from U.S. and international markets
c) A portfolio... | b | Multiple Choice | Business | University | 6 | [
{
"id": "304588",
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{
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{
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{
"id": "79611",
"score": 0.3587700764726969
},
{
"id": "965161",
"score": 0.3566940077114433
}
] |
1187533 | Find the second degree Taylor polynomial for the function f(x) = \frac{1}{x} centered at a = 1. | x^2-3x+3 | Expression | Mathematics | University | 6 | [
{
"id": "1994202",
"score": 0.6961539341452635
},
{
"id": "1048248",
"score": 0.5546907143471617
},
{
"id": "1978614",
"score": 0.5449652963236863
},
{
"id": "2104053",
"score": 0.5441380068591372
},
{
"id": "1707449",
"score": 0.5375185786946055
}
] |
760395 | If a tree has $10$ vertices, one of which must have degree of $8$, this means that we essentially have a $K_{1,8}$ star. So the extra vertex can go in one of 8 places, so wouldn't the number of such trees be $8$? However, the answers provided says it says the answer is $8\cdot10\cdot9 = 720$ ?? What am I misunderstandi... | 720 | Integer | Mathematics | University | 6 | [
{
"id": "2091775",
"score": 0.29238602066570973
},
{
"id": "445584",
"score": 0.2372215281703538
},
{
"id": "1080597",
"score": 0.22240091166136727
},
{
"id": "388441",
"score": 0.18886414277499539
},
{
"id": "1472513",
"score": 0.18685662848694437
}
] |
1844458 | Suppose {eq}A {/eq} is a {eq}4 \times 6 {/eq} matrix. If {eq}dim(null(A)) = 3 {/eq}, then {eq}dim(col(A)) = {/eq} _____. | 3 | Integer | Mathematics | University | 6 | [
{
"id": "2020589",
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},
{
"id": "1214052",
"score": 0.6821594305541006
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{
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{
"id": "1727658",
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{
"id": "251509",
"score": 0.659356051536678
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] |
159229 | Changes in the federal funds rate influence the economy's growth rate through all of the following except:
a. making it more or less attractive two people save.
b. making it more or less expensive to borrow.
c. making investment spending more or less attractive.
d. altering the real interest rate when inflation is ... | d | Multiple Choice | Economics | University | 6 | [
{
"id": "159229",
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{
"id": "739183",
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{
"id": "1291127",
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"id": "53938",
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{
"id": "1703615",
"score": 0.22428038529255306
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] |
258707 | Suppose the risk-free return is 7.9%, and the market portfolio has an expected return of 10.5% and a standard deviation of 16%. Johnson & Johnson Corporation stock has a beta of 0.33. What is its expected return? (Round to two decimal places.) | 8.76% | Percentage | Finance | University | 6 | [
{
"id": "1717227",
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{
"id": "1082505",
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{
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{
"id": "887356",
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{
"id": "77504",
"score": 0.4955494364805077
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] |
381686 | Information related to Mingenback Company for 2014 is summarized below.
Total credit sales $2,563,000
Accounts receivable at December 31 907,000
Bad debts written off 32,800
Assume that Mingenback Company estimates its bade debt expense based on 5% of accounts receivable. What amount of bad debt expense will Mingebac... | $41,850 | Float | Business | University | 6 | [
{
"id": "390517",
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{
"id": "398638",
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{
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{
"id": "922722",
"score": 0.45234460387645836
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{
"id": "244792",
"score": 0.4369774879889125
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] |
824925 | Which department is usually held responsible for changes in the amount of materials used?
a. purchasing
b. production
c. engineering
d. marketing
e. None of the above | b | Multiple Choice | Business | University | 6 | [
{
"id": "174287",
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{
"id": "1724668",
"score": 0.24156040974827883
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{
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"score": 0.2387277381441352
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{
"id": "1862551",
"score": 0.2117784676523699
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] |
872462 | If total revenues rise when the market price increases, then we know that:
a. demand is inelastic.
b. demand is elastic.
c. demand is unit-elastic.
d. its demand has zero elasticity. | a | Multiple Choice | Economics | University | 6 | [
{
"id": "938841",
"score": 0.624680492713191
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{
"id": "1701194",
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{
"id": "28479",
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{
"id": "83541",
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] |
1329228 | Given $y = \dfrac{\sqrt{1 + 2x} \sqrt[4]{1 + 4x}}{\sqrt[3]{1 + 3x} \sqrt[5]{1 + 5x} \sqrt[7]{1 + 7x}}$, to find $y'(0)$. The method of binomial expansion is used, neglecting powers of $x$ greater than $1$. The argument for neglecting these terms is provided. An approximate solution $y'(0) = -1$ is obtained. The questio... | -1 | Integer | Mathematics | University | 6 | [
{
"id": "453365",
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{
"id": "37240",
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{
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{
"id": "1536938",
"score": 0.435503753449516
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{
"id": "1805106",
"score": 0.41620784628386887
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] |
968546 | Determine the new number of shares outstanding after ABC has a 5-for-3 stock split, given that ABC Corporation currently has 14,806 shares outstanding. | 24,677 | Integer | Mathematics | University | 6 | [
{
"id": "986858",
"score": 0.49881171879197533
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{
"id": "1027528",
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{
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"score": 0.3970653712216788
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{
"id": "584096",
"score": 0.3896727824924733
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{
"id": "1474488",
"score": 0.37462492790693486
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] |
1818809 | A proteinâs function is determined by the properties of its amino acids. Which replacement of one amino acid with another is least likely to affect the proteinâs function?
a. A hydrophilic amino acid is replaced by a hydrophobic amino acid. an amino acid with a C=O group is replaced by an amino acid with an O-H grou... | b | Multiple Choice | Biology | University | 6 | [
{
"id": "1359898",
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{
"id": "463041",
"score": 0.36371533213637053
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{
"id": "1958776",
"score": 0.26850556964933103
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{
"id": "973594",
"score": 0.25820265662586883
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{
"id": "814515",
"score": 0.22303229138587302
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] |
1172063 | Which of the following statements is correct?
a. By law in most states, all preferred stock must be cumulative, meaning that the compounded total of all unpaid preferred dividends must be paid before any dividends can be paid on the firm's common stock.
b. From the issuer's point of view, preferred stock is less risk... | b | Multiple Choice | Finance | University | 6 | [
{
"id": "1172063",
"score": 1
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{
"id": "1172650",
"score": 0.6370820548160644
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{
"id": "427672",
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{
"id": "1870856",
"score": 0.5266261636247036
},
{
"id": "99977",
"score": 0.499038974775522
}
] |
1058693 | The master budget includes forecasts for all of the following EXCEPT:
a. sales.
b. number of employees.
c. balance sheets.
d. cash disbursements. | b | Multiple Choice | Business | University | 6 | [
{
"id": "820656",
"score": 1.0000000000000002
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{
"id": "1276745",
"score": 0.3980819295163942
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{
"id": "518643",
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{
"id": "1460199",
"score": 0.29699529226008337
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{
"id": "1055497",
"score": 0.240176611942362
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] |
248688 | Why would I have to do $6!$ to find the number of elements of order 5 in $A_6$? | 144 | Integer | Mathematics | University | 6 | [
{
"id": "1884124",
"score": 0.407426976741434
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{
"id": "2043712",
"score": 0.3631779180559033
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{
"id": "26674",
"score": 0.34691813668778493
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{
"id": "817050",
"score": 0.3340436701666718
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{
"id": "1257934",
"score": 0.305323656054544
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] |
1394160 | I have tried approaching the limit from different functions like $x = 0$, $y = 0$, $y = x$, $y = x^2$, etc. But they all go to $0$, so my guess would be that the limit goes to $0$, but how do I show that the limit is definitely $0$? | 0 | Integer | Mathematics | University | 6 | [
{
"id": "429530",
"score": 0.36111143404459645
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{
"id": "1143515",
"score": 0.35780455389397103
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{
"id": "988678",
"score": 0.3017768231988279
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{
"id": "612133",
"score": 0.29059438439219965
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{
"id": "1401580",
"score": 0.29022469412561014
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] |
2045812 | Toyota customers have a wide range of preferences. Some prefer the fuel economy of a hybrid (Prius), some prefer a family van (Odyssey), and others may prefer a large SUV (Highlander). This is an example of _____.
a. horizontal differentiation
b. segmentation
c. vertical differentiation
d. mass customization
e. di... | b | Multiple Choice | Business | University | 6 | [
{
"id": "1835591",
"score": 0.9956588638862357
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{
"id": "92692",
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{
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{
"id": "1509380",
"score": 0.16641875550876237
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{
"id": "1060236",
"score": 0.15565313688403834
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] |
1692075 | What is the sample size you would need to estimate p with a margin of error of 0.02 with 90% confidence? Use 0.4 from the first sample as an approximation of p. | 1624 | Integer | Mathematics | University | 6 | [
{
"id": "189401",
"score": 0.5181165346026739
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{
"id": "1675419",
"score": 0.5043479284641507
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{
"id": "483550",
"score": 0.47511944764727315
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{
"id": "1182552",
"score": 0.4749394702424044
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{
"id": "1401778",
"score": 0.46862488646943024
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] |
250342 | Find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.8. | 0.84 | Float | Mathematics | University | 6 | [
{
"id": "1813318",
"score": 0.4144577626415034
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{
"id": "470628",
"score": 0.41271184604974226
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{
"id": "2030156",
"score": 0.3846744142654135
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{
"id": "788837",
"score": 0.3804111143204634
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{
"id": "919818",
"score": 0.32414448798891876
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] |
287762 | Evaluate {eq}\int \frac{x^2}{(16-x^3)^2} \,dx | \frac{1}{3(16-x^3)}+ C | Expression | Mathematics | University | 6 | [
{
"id": "1252984",
"score": 0.815911617173964
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{
"id": "1092947",
"score": 0.7973112650654837
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{
"id": "1894938",
"score": 0.7557024715850382
},
{
"id": "980078",
"score": 0.7489193989637273
},
{
"id": "314789",
"score": 0.7131058325953633
}
] |
1275636 | Cribb Corporation uses direct labor-hours in its predetermined overhead rate. At the beginning of the year, the estimated direct labor-boors were 15,000 hours and the total estimated manufacturing overhead was $346,500. At the end of the year, actual direct labor-hours for the year were 14,200 hours and the actual manu... | a | Multiple Choice | Business | University | 6 | [
{
"id": "1497198",
"score": 0.667315234356572
},
{
"id": "1787259",
"score": 0.5948036303804909
},
{
"id": "2076864",
"score": 0.527162817499162
},
{
"id": "42001",
"score": 0.5236877034847234
},
{
"id": "1591097",
"score": 0.5094882902590046
}
] |
1556782 | A production function is:
a. a technique for determining the most profitable rate of output
b. the relationship between resource inputs and product output
c. an important factor in determining the shape of the long-run supply curve
d. All of these. | b | Multiple Choice | Economics | University | 6 | [
{
"id": "359003",
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{
"id": "1822104",
"score": 0.29777316049305735
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{
"id": "847505",
"score": 0.29684685211204964
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{
"id": "1738493",
"score": 0.28747287862845927
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{
"id": "1469174",
"score": 0.2821133430221792
}
] |
1499918 | Collison and Ryder Company (C&R) has been experiencing declining market conditions for its sportswear division. Management decided to test the assets of the division for possible impairment. The test revealed the following: book value of division's assets, $29.3 million; fair value of division's assets, $22.4 million; ... | 0 | Integer | Business | University | 6 | [
{
"id": "377359",
"score": 0.7571062199475512
},
{
"id": "237005",
"score": 0.5721990980677343
},
{
"id": "2086816",
"score": 0.45541989345386297
},
{
"id": "1387398",
"score": 0.4080323934609559
},
{
"id": "261583",
"score": 0.3970071759795033
}
] |
1527319 | Clopack Company manufactures one product that goes through one processing department called Mixing. All raw materials are introduced at the start of work in the Mixing Department. The company uses the weighted-average method to account for units and costs. Its work in process T-account for the Mixing Department for Jun... | $136,000 | Integer | Business | University | 6 | [
{
"id": "977607",
"score": 0.6210823684382117
},
{
"id": "297072",
"score": 0.616669300541534
},
{
"id": "886970",
"score": 0.5540661331370684
},
{
"id": "360795",
"score": 0.5539131758098466
},
{
"id": "742048",
"score": 0.548455349300108
}
] |
1016861 | The organizational structure that provides flexibility by making it possible to organize teams around specific projects, products, or markets is the _____ structure.
A) matrix
B) multidivisional
C) functional
D) network | A | Multiple Choice | Business | University | 6 | [
{
"id": "808210",
"score": 0.3798217373030236
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{
"id": "1181430",
"score": 0.31693649843429866
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{
"id": "1304513",
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{
"id": "938506",
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{
"id": "1288655",
"score": 0.26249405883425253
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] |
859870 | Which of the following individuals are responsible for making organization-wide decisions and establishing plans and goals that affect the entire organization?
a. Top managers
b. Senior managers
c. Middle managers
d. All of the above | a | Multiple Choice | Business | University | 6 | [
{
"id": "859870",
"score": 1.0000000000000002
},
{
"id": "1202226",
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{
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{
"id": "931602",
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{
"id": "925397",
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] |
844107 | What should be used to execute this hypothesis test?
a. T-test
b. Z-test | a | Multiple Choice | Mathematics | University | 6 | [
{
"id": "1805765",
"score": 0.6254028700285111
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{
"id": "1378226",
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{
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{
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{
"id": "1002967",
"score": 0.4757824564972093
}
] |
672468 | A 2-year Treasury security currently earns 4.50 percent. Over the next two years, the real interest rate is expected to be 2.02 percent per year and the inflation premium is expected to be 1.22 percent per year. What is the maturity risk premium on the 2-year Treasury security? | 1.26% | Percentage | Business | University | 6 | [
{
"id": "331034",
"score": 0.914261983677002
},
{
"id": "1593412",
"score": 0.5876238084352099
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{
"id": "2088243",
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{
"id": "1227568",
"score": 0.5606872140817258
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{
"id": "709866",
"score": 0.5462029449370539
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] |
724583 | A measure of the quantity of resources consumed by an activity is:
a) Quantity driver.
b) Resource consumption cost driver.
c) Not a cost driver.
d) Activity consumption cost driver.
e) Consumption cost driver. | b | Multiple Choice | Business | University | 6 | [
{
"id": "842663",
"score": 1
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{
"id": "2086348",
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{
"id": "187149",
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{
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{
"id": "1120490",
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] |
973868 | Expected sales for next year for the Huxtable Division is 150,000 units. Bill Cosby, manager of the Huxtable Division, is under pressure to improve the performance of the Division. As he plans for next year, he has to decide whether to produce 150,000 units or 180,000 units. The Huxtable Division will have higher net i... | A | Multiple Choice | Business | University | 6 | [
{
"id": "1176143",
"score": 0.3847202302498433
},
{
"id": "148888",
"score": 0.3820533160596714
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{
"id": "280220",
"score": 0.35356218875068823
},
{
"id": "58232",
"score": 0.34531089280681027
},
{
"id": "345918",
"score": 0.3367383480410436
}
] |
1068679 | When there is excess aggregate demand in the economy, Select one:
a. Desired fiscal restraint equals the AD excess divided by the multiplier.
b. The GDP gap is positive.
c. Full-employment output is higher than equilibrium output.
d. Full-employment output is less than equilibrium output. | d | Multiple Choice | Economics | University | 6 | [
{
"id": "1738493",
"score": 0.43169184882448797
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{
"id": "1880404",
"score": 0.42357599728937584
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{
"id": "354363",
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{
"id": "1955042",
"score": 0.37474002197327594
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{
"id": "691036",
"score": 0.3524597174281429
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] |
1054882 | In a test of {eq}H_{0}:\mu=50{/eq} against {eq}H_{s}:\mu>50{/eq}, the sample data yielded the test statistic z=1.97 . Find the p-value for the test. | 0.0244 | Float | Mathematics | University | 6 | [
{
"id": "1836273",
"score": 0.7292528627685507
},
{
"id": "1345861",
"score": 0.682254310109514
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{
"id": "1851406",
"score": 0.6207387300842732
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{
"id": "951531",
"score": 0.5071496372902102
},
{
"id": "475610",
"score": 0.46598647361032386
}
] |
1805680 | The energy per unit volume in an electromagnetic wave is:
A) all in the magnetic field
B) mostly in the electric field
C) equally divided between the electric and magnetic fields
D) mostly in the magnetic field
E) all in the electric field | C | Multiple Choice | Physics | University | 6 | [
{
"id": "1120828",
"score": 0.5517248582290614
},
{
"id": "561576",
"score": 0.5193907862857357
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{
"id": "1945186",
"score": 0.5133414551822505
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{
"id": "1853210",
"score": 0.4869592863288843
},
{
"id": "1642576",
"score": 0.4819400142681355
}
] |
1029950 | Two friends Alice and Bob have found an unfair coin, It has 72% chance of coming up heads. Alice & Bob plays a game with this coin. If coin comes up heads and then tails, Alice wins. If it's the reverse (tails, then heads), Bob wins. And if neither of those two things happens, the game restarts and continues until ther... | 0.5 | Float | Mathematics | University | 6 | [
{
"id": "380087",
"score": 0.43209610323382963
},
{
"id": "891282",
"score": 0.4315977439969041
},
{
"id": "1932506",
"score": 0.34934222329016995
},
{
"id": "1836361",
"score": 0.3314182111394539
},
{
"id": "240708",
"score": 0.3281641441229497
}
] |
1577883 | Integrate f(x, y) = x + y over the curve C: x^2 + y^2 = 25 in the first quadrant from (5, 0) to (0, 5). | 50 | Integer | Mathematics | University | 6 | [
{
"id": "1844909",
"score": 0.4741803420501969
},
{
"id": "30462",
"score": 0.4519678354275957
},
{
"id": "740846",
"score": 0.37204644535348763
},
{
"id": "1937602",
"score": 0.35786513337664266
},
{
"id": "1318118",
"score": 0.35282847009307633
}
] |
726855 | Well-structured problems can be solved through the use of _____.
a. heuristics only.
b. algorithms only.
c. natural concepts only.
d. heuristics or algorithms. | d | Multiple Choice | Computer Science | University | 6 | [
{
"id": "1675480",
"score": 0.12038080736307873
},
{
"id": "1144380",
"score": 0.09459961525357619
},
{
"id": "1292651",
"score": 0.09081248153322577
},
{
"id": "930778",
"score": 0.08495212843409344
},
{
"id": "513226",
"score": 0.08235238602412004
}
] |
1443519 | According to the VRINE model, what are the two criteria that must be satisfied in order to sustain a competitive advantage?
A) inimitability and exploitability
B) value and exploitability
C) inimitability and nonsubstitutability
D) value and rarity | C | Multiple Choice | Business | University | 6 | [
{
"id": "231589",
"score": 0.10837463691509282
},
{
"id": "1360704",
"score": 0.10637690997037039
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{
"id": "1791002",
"score": 0.09688739584403763
},
{
"id": "1358244",
"score": 0.09553885620205917
},
{
"id": "21021",
"score": 0.08893556080333465
}
] |
1206621 | Expansionary fiscal policy is less effective in an open economy because:
A. increases in the money supply will reduce interest rates and lower the value of the dollar, reducing aggregate demand.
B. increases in government spending can increase interest rates, which increases the value of the dollar and crowds out net... | B | Multiple Choice | Economics | University | 6 | [
{
"id": "18386",
"score": 0.390094241026544
},
{
"id": "1826384",
"score": 0.35493156594961334
},
{
"id": "1885096",
"score": 0.3443608955868514
},
{
"id": "1929363",
"score": 0.33846104052684567
},
{
"id": "1722529",
"score": 0.332398656847816
}
] |
1914951 | Which of the following best describes sunk costs?
a. Costs of ingredients that firm uses to make food it sells to customers
b. Any future costs associated with future decisions of the firm
c. The costs associated with a massive ad campaign the firm uses each month
d. The costs of electricity and utilities the firm ... | c | Multiple Choice | Economics | University | 6 | [
{
"id": "1519621",
"score": 0.40932380313611494
},
{
"id": "382639",
"score": 0.4047775992810245
},
{
"id": "535940",
"score": 0.34465125679460407
},
{
"id": "295752",
"score": 0.31321180879160143
},
{
"id": "905480",
"score": 0.26777162346413264
}
] |
402322 | Find all antiderivatives of the function f(t)=5t(12t^3-10t) and check your work by taking derivatives. | 12t^5-(50t^3)/3+C | Expression | Mathematics | University | 6 | [
{
"id": "1468034",
"score": 0.2607398430584049
},
{
"id": "1368414",
"score": 0.23900106716153904
},
{
"id": "26060",
"score": 0.2089904290902451
},
{
"id": "667894",
"score": 0.2038052725558225
},
{
"id": "1851891",
"score": 0.20258534069783868
}
] |
261851 | Suppose the working-age population is 20 million, the workforce participation rate is 50%, full time employed is 7 million, part-time employed is 2 million, structural and frictional unemployed is 0.4 million, and hidden unemployment is 0.2 million.
The number of the workforce experiencing cyclical unemployment is:
a... | a | Multiple Choice | Economics | University | 6 | [
{
"id": "697349",
"score": 0.5439716581191341
},
{
"id": "694977",
"score": 0.5367380264048954
},
{
"id": "859039",
"score": 0.5080847084461897
},
{
"id": "841499",
"score": 0.5033808335195002
},
{
"id": "1693730",
"score": 0.4908858590522085
}
] |
82494 | In which situation could the teacher use a hypothesis test for a population mean?
A) She gives each student a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a posttest. The teacher wants to see if the difference in scores will show an improvement.
B) She randomly divid... | A | Multiple Choice | Mathematics | University | 6 | [
{
"id": "56393",
"score": 0.2083901412315345
},
{
"id": "901513",
"score": 0.17404692364014154
},
{
"id": "321240",
"score": 0.17129934854882692
},
{
"id": "96372",
"score": 0.1708389121572342
},
{
"id": "1650566",
"score": 0.16415568924062002
}
] |
1614063 | A stock has an expected return of 11 percent, its beta is 0.85, and the risk-free rate is 5.5 percent.
What must the expected return on the market be?
(Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | 11.97% | Percentage | Business | University | 6 | [
{
"id": "1888228",
"score": 0.8889878448678848
},
{
"id": "77504",
"score": 0.874907402135752
},
{
"id": "981343",
"score": 0.8538923213716987
},
{
"id": "887356",
"score": 0.7941677523802171
},
{
"id": "852713",
"score": 0.7400055872131145
}
] |
470497 | Strategy analysis and choice largely involves making _____ decisions based on _____ information.
A) long-term; short-term
B) subjective; objective
C) short-term; long-term
D) subjective; short-term
E) objective; subjective | B | Multiple Choice | Business | University | 6 | [
{
"id": "1058290",
"score": 1
},
{
"id": "1380378",
"score": 0.42967737264901007
},
{
"id": "444463",
"score": 0.40911676967058197
},
{
"id": "1763371",
"score": 0.365257841838602
},
{
"id": "1142491",
"score": 0.365257841838602
}
] |
1534913 | The chairman of Yanzhou Coal Mining reported that the recession had decreased the demand for coal, with its sales failing by 11.9 percent, despite a 10.6 percent cut in price.
Source: cbc.ca, February 5, 2014.
The supply of coal at Yanzhou Coal Mining is:
A. perfectly elastic.
B. perfectly inelastic.
C. elastic bu... | C | Multiple Choice | Economics | University | 6 | [
{
"id": "83541",
"score": 0.5225700042770293
},
{
"id": "1447566",
"score": 0.48640789022351494
},
{
"id": "1249932",
"score": 0.48640789022351494
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{
"id": "28479",
"score": 0.4673942048754212
},
{
"id": "1701194",
"score": 0.4339316767132936
}
] |
677415 | When a project uses labor that is involuntarily unemployed, then the opportunity cost of using such labor will:
a. Generally, be less than the wage rate.
b. Be equal to the wage rate.
c. Be equal to zero.
d. Be equal to marginal value product of labor.
e. None of the above. | A | Multiple Choice | Economics | University | 6 | [
{
"id": "106121",
"score": 0.5447943903264401
},
{
"id": "1533277",
"score": 0.4502827294994178
},
{
"id": "136941",
"score": 0.44701708841936544
},
{
"id": "1201755",
"score": 0.4192333971683525
},
{
"id": "339068",
"score": 0.37689845610600287
}
] |
744939 | In equilibrium, with diminishing marginal products, the slope of the PPF is equal to:
a. the ratio of prices for the products.
b. the slope of the highest possible indifference curve.
c. the ratio of the marginal products of labor.
d. the ratio of prices for the products, the slope of the highest possible indiffere... | d | Multiple Choice | Economics | University | 6 | [
{
"id": "1315721",
"score": 0.3797187986292728
},
{
"id": "682732",
"score": 0.3687645844843812
},
{
"id": "336495",
"score": 0.30118728837975356
},
{
"id": "1384049",
"score": 0.2925621536150966
},
{
"id": "1211122",
"score": 0.2819569284585635
}
] |
691036 | The short-run aggregate supply curve shifts to the right when
A. expected inflation is lower.
B. output gap is lower.
C. expected inflation is higher.
D. output gap is higher. | A | Multiple Choice | Economics | University | 6 | [
{
"id": "2053211",
"score": 0.44157981860468226
},
{
"id": "664138",
"score": 0.4410907556835693
},
{
"id": "979481",
"score": 0.4410907556835693
},
{
"id": "171739",
"score": 0.37999075036012187
},
{
"id": "1236992",
"score": 0.36051426426343247
}
] |
1742057 | What is the derivative of an integral? | f(x) | Expression | Mathematics | University | 6 | [
{
"id": "1225934",
"score": 0.7967483791592658
},
{
"id": "237288",
"score": 0.6043111949211952
},
{
"id": "1485405",
"score": 0.601627048739057
},
{
"id": "1148780",
"score": 0.5897246726460651
},
{
"id": "1050173",
"score": 0.5733948765288028
}
] |
1376697 | Please help me to prove that $$\sum _{k=1} ^N \frac 1 {1-\cos \frac {k\pi} N} = \frac {2N^2 + 1} 6 .$$ | \frac{2N^2+1}{6} | Expression | Mathematics | University | 6 | [
{
"id": "83200",
"score": 0.6119691303955995
},
{
"id": "1367750",
"score": 0.6102375976450064
},
{
"id": "1290013",
"score": 0.6074825617243022
},
{
"id": "651961",
"score": 0.5880078077289935
},
{
"id": "1067574",
"score": 0.5874961261442078
}
] |
696822 | Is it valid to use L'Hopital's rule on a one-sided limit even if the function is not differentiable on an interval around 0 (specifically, for $\lim_{x\rightarrow 0^{+}}\dfrac{\ln(\sin(2x)))}{\ln(\sin(x))}$)? If L'Hopital's rule yields a result for the right-hand limit, does that imply the left-hand limit and the two-s... | 1 | Integer | Mathematics | University | 6 | [
{
"id": "859954",
"score": 0.5901630623618028
},
{
"id": "1575462",
"score": 0.5663127902034694
},
{
"id": "159010",
"score": 0.5314138234148932
},
{
"id": "351551",
"score": 0.509841125591338
},
{
"id": "852172",
"score": 0.45276016269210917
}
] |
344904 | Find the derivative of x^2 e^x - 2xe^x. | $x^2 e^x - 2e^x$ | Expression | Mathematics | University | 6 | [
{
"id": "462798",
"score": 0.6290165904746163
},
{
"id": "61981",
"score": 0.6221049228287674
},
{
"id": "1225934",
"score": 0.5326822049557814
},
{
"id": "1742057",
"score": 0.4244136834055027
},
{
"id": "1485405",
"score": 0.40222990252145696
}
] |
1582785 | The expected return for a stock, calculated using the CAP M is 10.5%. The market free return is 9.5% and the beta of the stock is 1.50. Calculate the implied risk-free rate. | 7.50% | Percentage | Finance | University | 6 | [
{
"id": "394937",
"score": 0.6135035309521308
},
{
"id": "868571",
"score": 0.596480917853179
},
{
"id": "1717227",
"score": 0.5935079162700125
},
{
"id": "1624842",
"score": 0.5600219618304216
},
{
"id": "1286960",
"score": 0.5506854593795046
}
] |
1318352 | A company is expected to maintain a constant 3 percent growth rate in its dividends indefinitely. If the company's stock has a dividend yield of 4.85 percent, what is the required return on the stock? | 7.85% | Percentage | Business | University | 6 | [
{
"id": "1803655",
"score": 0.8336696623132396
},
{
"id": "1276594",
"score": 0.6278591071113557
},
{
"id": "636503",
"score": 0.6097537213787072
},
{
"id": "1841509",
"score": 0.5920768226254685
},
{
"id": "1678612",
"score": 0.5879590115509623
}
] |
159387 | Global Internet company is looking to expand its operations. They are evaluating the cost of capital based on various financing options. Investment bankers informed them that they can issue new debt in the form of bonds at a cost of 8%, and issue new preferred stocks for the price of $25 per share paying $2.5 dividends... | 9.09% | Percentage | Business | University | 6 | [
{
"id": "580053",
"score": 0.43548556503483915
},
{
"id": "427672",
"score": 0.41386875988297117
},
{
"id": "1511206",
"score": 0.40837450791656327
},
{
"id": "757663",
"score": 0.3852193755512126
},
{
"id": "1544133",
"score": 0.3733194757354083
}
] |
1474488 | The number of shares of a class of stock that are outstanding is:
a. the number of shares authorized minus the number of shares issued.
b. the number of shares authorized minus the number of shares held as treasury stock.
c. the number of shares issued minus the number of shares held as treasury stock.
d. the numbe... | c | Multiple Choice | Business | University | 6 | [
{
"id": "1193634",
"score": 0.5440585275501569
},
{
"id": "1090218",
"score": 0.4823961055180667
},
{
"id": "697224",
"score": 0.4765356682881665
},
{
"id": "1539076",
"score": 0.4687191049817272
},
{
"id": "1818026",
"score": 0.4260528417880137
}
] |
290930 | Use polar coordinates to find the limit:
{eq}\displaystyle \lim_{(x, y) \to (0, 0)} \frac{6e^{-x^2 - y^2} - 6}{x^2 + y^2} {/eq} | -6 | Integer | Mathematics | University | 6 | [
{
"id": "961380",
"score": 0.6371949630099112
},
{
"id": "333375",
"score": 0.6286066951197118
},
{
"id": "1913653",
"score": 0.5593304191208284
},
{
"id": "790297",
"score": 0.5177039311706351
},
{
"id": "154375",
"score": 0.516409725583763
}
] |
358852 | Kinoland Company owns machinery that cost $900,000 and has accumulated depreciation of $360,000. The expected future net cash flows from the use of this asset are $550,000. The fair value of the equipment is $400,000.
If this machinery has an impairment loss, what is the amount of the loss? | $140,000 | Integer | Business | University | 6 | [
{
"id": "343408",
"score": 0.6247081063355774
},
{
"id": "455538",
"score": 0.5615793627739694
},
{
"id": "1925328",
"score": 0.4439789330381857
},
{
"id": "1090670",
"score": 0.40742597625658017
},
{
"id": "1390599",
"score": 0.375463862464622
}
] |
19359 | Calculate the double integral {eq}\iint_R (2x+8y+16) \, dA{/eq}, where {eq}R{/eq} is the region {eq}0 \leq x \leq 4, 0 \leq y \leq 1{/eq} | 96 | Integer | Mathematics | University | 6 | [
{
"id": "2083461",
"score": 0.8379824145210566
},
{
"id": "1666088",
"score": 0.7945718804352992
},
{
"id": "828331",
"score": 0.7796564592149686
},
{
"id": "940440",
"score": 0.7719221440522681
},
{
"id": "1113512",
"score": 0.7647593703392095
}
] |
2009388 | How do you, using simple first principles for real and complex analysis at the undergraduate level, conclude that the series $\sum_{n=0}^{\infty} e^{nx}$ has a pole of order 1 at $x=0$ by working directly with the series and without using the closed-form expression $\frac{1}{1-e^x}$? | 1 | Integer | Mathematics | University | 6 | [
{
"id": "1408262",
"score": 0.3183955977435433
},
{
"id": "1591767",
"score": 0.31407295317493455
},
{
"id": "1598337",
"score": 0.309445042397399
},
{
"id": "106509",
"score": 0.2882943538049828
},
{
"id": "1889709",
"score": 0.2843762517773064
}
] |
1473813 | Using the superheated table at P = 700 kPa, we get,
The specific internal energy of the refrigerant at the final state is, u2=390.8 kJ/kg
How does one get this answer of 390.8 kj/kg? | 390.8 kJ/kg | Float | Physics | University | 6 | [
{
"id": "1970192",
"score": 0.5286117400695926
},
{
"id": "538612",
"score": 0.3984191600940641
},
{
"id": "518659",
"score": 0.3463659552561808
},
{
"id": "1706790",
"score": 0.3445589030485613
},
{
"id": "2045054",
"score": 0.3398669179381423
}
] |
1145158 | Yolanda took $5,000 from her checking account and put the money in her wallet.
A. Neither M1 nor M2 changed.
B. Both M1 and M2 were reduced by $5,000.
C. M1 and M2 both rose by $5,000.
D. M1 went down by $5,000, but M2 was unchanged. | A | Multiple Choice | Economics | University | 6 | [
{
"id": "2102492",
"score": 0.8103926240421682
},
{
"id": "1977788",
"score": 0.7611081897906893
},
{
"id": "1046603",
"score": 0.7464140329668967
},
{
"id": "435129",
"score": 0.6542651654810472
},
{
"id": "1286005",
"score": 0.6527617488458011
}
] |
1262552 | The units of Manganese Plus available for sale during the year were as follows:
Mar. 1 Inventory 21 units @ $30 $630
June 16 Purchase 31 units @ $33 1,023
Nov. 28 Purchase 43 units @ $37 1,591
95 units $3,244
There are 17 units of the product in the physical inventory at November 30. The periodic inventory system is... | 119 | Integer | Business | University | 6 | [
{
"id": "1123978",
"score": 0.8536467821033811
},
{
"id": "1809138",
"score": 0.8078898688670411
},
{
"id": "1431008",
"score": 0.4664909572600646
},
{
"id": "1362249",
"score": 0.46143055401517674
},
{
"id": "696418",
"score": 0.45051916381599755
}
] |
753763 | Suppose there was a basis for and a certain number of dimensions for subspace W in R^4. Why is the number of dimensions 2? | 2 | Integer | Mathematics | University | 6 | [
{
"id": "204318",
"score": 0.35680643237299564
},
{
"id": "1538691",
"score": 0.3143038129871604
},
{
"id": "1818026",
"score": 0.2901409629488487
},
{
"id": "131167",
"score": 0.27485562887770043
},
{
"id": "952095",
"score": 0.2417227921272703
}
] |
1187144 | Find a value {eq}z_0{/eq} of the standard normal random variable {eq}z{/eq} such that {eq}\displaystyle P (-z_0 \le z \le z_0) = 0.95{/eq}. | 1.96 | Float | Mathematics | University | 6 | [
{
"id": "450211",
"score": 0.9194593080475055
},
{
"id": "1305812",
"score": 0.8046477452843372
},
{
"id": "1978263",
"score": 0.5430494776548318
},
{
"id": "233226",
"score": 0.5385185749940293
},
{
"id": "1242014",
"score": 0.5252920854055982
}
] |
667284 | There is a theorem that states if $A$ in $S_n$ is a $k$-cycle, and $A = a_1 a_2 a_3 \dots a_m$, where $a_i$ are transpositions, then $m \geq k-1$. How to show there are at least $k-1$ distinct transpositions in the decomposition $A = a_1 a_2 a_3 \dots a_m$? | k-1 | Integer | Mathematics | University | 6 | [
{
"id": "26674",
"score": 0.3572613479777815
},
{
"id": "401709",
"score": 0.27258976341603586
},
{
"id": "1529281",
"score": 0.271528044692366
},
{
"id": "1346119",
"score": 0.271528044692366
},
{
"id": "319286",
"score": 0.2525387102246955
}
] |
225378 | How can I evaluate \[ \lim_{t\to 0} \frac{e^{-1/t}}{t}\quad ? \] | 0 | Integer | Mathematics | University | 6 | [
{
"id": "718448",
"score": 0.49178141242697004
},
{
"id": "1542550",
"score": 0.4870077762677091
},
{
"id": "1094183",
"score": 0.4662441181844271
},
{
"id": "1727019",
"score": 0.44246446444131693
},
{
"id": "1167230",
"score": 0.429937778750409
}
] |
2036496 | If the required return from an asset is 10%, and the asset has a 60% probability of yielding a 20% return and a 40% probability of earning a 5% return, you should:
a) Not acquire the asset since the expected return of 32% exceeds the required return
b) Purchase the asset since the expected return of 14% exceeds the r... | b | Multiple Choice | Finance | University | 6 | [
{
"id": "825352",
"score": 0.6034218520567776
},
{
"id": "1929629",
"score": 0.5197000919281126
},
{
"id": "32202",
"score": 0.4246876532108304
},
{
"id": "868571",
"score": 0.41746114732672945
},
{
"id": "1889885",
"score": 0.41700387755440116
}
] |
900834 | Why does the integral $\int_{-a}^{a} cos(\frac{n\pi x}{a})cos(\frac{m\pi x}{a})dx = a\delta_{mn}$ with $m, n \in \mathbb{Z}$, given my attempt to evaluate it which yields a different result, particularly when $m=n$? | $a\delta_{mn}$ | Expression | Mathematics | University | 6 | [
{
"id": "1560093",
"score": 0.5033730253087029
},
{
"id": "1367750",
"score": 0.4409506988726444
},
{
"id": "1643558",
"score": 0.4401747054826996
},
{
"id": "2029954",
"score": 0.4195164187031902
},
{
"id": "601740",
"score": 0.4193938049015933
}
] |
333827 | Solutions to the moral hazard problem include?
A) low net worth.
B) monitoring and enforcement of restrictive covenants.
C) greater reliance on equity contracts and less on debt contracts.
D) greater reliance on debt contracts than financial intermediaries. | B | Multiple Choice | Economics | University | 6 | [
{
"id": "161449",
"score": 0.17542856823717914
},
{
"id": "347732",
"score": 0.17268572501321008
},
{
"id": "1499063",
"score": 0.16440908527789588
},
{
"id": "1309178",
"score": 0.14328384006755493
},
{
"id": "1947020",
"score": 0.14300356925289343
}
] |
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