id string | problem string | answer string | answer_type string | category string | difficulty string | eval_score int64 | similar_problems list |
|---|---|---|---|---|---|---|---|
1165661 | Find the Taylor polynomial P2(x) of 2nd degree to f(x) = 1/2 ln((1+x)/(1-x)) at 0, where x is in the interval (-1, 1). | x | Expression | Mathematics | University | 5 | [
{
"id": "1994202",
"score": 0.46363294788893283
},
{
"id": "1187533",
"score": 0.45293590968411335
},
{
"id": "1917707",
"score": 0.4441010892983588
},
{
"id": "1048248",
"score": 0.40165134756006426
},
{
"id": "1595314",
"score": 0.3272656887382144
}
] |
136941 | Suppose the marginal product of labor is 10 and the marginal product of capital is 8. If the wage rate is $5 and the price of capital is $2 then in order to minimize costs the firm should use:
a. more capital and less labor
b. more labor and less capital
c. equal amounts of labor and capital
d. none of the statemen... | a | Multiple Choice | Economics | University | 5 | [
{
"id": "339068",
"score": 0.9110902924637366
},
{
"id": "1292284",
"score": 0.5900566078629069
},
{
"id": "106121",
"score": 0.4945606910450119
},
{
"id": "1201755",
"score": 0.4892550803356954
},
{
"id": "2029116",
"score": 0.4821942754587873
}
] |
922895 | Can anyone explain how to do this derivative? I am given the function $$f(x, g(x)) = k$$. I have been told by my teacher that the derivative w.r.t $x$ is: $$f_x + g'(x)f_y$$. Explain this in simple terms. | f_x + g'(x)f_y | Expression | Mathematics | University | 5 | [
{
"id": "1225934",
"score": 0.4404421589820536
},
{
"id": "1445430",
"score": 0.389227705652971
},
{
"id": "1788844",
"score": 0.3526242892753335
},
{
"id": "1742057",
"score": 0.3509215762823588
},
{
"id": "1485405",
"score": 0.3325791720194551
}
] |
325137 | The objective coefficient is 300 with an allowable increase of 50 and an allowable decrease of 25 in the sensitivity report. The coefficient increased to 330, with all others remaining the same. What is true?
a. The solution is still unique
b. The model is no longer optimal, with the total profit increasing.
c. The mod... | c | Multiple Choice | Mathematics | University | 5 | [
{
"id": "1827900",
"score": 0.22858959647756896
},
{
"id": "669088",
"score": 0.21775588468540638
},
{
"id": "231589",
"score": 0.19814125643952843
},
{
"id": "454295",
"score": 0.18119157304950453
},
{
"id": "1253372",
"score": 0.15448434309521308
}
] |
976278 | Your firm has been in business for two years. In its first year, the firm ended with $227,000 of current assets, long-term assets of $143,000, $70,000 in surplus cash, current liabilities of $52,000, and long-term assets of $68,000. At the end of the second year, current assets were $279,000, long-term assets of $195,0... | c | Multiple Choice | Business | University | 5 | [
{
"id": "1081470",
"score": 0.5593680384405288
},
{
"id": "1400324",
"score": 0.5545025230353587
},
{
"id": "338627",
"score": 0.5516977478327266
},
{
"id": "178555",
"score": 0.5415819389548456
},
{
"id": "816210",
"score": 0.5262549893693731
}
] |
196075 | All of the following are part of Erikson's 8 Stages of Development except:
a) Identity vs. Role Confusion.
b) Ego Integrity vs. Disgust.
c) Initiative vs. Guilt.
d) Trust vs. Mistrust. | B | Multiple Choice | Psychology | University | 5 | [
{
"id": "1770564",
"score": 0.2729092070162226
},
{
"id": "399019",
"score": 0.22502727423605054
},
{
"id": "1499540",
"score": 0.19129168290701173
},
{
"id": "1951105",
"score": 0.18329040377983713
},
{
"id": "368109",
"score": 0.17474982776222103
}
] |
547398 | Which of the following mutations in a peptide sequence is most likely to result in a functional protein?
A) Aspartic acid to arginine.
B) Glutamic acid to glutamine.
C) Glutamine to asparagine.
D) Phenylalanine to serine.
E) Phenylalanine to tyrosine. | C | Multiple Choice | Biology | University | 5 | [
{
"id": "1782526",
"score": 1
},
{
"id": "1958776",
"score": 0.16573694444196158
},
{
"id": "973594",
"score": 0.15937739917967886
},
{
"id": "1818809",
"score": 0.143823515594012
},
{
"id": "398601",
"score": 0.1411337779880266
}
] |
669107 | Determine whether the taxpayer in the following situation has realized income. Explain why there has or has not been a realization, and determine the amount of income to be reported.
Janet owns a pest-control service. She charges customers $50 per month for basic pest control. Alternatively, customers can pay a lump s... | $39,000 | Integer | Law | University | 5 | [
{
"id": "1067804",
"score": 0.27368849513998794
},
{
"id": "1442170",
"score": 0.18840842437725935
},
{
"id": "1510379",
"score": 0.18551863562042578
},
{
"id": "248956",
"score": 0.18199902416961056
},
{
"id": "141130",
"score": 0.17244608308208711
}
] |
487841 | With 80% confidence, for sample proportion 0.52 and sample size 29, what is the upper confidence limit? | 0.639 | Float | Mathematics | University | 5 | [
{
"id": "2071447",
"score": 0.8219288869647347
},
{
"id": "1675419",
"score": 0.6864371192013176
},
{
"id": "1182552",
"score": 0.6859579723056156
},
{
"id": "483550",
"score": 0.6466560215934297
},
{
"id": "175918",
"score": 0.6043130204438277
}
] |
1217409 | Find the length of the cardioid r = 2 + 2cos(θ). | 16 | Integer | Mathematics | University | 5 | [
{
"id": "1346718",
"score": 0.6326260970305053
},
{
"id": "1923854",
"score": 0.6190070815798207
},
{
"id": "892103",
"score": 0.454057517925876
},
{
"id": "953570",
"score": 0.2974407824023538
},
{
"id": "1876483",
"score": 0.28333574721507654
}
] |
94238 | Berman's Camera Shop has prepared the following flexible budget for September and is in the process of interpreting the variances.
Flexible budget
Price variance
Efficiency variance
Material A
$40,000
$1,000F
$3,000U
Material B
60,000
500F
1,500U
Direct m... | B | Multiple Choice | Business | University | 5 | [
{
"id": "1813743",
"score": 0.7161521723241202
},
{
"id": "1898731",
"score": 0.39060398811188757
},
{
"id": "125694",
"score": 0.3213252162799881
},
{
"id": "1602307",
"score": 0.2948932413633637
},
{
"id": "1319908",
"score": 0.2845330750256757
}
] |
901419 | CompuTronics, a manufacturer of computer peripherals, has excess capacity. The company's Utah plant has the following per-unit cost structure for item no. 89:
Variable manufacturing $60
Fixed manufacturing 25
Variable selling 8
Fixed selling 11
Traceable fixed administrative 4
Allocated administrative 2
The trac... | a | Multiple Choice | Business | University | 5 | [
{
"id": "36401",
"score": 0.9485188189713452
},
{
"id": "1360250",
"score": 0.4646402480270473
},
{
"id": "740537",
"score": 0.44838516877929174
},
{
"id": "929759",
"score": 0.44011592813477773
},
{
"id": "735811",
"score": 0.41987023851931865
}
] |
1961717 | Determine and interpret a 90% confidence interval for the mean amount of time Americans aged 15 or older spend eating and drinking each day.
(Select the correct choice below and fill in the answer boxes, if applicable, in your choice. Type integers or decimals rounded to three decimal places as needed. Use ascending o... | c | Multiple Choice | Mathematics | University | 5 | [
{
"id": "1364651",
"score": 0.405943744140969
},
{
"id": "973995",
"score": 0.296472534329063
},
{
"id": "1171719",
"score": 0.27877943964406016
},
{
"id": "2020589",
"score": 0.26867065584868616
},
{
"id": "1795180",
"score": 0.2599381426541387
}
] |
1199975 | {eq}\lim_{\theta \rightarrow 0} \frac{\sin(\cos(3 \theta))}{\sec (5 \theta)} | sin(1) | Expression | Mathematics | University | 5 | [
{
"id": "428818",
"score": 0.9064582470646304
},
{
"id": "1260268",
"score": 0.7517904877168946
},
{
"id": "1581651",
"score": 0.7429427066532016
},
{
"id": "264262",
"score": 0.734674844979177
},
{
"id": "1878926",
"score": 0.7294843025013136
}
] |
843703 | For an attributes sampling plan, the tolerable deviation rate is 4%, the computed upper deviation rate is 7%, the sample deviation rate is 3%, and the risk of assessing control risk too low is 5%. Which of the following is true?
a. The auditor must increase control risk because the risk of assessing control risk too l... | d | Multiple Choice | Business | University | 5 | [
{
"id": "1420531",
"score": 0.4717562801307213
},
{
"id": "1067804",
"score": 0.3107251391206544
},
{
"id": "1818801",
"score": 0.2936441802894548
},
{
"id": "1831225",
"score": 0.286549971219861
},
{
"id": "1510379",
"score": 0.2643853789521826
}
] |
564158 | Find the equilibria of the differential equation N'(t) = λ N(t). | N(t) = 0 | Expression | Mathematics | University | 5 | [
{
"id": "1017929",
"score": 0.5467708183782957
},
{
"id": "321987",
"score": 0.4352674220874104
},
{
"id": "1054500",
"score": 0.4164612132433112
},
{
"id": "501208",
"score": 0.40628392936627367
},
{
"id": "1514202",
"score": 0.40574028892401853
}
] |
1578072 | Let $G$ be a cyclic group of order $m$. What is the order of $\text{Aut}(G)$? | $\phi(m)$ | Expression | Mathematics | University | 5 | [
{
"id": "451861",
"score": 0.5931773838503217
},
{
"id": "147976",
"score": 0.49944271499061155
},
{
"id": "1793112",
"score": 0.46891710767787276
},
{
"id": "2043712",
"score": 0.4647238532062513
},
{
"id": "1156234",
"score": 0.36260235434629967
}
] |
528441 | If you run hemoglobin on an SDS-PAGE gel, how many bands are you likely to see? Why? | two | Integer | Biology | University | 5 | [
{
"id": "564950",
"score": 0.1910078507989306
},
{
"id": "1724185",
"score": 0.15371937319910076
},
{
"id": "296132",
"score": 0.15287800702319082
},
{
"id": "784146",
"score": 0.1493904675475171
},
{
"id": "523162",
"score": 0.14663946789970472
}
] |
1724498 | A firm is considering two alternatives that have no salvage value, shown in the table below:
A
B
Initial Cost
$10,700
$5,500
Uniform Annual Benefits
2,100
1,800
Useful Life (in Years)
8
4
Assume that at the end of four years, an... | B | Multiple Choice | Business | University | 5 | [
{
"id": "561801",
"score": 0.42157706054864563
},
{
"id": "1510996",
"score": 0.37555577404844653
},
{
"id": "678195",
"score": 0.3317302437539394
},
{
"id": "539195",
"score": 0.30737979731991083
},
{
"id": "1681543",
"score": 0.30364233146267783
}
] |
421910 | Which of the following is included in the conditions in which vertical relationships can enhance a firm's ability to price discriminate?
a. The costs of arbitraging the price difference across markets is large
b. The manufacturer acquires the distributor in the higher-priced market.
c. Lack of competition provides t... | a | Multiple Choice | Economics | University | 5 | [
{
"id": "110380",
"score": 0.25294355966210424
},
{
"id": "1258516",
"score": 0.2310671479258525
},
{
"id": "623023",
"score": 0.22761013995622598
},
{
"id": "1100397",
"score": 0.2061099221673559
},
{
"id": "1550029",
"score": 0.20319385387071529
}
] |
1042439 | Write the expression $a+b+|a-b|$ in equivalent form not involving absolute values. The answer is $2\max(a,b)$. How do I arrive at this answer? | 2max(a, b) | Expression | Mathematics | University | 5 | [
{
"id": "2010953",
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},
{
"id": "1231223",
"score": 0.21071199684985462
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{
"id": "1389962",
"score": 0.19266525821833885
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{
"id": "535971",
"score": 0.19090836350773632
},
{
"id": "597705",
"score": 0.18610661979177778
}
] |
979137 | Nevada Boot Co. reported net income of $218,000. Beginning and ending inventory balances were $44,500 and $46,500, respectively. Accounts payable balances at the beginning and end of the year were $39,000 and $35,000, respectively. Assuming that all relevant information has been presented, Nevada Boot would report oper... | $212,000.00 | Float | Business | University | 5 | [
{
"id": "419823",
"score": 0.9040921324319545
},
{
"id": "1129981",
"score": 0.4145904640544198
},
{
"id": "988728",
"score": 0.3733886103335634
},
{
"id": "822901",
"score": 0.3633314571643694
},
{
"id": "748812",
"score": 0.35536747025209725
}
] |
1792877 | A box contains 10,000 tickets: 4,000 0's and 6,000 1's. And 10,000 draws will be made at random without replacement from this box. Which of the following best describes the situation, and why?
i) The number of 1's will be 6,000 exactly.
ii) The number of 1's is very likely to equal 6,000, but there is also some small... | iii | Multiple Choice | Mathematics | University | 5 | [
{
"id": "1655547",
"score": 0.399658948499368
},
{
"id": "1400324",
"score": 0.39326719366503216
},
{
"id": "1315231",
"score": 0.39090631774971185
},
{
"id": "2097696",
"score": 0.3897998736766557
},
{
"id": "1674246",
"score": 0.3851963243034465
}
] |
1120490 | Consumer surplus:
a. is always positive.
b. for a particular unit of consumption is computed by taking the difference between quantity demand and quantity supplied.
c. for all units consumed is the area below demand and below market price over all the units consumed.
d. added to producer surplus provides a measure ... | d | Multiple Choice | Economics | University | 5 | [
{
"id": "1799424",
"score": 0.3797553487606544
},
{
"id": "1186625",
"score": 0.3792942212958336
},
{
"id": "1623001",
"score": 0.364422573112362
},
{
"id": "197119",
"score": 0.3259839281386003
},
{
"id": "1258926",
"score": 0.29995067033086553
}
] |
407635 | Wolsey Industries Inc expects to maintain the same inventories at the end of 2014 as at the beginning of the year. The total of all production cost for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the cost for thei... | 4 | Integer | Business | University | 5 | [
{
"id": "1368073",
"score": 0.5538553346947266
},
{
"id": "131351",
"score": 0.47700790663225245
},
{
"id": "400311",
"score": 0.4620523949127257
},
{
"id": "131261",
"score": 0.41426355455333386
},
{
"id": "1254135",
"score": 0.4103763777750864
}
] |
53269 | What is the limit of (1+2x)^(1/x) as x approaches infinity? | 1 | Integer | Mathematics | University | 5 | [
{
"id": "53269",
"score": 1
},
{
"id": "1982398",
"score": 0.9032845787735442
},
{
"id": "158516",
"score": 0.8700749174184049
},
{
"id": "694962",
"score": 0.7375881778005253
},
{
"id": "1433996",
"score": 0.6584168693199473
}
] |
1260268 | For the limit as $x,y$ go to $0$ of $\frac{xy}{\sqrt{x^2+y^2}}$, when I change the equation to polar coordinates I recieve $\frac{r\cos(\theta)r\sin(\theta)}{r}$. I then factor out and $r$ from both the top and the bottom and get the answer $\cos(\theta)\sin(\theta)$. The book states the answer is $r\cos(\theta)\sin(\t... | 0 | Integer | Mathematics | University | 5 | [
{
"id": "1199975",
"score": 0.7517904877168946
},
{
"id": "428818",
"score": 0.7495944906957859
},
{
"id": "1581651",
"score": 0.7280420536432364
},
{
"id": "1878926",
"score": 0.6787173045912928
},
{
"id": "264262",
"score": 0.6731062509324265
}
] |
527624 | If the market portfolio is expected to offer returns of 16%, then what can be said about a portfolio expected to return 13%?
A. It plots above the security market line
B. Part of the portfolio is invested in treasury bills
C. The portfolio is not diversified
D. The portfolio's beta is less than 1.0 | D | Multiple Choice | Finance | University | 5 | [
{
"id": "1072160",
"score": 0.6004165692029195
},
{
"id": "304588",
"score": 0.5980502751755307
},
{
"id": "773740",
"score": 0.5720628234597032
},
{
"id": "79611",
"score": 0.5693168412656622
},
{
"id": "1542497",
"score": 0.5552988147513076
}
] |
1955042 | What will happen to the equilibrium price level and the equilibrium quantity of output if a major earthquake destroys much of the plant and equipment on the West Coast? Assume an upward sloping aggregate supply curve.
a. The equilibrium price level increases while the equilibrium quantity of output decreases.
b. The ... | a | Multiple Choice | Economics | University | 5 | [
{
"id": "369445",
"score": 0.5352897518367592
},
{
"id": "1613456",
"score": 0.45799314008814207
},
{
"id": "773500",
"score": 0.4486014305392789
},
{
"id": "44917",
"score": 0.44152175189961773
},
{
"id": "1400548",
"score": 0.44152175189961773
}
] |
1964285 | Why does $P_{\text{B}}(x)$ take a local maximum value where $x=np$? | x=np | Expression | Mathematics | University | 5 | [
{
"id": "1788834",
"score": 0.4003155771819968
},
{
"id": "1274543",
"score": 0.3714552686577364
},
{
"id": "1588184",
"score": 0.2703294480385379
},
{
"id": "187423",
"score": 0.26769687802860276
},
{
"id": "1014834",
"score": 0.2587072887695345
}
] |
1296294 | Last week, Railway Cabooses paid their annual dividend of $1.20 per share. The company has been reducing the dividends by 5% each year. How much are you willing to pay to purchase stock in this company if your required rate of return is 14%?
A. $4.50
B. $6.00
C. $10.80
D. $12.67
E. $27.00 | B | Multiple Choice | Finance | University | 5 | [
{
"id": "1362903",
"score": 0.5822812393754838
},
{
"id": "118067",
"score": 0.3731485407263607
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{
"id": "1141868",
"score": 0.3728321382713092
},
{
"id": "604107",
"score": 0.3581666218832423
},
{
"id": "1172211",
"score": 0.346751370466259
}
] |
1900037 | Since cognitive and behavioral therapies change troublesome thoughts and behaviors, respectively, without looking for the origins of these thoughts and behaviors, these therapies would be considered _____ therapies.
a. directive b. nondirective c. action d. insight | c | Multiple Choice | Psychology | University | 5 | [
{
"id": "1900037",
"score": 1
},
{
"id": "851513",
"score": 0.12440078000311233
},
{
"id": "787024",
"score": 0.12279205651861544
},
{
"id": "950127",
"score": 0.11844181419822601
},
{
"id": "1202912",
"score": 0.09991814329142835
}
] |
862130 | TIE RATIO AEI Incorporated has $5 billion in assets, and its tax rate is 40%, Its basic earning power (BEP) ratio is 10%, and its return on assets (ROA) is 5%. What is AEI's times interest-earned (TIE) ratio? | 6 | Integer | Business | University | 5 | [
{
"id": "1837139",
"score": 0.3162002976072379
},
{
"id": "1384049",
"score": 0.2853252717832103
},
{
"id": "479840",
"score": 0.2810739366117152
},
{
"id": "504894",
"score": 0.2685197067003224
},
{
"id": "2057305",
"score": 0.26682229341568686
}
] |
1353990 | Use Green's Theorem to evaluate {eq}\displaystyle \int_{C}^{ }2\arctan (\frac{y}{x}) \ dx \ +\ln (x^{2}+y^{2}) \ dy, \ C: x=3+4\cos (\theta), \ y=3+\sin (\theta )
{/eq} | 0 | Integer | Mathematics | University | 5 | [
{
"id": "428818",
"score": 0.6198661672832294
},
{
"id": "1279534",
"score": 0.6165399000920462
},
{
"id": "1194739",
"score": 0.6025553771287919
},
{
"id": "264262",
"score": 0.5920164394603128
},
{
"id": "1199975",
"score": 0.5857492348498767
}
] |
2019297 | Consider a Poisson distribution with {eq}\lambda{/eq} = 4.0. Find {eq}P(X \geq 1){/eq}. | 0.9817 | Float | Mathematics | University | 5 | [
{
"id": "895100",
"score": 0.8908463162184229
},
{
"id": "1014453",
"score": 0.7353961412348519
},
{
"id": "2020589",
"score": 0.6337283985307747
},
{
"id": "89939",
"score": 0.6321605480291962
},
{
"id": "1012257",
"score": 0.6187948971962187
}
] |
1859684 | Using the limit definition of definite integral, evaluate {eq}\int_{0}^{4} x dx{/eq} | 8 | Integer | Mathematics | University | 5 | [
{
"id": "1510197",
"score": 0.6336644322110604
},
{
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{
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{
"id": "1986149",
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] |
1124392 | On January 1, 2021, you are considering making an investment that will pay three annual payments of $10,000. The first payment is not expected until December 31, 2023. You are eager to earn 3%. What is the present value of the investment on January 1, 2021?
A. $26,662
B. $27,462
C. $28,286
D. $29,135 | A | Multiple Choice | Business | University | 5 | [
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418778 | The Two Sisters has a 17 percent return on equity and a 31 percent retention ratio. What is the sustainable growth rate (under constant debt/equity)?
a) 4.99 Percent
b) 11.11 Percent
c) 5.56 Percent
d) 22.56 Percent
e) 11.73 Percent | c | Multiple Choice | Business | University | 5 | [
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1502521 | Two projects being considered by a firm are mutually exclusive and have the following projected cash flows:
Year
Project A
Project B
0
-$100,000
-$100,000
1
$39,500
0
2
$39,500
0
3
$39,500
$133,000
Which proje... | b | Multiple Choice | Finance | University | 5 | [
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1723627 | What is the probability of selecting a random point in a space such that it'll lie in a given plane (for instance like x-y plane) provided that point have integral co-ordinates? | 0 | Integer | Mathematics | University | 5 | [
{
"id": "1193737",
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{
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] |
1390599 | Saxby Company purchased equipment for $250,000 on January 1, 2013, with an estimated useful life of 5 years and expected salvage value of $50,000. Straight-line depreciation is used. On December 31, 2014 (after depreciation had been recorded for the second year), an analysis of economic factors implied that the market ... | b | Multiple Choice | Business | University | 5 | [
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{
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] |
71471 | When expressing proteins with multiple subunits in mammalian cells, which of the following approaches should be used?
a. Each subunit can be cloned into separate vectors.
b. Each subunit can be cloned separately into the same vector.
c. Vectors containing artificial "operons" can be used.
d. All of the above approa... | d | Multiple Choice | Biology | University | 5 | [
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{
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] |
507421 | What is the present value (PV) of $50,000 received 20 years from now, assuming the interest rate is 4% per year?
a. $5,242.88
b. $10,000.00
c.. $22,819.35
d. $40,000.00 | c | Multiple Choice | Finance | University | 5 | [
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1893826 | How can I count the number of permutations of length 6, given the following constraints on the number of occurrences of each digit: '1' appears ≤ 3 times, '2' appears ≤ 2 times, '3' appears ≤ 2 times, '4' appears ≤ 1 time, and '5' appears ≤ 1 time? The answer, as verified by Python, is 3630. What is the mathematical re... | 3630 | Integer | Mathematics | University | 5 | [
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] |
207487 | Can a model that includes just money price miss relevant prices? Why or why not?
a. Yes. Such a model might ignore the possibility that the government could implement programs such as price ceilings, quantity restrictions, and taxation as ways to achieve its goals. An example is a quota that the United States imposes ... | d | Multiple Choice | Economics | University | 5 | [
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] |
1858926 | The average total cost is calculated by using which of the formulas below?
A) Average Fixed Costs + Average Variable Cost
B) Total Cost / Fixed Costs
C) Total Revenue / Total Cost
D) None of the above statements are true. | A | Multiple Choice | Economics | University | 5 | [
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241768 | For an economist, the idea of making assumptions is regarded generally as:
a. a bad idea, since doing so leads to the omission of important ideas and variables from economic models.
b. a bad idea, since doing so invariably leads to data-collection problems.
c. a good idea, since doing so helps to simplify the comple... | c | Multiple Choice | Economics | University | 5 | [
{
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{
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{
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{
"id": "1799301",
"score": 0.19582393252725544
},
{
"id": "312860",
"score": 0.17749251036504188
}
] |
1789603 | A monopoly is an inefficient way to produce a product because:
a) it can earn both short-run and long-run profits.
b) it faces a downward-sloping demand curve.
c) the cost to the monopolist of producing one more unit exceeds the value of that unit to potential buyers.
d) it produces a smaller level of output than w... | d | Multiple Choice | Economics | University | 5 | [
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"id": "847505",
"score": 0.36825550769862664
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{
"id": "1988822",
"score": 0.3666820096444801
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] |
300928 | Nike Corp. buys on 3/10, net 30 days. What is the nominal cost of interest if Nike does not take advantage of the trade discount offered? Assume a 360-day year.
a. 12.0%
b. 22.3%
c. 55.7%
d. 66.3% | c | Multiple Choice | Finance | University | 5 | [
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94535 | If a firm will use only equity funds during the current capital budgeting period then the _____ is the correct capital cost to use for computing the cost of funds for the firm.
a. cost of equity capital
b. weighted cost of funds
c. historical cost of funds
d. all of these answers are correct | a | Multiple Choice | Business | University | 5 | [
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] |
1551301 | Evaluate the {eq}\underset{x\to a}{\mathop{\lim }}\,f{{\left( x \right)}^{g\left( x \right)}}
{/eq} given that {eq}\underset{x\to a}{\mathop{\lim }}\,f\left( x \right)=0\text{ and the }\underset{x\to a}{\mathop{\lim }}\,g\left( x \right)=0
{/eq}. | 1 | Integer | Mathematics | University | 5 | [
{
"id": "993539",
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{
"id": "947398",
"score": 0.6676752027077246
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{
"id": "1314729",
"score": 0.6122131949288017
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"id": "231391",
"score": 0.5554424643081636
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{
"id": "999252",
"score": 0.5150972800297586
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] |
174851 | Suppose there is a reduction in expected future output. This will cause which of the following to occur
a. The LM curve to shift up in the current period.
b. The LM curve to shift down in the current period.
c. The IS curve to shift left in the current period.
d. The IS curve to shift right in the current period. | c | Multiple Choice | Economics | University | 5 | [
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{
"id": "1626113",
"score": 0.4352606823158235
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] |
1722830 | Suppose a Japanese firm buys a 1-year Treasury bill with a face value of $10,000 today for $9,400. If the value of the dollar declined from 90 to 80 yen during the year, what rate of return does the Japanese firm earn on its investment? | -5.44% | Percentage | Finance | University | 5 | [
{
"id": "245782",
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{
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{
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] |
419211 | The amount of output a firm can produce with a given quantity of fixed and variable inputs is called:
A) Total fixed product.
B) Average variable product.
C) Marginal product.
D) Total product. | D | Multiple Choice | Economics | University | 5 | [
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2004561 | Suppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 12 percent, and that the maximum allowable payback and discounted payback statistic for the project are 2 and 3 years, respectively.
Time 0 1 2 3 4 5 6
Cash Flow ... | D | Multiple Choice | Finance | University | 5 | [
{
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{
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] |
723974 | A realtor wishes to know what proportion of household occupants in the region own their home (as opposed to rent) within 0.07 at the 5% level of significance. How big a sample must be collected, if the true proportion is known to be at least 0.6? | 189 | Integer | Mathematics | University | 5 | [
{
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49957 | Which of the following circumstances created a future taxable amount?
a. Service fees collected in advance from customers: taxable when received, recognized for financial reporting when earned.
b. Accrued compensation costs for future payments.
c. Straight-line depreciation for financial reporting and accelerated de... | c | Multiple Choice | Business | University | 5 | [
{
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{
"id": "326215",
"score": 0.27044901443333025
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{
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] |
958955 | I like to show that $\lim_{n \rightarrow \infty} n^k x^n =0$ if $\vert x \vert <1$ for $k,n \in \mathbb{N}$ and $x \in \mathbb{C}$. I need a hint to go further. | 0 | Integer | Mathematics | University | 5 | [
{
"id": "174580",
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{
"id": "1065635",
"score": 0.6514125277538095
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{
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{
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"score": 0.4547974447044716
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{
"id": "1189203",
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] |
727461 | The time necessary to put a desired policy into effect once economists and policymakers acknowledge that the economy is in an expansion or a recession is called a(n):
a. administrative lag
b. recognition lag
c. implementation lag | c | Multiple Choice | Economics | University | 5 | [
{
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{
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{
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] |
1040207 | Calculate the integral of f(x,y) = |16xy| over the region x^2 + y^2\leq81 by changing to polar coordinates. | 52488 | Integer | Mathematics | University | 5 | [
{
"id": "1206385",
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{
"id": "515105",
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{
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"id": "87782",
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{
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"score": 0.2965632383420309
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] |
555771 | Warnes Motors' stock is trading at $20 a share. Three-month call options with an exercise price of $20 have a price of $1.50.
Which of the following will occur if the stock price increases 10% to $22 a share?
a. The price of the call option will increase by $2
b. The price of the call option will increase by less th... | b | Multiple Choice | Finance | University | 5 | [
{
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{
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1722529 | Which of the following properly describes the wealth effect that helps explain the slope of the aggregate demand curve?
A. As the money supply increases, the interest rate rises, so spending falls.
B. As the price level increases, the interest rate falls, so spending rises.
C. As the price level increases, the inter... | C | Multiple Choice | Economics | University | 5 | [
{
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] |
129845 | Use the following information to answer the question(s) below Taggart Transcontinental pays no dividends, but spent $4 billion on share repurchases last year. Taggart's equity cost of capital is 13% and if the amount spent on repurchases is expected to grow by 5% per year. Taggart currently has 2 billion shares outstan... | A | Multiple Choice | Finance | University | 5 | [
{
"id": "1638655",
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{
"id": "854964",
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{
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{
"id": "715140",
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{
"id": "1496849",
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] |
1264442 | Using a perpetual inventory system, the entry to record the return of merchandise purchased on account includes a:
a. debit to Cost of Goods Sold
b. credit to Accounts Payable
c. credit to Inventory
d.. credit to Sales | c | Multiple Choice | Business | University | 5 | [
{
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1138975 | Which one of the following is correct according to pecking-order theory?
a) There is an optimal capital structure for every firm.
b) A firm's capital structure is independent of its need for external funding.
c) Firms avoid external debt except as a last resort.
d) Firms stockpile internally generated cash. | c | Multiple Choice | Business | University | 5 | [
{
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] |
1060615 | I am looking to compute the following using Ito's formula. $$u(t,\beta_t) = \mathbb{E}(\int_t^T\beta_s^2ds|\beta_t)$$ Knowing the properties of brownian motion, it is rather easy to show that the above is equivalent to $\frac{1}{2}(T^2-t^2)$; however, i'm looking to apply Ito's formula to come up with a similar result.... | \frac{1}{2}(T^2-t^2) | Expression | Mathematics | University | 5 | [
{
"id": "6171",
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{
"id": "1771677",
"score": 0.1743522637924282
},
{
"id": "187138",
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}
] |
382466 | Imagine Andrea has purchased an equipment today for P price. After N years of service she puts it on Kijiji to be taken for free. Based on this scenario, which depreciation model shows 100% depreciation in the first year of the service life of this equipment?
a) 150% Declining Balance
b) Declining Balance
c) Double ... | e | Multiple Choice | Business | University | 5 | [
{
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{
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{
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983878 | Kingbird Company sells goods to Oriole Company during 2017. It offers Oriole the following rebates based on total sales to Oriole.
If total sales to Oriole are 9,300 units, it will grant a rebate of 2%. If it sells up to 20,600 units, it will grant a rebate of 4%. If it sells up to 32,300 units, it will grant a rebate... | $112,320 | Integer | Business | University | 5 | [
{
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{
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{
"id": "441684",
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{
"id": "1109252",
"score": 0.19957189144253495
}
] |
1419753 | Which of the following statements is correct?
a. One advantage of dividend reinvestment plans is that they enable investors to avoid paying taxes on the dividends they receive.
b. Despite its drawbacks, following the residual dividend model will tend to stabilize actual cash dividends, and this will make it easier fo... | e | Multiple Choice | Business | University | 5 | [
{
"id": "1765983",
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},
{
"id": "1758485",
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{
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{
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"score": 0.2814790524352418
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{
"id": "330632",
"score": 0.2769848080089428
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] |
1335162 | Let S be the part of the plane 2x+1y+z = 4 which lies in the first octant, oriented upward. Use Stokes' theorem to find the flux of the vector field F = 4i+3j+2k across the surface S. | 0 | Integer | Mathematics | University | 5 | [
{
"id": "151591",
"score": 0.5488522193557415
},
{
"id": "1999460",
"score": 0.31457381817947516
},
{
"id": "623020",
"score": 0.3042436151902934
},
{
"id": "2087915",
"score": 0.28712981620604133
},
{
"id": "1079275",
"score": 0.2857801434359615
}
] |
1526684 | Three economic factors have a strong bearing on strategy as it relates to where to locate disparate business functions and facilities. Which of the following is not a factor?
A) cost of medical benefits
B) availability of critical labor
C) local labor costs
D) unemployment rates | A | Multiple Choice | Economics | University | 5 | [
{
"id": "1893154",
"score": 1
},
{
"id": "1593999",
"score": 0.22820109241585168
},
{
"id": "548517",
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},
{
"id": "1974509",
"score": 0.17962282006965163
},
{
"id": "908091",
"score": 0.17941858665672947
}
] |
415645 | Which of the following statements is true?
a. The FIFO assumption is more in line with the matching principle.
b. In inflationary times, the LIFO assumption is associated with a higher reported net income.
c. The FIFO assumption is often used to reduce income tax costs.
d. The average method assumes most recent costs a... | a | Multiple Choice | Business | University | 5 | [
{
"id": "1953432",
"score": 0.34508391144918504
},
{
"id": "1678958",
"score": 0.3298503622644952
},
{
"id": "818780",
"score": 0.32660018795001017
},
{
"id": "1147497",
"score": 0.3265122136846717
},
{
"id": "2093999",
"score": 0.2820522682312189
}
] |
1538048 | Find the volume of the solid generated by revolving the region enclosed by the ellipse 4x^2 + 25y^2 = 100 about the x-axis. | 80\pi /3 | Expression | Mathematics | University | 5 | [
{
"id": "421613",
"score": 0.5921202425993183
},
{
"id": "1807198",
"score": 0.5843392019375799
},
{
"id": "635813",
"score": 0.5243248716668016
},
{
"id": "372175",
"score": 0.5129513957402556
},
{
"id": "418776",
"score": 0.4957026044438003
}
] |
504422 | Why does the remark in Wiki's proof of Warning's theorem true? If ${\displaystyle i<q-1}$ then ${\displaystyle \sum _{x\in \mathbb {F} }x^{i}=0}$ | 0 | Integer | Mathematics | University | 5 | [
{
"id": "611152",
"score": 0.3575877542202609
},
{
"id": "1644550",
"score": 0.3475861715045178
},
{
"id": "1001223",
"score": 0.29418374893366117
},
{
"id": "841583",
"score": 0.24951887662163597
},
{
"id": "301477",
"score": 0.2351415634176319
}
] |
380226 | Find an equation of the tangent plane to the parametric surface r(u, v) = u^2 i + 6u \sin v j + u \cos v k at the point where u = 2, v = 0. | x-4z+4=0 | Expression | Mathematics | University | 5 | [
{
"id": "223981",
"score": 0.64187599429509
},
{
"id": "1253449",
"score": 0.64187599429509
},
{
"id": "2046848",
"score": 0.64187599429509
},
{
"id": "1761682",
"score": 0.64187599429509
},
{
"id": "2050142",
"score": 0.6113376491568713
}
] |
717775 | Domino Sugar Company is considering buying Fisher Honey Company for $100 million. Based on information obtained from 500 supermarkets around the country, when the price of 1 lb. of Domino Sugar went on sale from $2.00 to $1.50, the average number of 1 lb. boxes of sugar rose from 200 boxes in a week to 300 boxes. The f... | a | Multiple Choice | Economics | University | 5 | [
{
"id": "1665839",
"score": 0.5435277447813323
},
{
"id": "1776694",
"score": 0.263544794875872
},
{
"id": "1280227",
"score": 0.22513957559249048
},
{
"id": "689214",
"score": 0.21940045201565972
},
{
"id": "555771",
"score": 0.19428574530083087
}
] |
1659817 | Evaluate {eq}\int \int \int_E x \; dV{/eq}, where {eq}E{/eq} is enclosed by the planes {eq}z= 0{/eq} and {eq}z= x+y + 6{/eq} and by the cylinders {eq}x^2 + y^2 = 1{/eq} and {eq}x^2 + y^2 = 9{/eq}. Use cylindrical coordinates. | 20pi | Expression | Mathematics | University | 5 | [
{
"id": "2020589",
"score": 0.8165936594803808
},
{
"id": "593117",
"score": 0.7975316815727913
},
{
"id": "971015",
"score": 0.7924518678979281
},
{
"id": "1727658",
"score": 0.7833337701855007
},
{
"id": "251509",
"score": 0.7745481917154006
}
] |
1611801 | Pigeon Inc. is currently considering an eight-year project that has an initial outlay or cost of $80,000. The future cash inflows from its project for years 1 through 8 are the same at $30,000. Pigeon has a discount rate of 13%. Because of concerns about funds being short to finance all good projects, Pigeon wants to c... | B | Multiple Choice | Finance | University | 5 | [
{
"id": "1898379",
"score": 0.33387867515847364
},
{
"id": "1202335",
"score": 0.32730841432327307
},
{
"id": "479199",
"score": 0.31852508590408934
},
{
"id": "355417",
"score": 0.3146483893904735
},
{
"id": "24713",
"score": 0.305210838410508
}
] |
938858 | Suppose there are 1000 railroad ties per mile of track. On a certain railroad line, the probability that any tie is bad is 0.1. The appropriate theoretical distribution to estimate the probability of 20 or more bad ties in a quarter mile is:
a. the binomial.
b. the Poisson.
c. the hypergeometric.
d. the discrete un... | a | Multiple Choice | Mathematics | University | 5 | [
{
"id": "2010149",
"score": 0.2434225524825826
},
{
"id": "489046",
"score": 0.23368250013628028
},
{
"id": "1578054",
"score": 0.1902803285769799
},
{
"id": "263206",
"score": 0.18126747658892525
},
{
"id": "951191",
"score": 0.17910299898827053
}
] |
1190756 | Hoding all other factors constant, an appreciation of the US $ versus all other countries' currencies will
A. decrease the price of imports into the US thereby lowering inflation in the US
B. increase the price of exports into the US causing exports to decrease and thereby weakening the US economy
C. increase the am... | D | Multiple Choice | Economics | University | 5 | [
{
"id": "1956895",
"score": 0.4628763736709481
},
{
"id": "202585",
"score": 0.4628763736709481
},
{
"id": "583120",
"score": 0.44425088108523014
},
{
"id": "789151",
"score": 0.3603635985886918
},
{
"id": "1547506",
"score": 0.357071881278562
}
] |
510378 | An increase in which of the following variables should cause an increase in profit per unit of capital?
a. Total sales
b. Total wages and salaries
c. The ratio of total sales to total wages and salaries
d. The ratio of total sales to the capital stock
e. The capital stock | d | Multiple Choice | Economics | University | 5 | [
{
"id": "1894993",
"score": 0.422294178742995
},
{
"id": "1789144",
"score": 0.40533573710182175
},
{
"id": "931782",
"score": 0.3757233584940015
},
{
"id": "1207251",
"score": 0.3487214348396793
},
{
"id": "220697",
"score": 0.3049037634167182
}
] |
1394931 | Jessup Company expects to incur overhead costs of $20,000 per month and direct production costs of $125 per unit. The estimated production activity for the upcoming year is 1,000 units. If the company desires to earn a gross profit of $50 per unit, the sales price per unit would be which of the following amounts?
a. $... | c | Multiple Choice | Business | University | 5 | [
{
"id": "1109252",
"score": 0.3806770991415132
},
{
"id": "1130694",
"score": 0.3725510928716593
},
{
"id": "1983417",
"score": 0.3626881460004937
},
{
"id": "1518760",
"score": 0.35332033961723
},
{
"id": "1232021",
"score": 0.35209747227443844
}
] |
1765296 | As of December 31, 2013, Warner Corporation reported the following:
Dividends payable 32,000
Treasury stock 570,000
Paid-in capital share repurchase 32,000
Other paid-in capital accounts 5,200,000
Retained earnings 4,200,000
During 2014, half of the treasury stock was resold for $250,000; net income was $570,000; cas... | b | Multiple Choice | Business | University | 5 | [
{
"id": "2079051",
"score": 0.7211724221500516
},
{
"id": "751396",
"score": 0.715590601165814
},
{
"id": "2097696",
"score": 0.5850805729896017
},
{
"id": "1315231",
"score": 0.5704062549391035
},
{
"id": "314437",
"score": 0.5414176391693647
}
] |
1548298 | Calculate the flux of the vector field F(x,y,z) = 3i+4j+8k through a square of side length 5 lying in the plane 2x+2y+4z=1 oriented from the origin. | 575\sqrt{6}/6 | Expression | Mathematics | University | 5 | [
{
"id": "205343",
"score": 1.0000000000000004
},
{
"id": "623020",
"score": 0.43430864047456214
},
{
"id": "1448218",
"score": 0.3649313783688268
},
{
"id": "1904189",
"score": 0.2718969476484796
},
{
"id": "1407301",
"score": 0.26915050773862315
}
] |
537246 | Evaluate the integral \(\displaystyle \int_{-2}^2 \int_1^2 \int_1^e \frac {xy^2}{z} \ dz \ dx \ dy\) | 8 | Integer | Mathematics | University | 5 | [
{
"id": "607406",
"score": 0.6396316584277857
},
{
"id": "561632",
"score": 0.6096909688780213
},
{
"id": "644631",
"score": 0.5496700261089613
},
{
"id": "1686474",
"score": 0.5321843296630218
},
{
"id": "1737252",
"score": 0.505482922791358
}
] |
1739942 | The entry to amortize a bond premium would include a:
a. debit to Premium on Bonds Payable.
b. credit to Premium on Bonds Payable.
c. debit to interest expense.
d. all of these choices are correct. | a | Multiple Choice | Business | University | 5 | [
{
"id": "197480",
"score": 0.8229029208373999
},
{
"id": "658215",
"score": 0.5371661411410616
},
{
"id": "202996",
"score": 0.5175171920654245
},
{
"id": "233600",
"score": 0.45473072348326327
},
{
"id": "1033876",
"score": 0.447130027932081
}
] |
1434870 | Show the average value of {eq}\displaystyle \int_{0}^{e-1} 2x \ \ln(1+x) \ dx is {eq}\displaystyle \frac{1}{2}(e-1)^2+e-2{/eq}. | \frac{1}{2}(e-1)^2+e-2 | Expression | Mathematics | University | 5 | [
{
"id": "301477",
"score": 0.7553270465087019
},
{
"id": "194086",
"score": 0.7396043893746953
},
{
"id": "1353076",
"score": 0.6931831705403726
},
{
"id": "218318",
"score": 0.6825785286405945
},
{
"id": "1137226",
"score": 0.6700803976185719
}
] |
1299773 | For a population with u = 60, which of the following values for the population standard deviation would cause X = 68 to have the most extreme position in the distribution?
(A) 4
(B) 3
(C) 2
(D) 1 | D | Multiple Choice | Mathematics | University | 5 | [
{
"id": "2030156",
"score": 0.5036173439068062
},
{
"id": "387762",
"score": 0.40672563050648003
},
{
"id": "353533",
"score": 0.35779149901620755
},
{
"id": "641432",
"score": 0.33616325528711094
},
{
"id": "1022032",
"score": 0.31190422724646205
}
] |
877410 | Calculate {eq}\; \iiint_{E} \, yz \, \mathrm{d}V, where {eq}E is the region above {eq}z = 0, below {eq}z = y, and inside {eq}x^2 + y^2 = 4. | 0 | Integer | Mathematics | University | 5 | [
{
"id": "55830",
"score": 0.7673763073393286
},
{
"id": "1946946",
"score": 0.7200634086500999
},
{
"id": "1247424",
"score": 0.7022825077086574
},
{
"id": "1845267",
"score": 0.6768798401317935
},
{
"id": "2020589",
"score": 0.6585842955942997
}
] |
933656 | How can I show by using only Burnside's lemma that there are 9099 ways to color a dodecahedron by three colors? | 9099 | Integer | Mathematics | University | 5 | [
{
"id": "846092",
"score": 0.26009499408469366
},
{
"id": "160337",
"score": 0.19471686421751166
},
{
"id": "1416266",
"score": 0.15039712263184582
},
{
"id": "423019",
"score": 0.13456189332687848
},
{
"id": "963986",
"score": 0.12439581741752914
}
] |
386928 | Determine the derivative: {eq}\displaystyle \frac{d}{dx} \int_{x}^{a} \sin (\ln (t) ) \ dt {/eq}. | -sin(ln(x)) | Expression | Mathematics | University | 5 | [
{
"id": "704564",
"score": 0.8509255907787764
},
{
"id": "1669399",
"score": 0.7926816974446331
},
{
"id": "1024096",
"score": 0.7350734315877877
},
{
"id": "992799",
"score": 0.6685186167377343
},
{
"id": "1434870",
"score": 0.6549062064768137
}
] |
18350 | When hiring employees, John generally makes a job offer to the first person who meets the basic selection criteria. John is _____.
a. satisficing
b. optimizing
c. making a premature evaluation
d. All of the above. | a | Multiple Choice | Business | University | 5 | [
{
"id": "2107291",
"score": 0.1913609239485463
},
{
"id": "360587",
"score": 0.1872769493083335
},
{
"id": "1572928",
"score": 0.17430621727527504
},
{
"id": "1817842",
"score": 0.16628837564613885
},
{
"id": "1952353",
"score": 0.15655940989827266
}
] |
462249 | Find the volume of the region bounded above by {eq}z = 3x + 5y{/eq}, below by {eq}z = x + y{/eq}, and lying over the region {eq}D = [0, 3] \times [0, 2]{/eq}. | 42 | Integer | Mathematics | University | 5 | [
{
"id": "1052524",
"score": 0.7554530875133558
},
{
"id": "251509",
"score": 0.7199738710497199
},
{
"id": "1121826",
"score": 0.684019450129153
},
{
"id": "1646509",
"score": 0.6836840370582691
},
{
"id": "55830",
"score": 0.6809177910882623
}
] |
857894 | A company's old machine that cost $56,000 and had accumulated depreciation of $44,400 was traded in on a new machine having an estimated 20-year life with an invoice price of $67,600. The company also paid $57,400 cash, along with its old machine to acquire the new machine. If this transaction has commercial substance,... | C | Multiple Choice | Business | University | 5 | [
{
"id": "498865",
"score": 0.5008736693496322
},
{
"id": "823951",
"score": 0.47624035024187683
},
{
"id": "780950",
"score": 0.47403978870786223
},
{
"id": "2097740",
"score": 0.4684104641991643
},
{
"id": "1739804",
"score": 0.4467211993405351
}
] |
1012533 | Suppose that there are no excess reserves in the banking system and the current amount of demand deposits is $100,000. If the monetary authorities increase the required reserve ratio from 5% to 10%:
A) the amount of excess reserves in the banking system will fall.
B) the amount of excess reserves in the banking syste... | C | Multiple Choice | Economics | University | 5 | [
{
"id": "1936153",
"score": 0.6196210501210802
},
{
"id": "538285",
"score": 0.46189881023801316
},
{
"id": "761797",
"score": 0.449734540397973
},
{
"id": "822545",
"score": 0.36121170116021317
},
{
"id": "1347500",
"score": 0.3539524951033769
}
] |
1801739 | If the MARR is 15% per year what is the better option and why?
a. Keep car, do not buy new one because EUAC Defender is $5111 and EUAC of Challenger is $6104
b. Buy new car because EUAC of challenger is $4904 and EUAC and defender is $5111
c. Buy new car because EUAC of Challenger is -$9308 and EUAC of defender is $49... | a | Multiple Choice | Mathematics | University | 5 | [
{
"id": "998158",
"score": 0.41091280491739846
},
{
"id": "1017143",
"score": 0.17516415786850673
},
{
"id": "582846",
"score": 0.14341750330231132
},
{
"id": "212148",
"score": 0.13193912534358274
},
{
"id": "1635504",
"score": 0.13020014033024066
}
] |
40845 | Rising star Corporation currently has 136,000 shares outstanding of $2 par value common stock. The stock was originally issued for $17 per share. On March 15, the board of directors declares an 11% stock dividend when the stock is selling for $24 per share.
Which of the following is the correct journal entry to record... | B | Multiple Choice | Business | University | 5 | [
{
"id": "1409738",
"score": 0.5636226373380899
},
{
"id": "560971",
"score": 0.5323453198446979
},
{
"id": "988121",
"score": 0.5257501400526183
},
{
"id": "475677",
"score": 0.4634018142084238
},
{
"id": "272791",
"score": 0.45662168208142295
}
] |
603840 | Does there exist a proof for $$ \int_0^1 \frac{\mathrm{d}x}{1-\lfloor \log_2(1-x)\rfloor} = 2 \log 2 - 1 $$? | 2log2 - 1 | Expression | Mathematics | University | 5 | [
{
"id": "346502",
"score": 0.5087309173071873
},
{
"id": "1002770",
"score": 0.40645935767641517
},
{
"id": "1554580",
"score": 0.3546794867225571
},
{
"id": "1054379",
"score": 0.34651318636084605
},
{
"id": "629241",
"score": 0.3346360462415549
}
] |
1248608 | A given rate is quoted as 12% APR and has an EAR of 12.68%. What is the compounding frequency during the year? | 12 | Integer | Finance | University | 5 | [
{
"id": "390482",
"score": 0.4877975997248366
},
{
"id": "591307",
"score": 0.3900798995274552
},
{
"id": "1982474",
"score": 0.3451102019767248
},
{
"id": "186233",
"score": 0.330659719185901
},
{
"id": "1004862",
"score": 0.31718010620087833
}
] |
1148138 | Why is my application of L'Hopital's rule on the limit $$\lim_{x \rightarrow +\infty} \frac{[\int^x_0 e^{y^2}\mathrm{d}y]^2}{\int^x_0 e^{2y^2}\mathrm{d}y}$$ incorrect, given that I obtained a limit of 2, but the correct answer is 0? My steps included finding the derivatives $\frac{\mathrm{d} }{\mathrm{d} x}[\int^x_0 e^... | 0 | Integer | Mathematics | University | 5 | [
{
"id": "44381",
"score": 0.5663431085824382
},
{
"id": "1226447",
"score": 0.5244967525599279
},
{
"id": "688217",
"score": 0.5213325851173339
},
{
"id": "1554966",
"score": 0.511037793719656
},
{
"id": "786419",
"score": 0.5008284030538763
}
] |
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