id string | problem string | answer string | answer_type string | category string | difficulty string | eval_score int64 | similar_problems list |
|---|---|---|---|---|---|---|---|
1250771 | Due to the partial crossing of visual information at the optic chiasm, the _____ visual field projects to the right hemisphere, while the ______ visual field projects to the left hemisphere.
a. right; leftb. left; rightc. right; rightd. left; left | b | Multiple Choice | Biology | University | 6 | [
{
"id": "1126678",
"score": 0.40881836235359315
},
{
"id": "999252",
"score": 0.40675072769569626
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{
"id": "285462",
"score": 0.3950308782806477
},
{
"id": "884385",
"score": 0.37561405325061803
},
{
"id": "1032029",
"score": 0.3720866114956439
}
] |
736813 | Which of the following statements regarding monetization is false?
a. The amount of income the government derives from monetization is measured by the resulting increase in the monetary base.
b. If used without limit, monetization provides absolute protection against equitable insolvency.
c. In current times, issuin... | b | Multiple Choice | Economics | University | 6 | [
{
"id": "83086",
"score": 0.16454565168675758
},
{
"id": "730980",
"score": 0.1534220215630634
},
{
"id": "1157950",
"score": 0.1534220215630634
},
{
"id": "746522",
"score": 0.14151185143193534
},
{
"id": "1401506",
"score": 0.14151185143193534
}
] |
9433 | The following data is available for Blaine Corporation at December 31, 2013.
Common stock, par $10 (authorized 25,000 shares) = $200,000
Treasury stock (at cost $15 per share) = $500
Based on the data, how many shares of common stock are outstanding?
a. 25,000
b. 20,000
c. 24,940
d. 19,940 | d | Multiple Choice | Business | University | 6 | [
{
"id": "880392",
"score": 0.5721609357159421
},
{
"id": "1446711",
"score": 0.4817980769122687
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{
"id": "1174738",
"score": 0.4800710008240078
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{
"id": "1193634",
"score": 0.4752847000437565
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{
"id": "1013954",
"score": 0.46894636800604583
}
] |
1073314 | Suppose that Apple and the investors buying the firm's bonds both expect a 4% inflation rate for the year. Further, suppose the nominal interest rate on bonds is 8% and the expected real interest rate is 4%. Now suppose that a year after the investors purchase the bonds, the inflation rate turns out to be 3%, rather th... | a | Multiple Choice | Economics | University | 6 | [
{
"id": "837502",
"score": 0.2627205714625829
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{
"id": "1024699",
"score": 0.2603228215446197
},
{
"id": "512344",
"score": 0.25102650325170955
},
{
"id": "1915320",
"score": 0.2410608131535485
},
{
"id": "1215623",
"score": 0.2389017876621244
}
] |
1797179 | A normal population has a mean of 60 and a standard deviation of 3. You select a sample of 36. Compute the probability that the sample mean is less than 59. | 0.0228 | Float | Mathematics | University | 6 | [
{
"id": "1048077",
"score": 0.8788975843822677
},
{
"id": "1201801",
"score": 0.6742959563697715
},
{
"id": "136955",
"score": 0.6021971809069409
},
{
"id": "388102",
"score": 0.595756078897224
},
{
"id": "1790439",
"score": 0.5776942768504316
}
] |
141977 | What is the maximum loan that Federal Second Bank can make and meet the 10% reserve requirement if the Reserves are $2,500, Loans are $15,000, Securities are $5,000, Deposits are $21,000, but with a debt of $1,000?
a) $500b) $2,500c) $400d) $0e) $21,000 | c | Multiple Choice | Economics | University | 6 | [
{
"id": "1549548",
"score": 0.42938141369223237
},
{
"id": "176137",
"score": 0.33933255657816824
},
{
"id": "1969933",
"score": 0.3305945942736778
},
{
"id": "629281",
"score": 0.3277987440459645
},
{
"id": "1400324",
"score": 0.32492693423758306
}
] |
1938746 | The differential approach is often considered superior to the total project approach to capital budgeting:
a) because it can more easily accommodate multiple investment opportunities
b) because it is faster when analyzing fewer than three alternatives
c) for all large investment decisions
d) because it uses net cas... | a | Multiple Choice | Business | University | 6 | [
{
"id": "440172",
"score": 0.2954484434377252
},
{
"id": "1058184",
"score": 0.2484616449715917
},
{
"id": "2108948",
"score": 0.22855994485068265
},
{
"id": "1406001",
"score": 0.21338653860203433
},
{
"id": "1021128",
"score": 0.2119120653978826
}
] |
771160 | How to show $i^{-1} = -i$? | -i | Expression | Mathematics | University | 6 | [
{
"id": "568640",
"score": 0
},
{
"id": "1189531",
"score": 0
},
{
"id": "919652",
"score": 0
},
{
"id": "886023",
"score": 0
},
{
"id": "1773723",
"score": 0
}
] |
774362 | What happens to a firm that reinvests its earnings at a rate equal to the firm's required return?
a) Its stock price will remain constant.
b) Its stock price will increase by the sustainable growth rate.
c) Its stock price will decline unless the dividend payout ratio is zero.
d) Its stock price will decline unless... | a | Multiple Choice | Finance | University | 6 | [
{
"id": "1449020",
"score": 0.9505731112773316
},
{
"id": "537368",
"score": 0.47265905700090427
},
{
"id": "1932118",
"score": 0.37972090237362677
},
{
"id": "722013",
"score": 0.3769237488399047
},
{
"id": "1372993",
"score": 0.36982348752514493
}
] |
1795491 | The income statement of Guesser Company is shown below.
GUESSER COMPANY
INCOME STATEMENT FOR THE YEAR ENDED DECEMBER 31, 2014
Sales $755,000
Cost of goods sold $543,000
Gross profit $212,000
Operating expenses :
Selling expenses $52,000
Administrative expenses $89,000 $141,000
Net income $ 71,0... | 135,000 | Integer | Business | University | 6 | [
{
"id": "902084",
"score": 0.7187376601838864
},
{
"id": "1612266",
"score": 0.711378567900015
},
{
"id": "101002",
"score": 0.6796877627782232
},
{
"id": "461047",
"score": 0.5731372580410059
},
{
"id": "2097696",
"score": 0.5719980546109257
}
] |
825558 | Hinck Corporation reported net cash provided by operating activities of $380,900 , net cash used by investing activities of $146,400 ( including cash spent for capital assets of $205,500), and net cash provided by financing activities of $77,600. Dividends of $129,400 were paid.
Calculate free cash flow. | $175,400 | Integer | Business | University | 6 | [
{
"id": "1853646",
"score": 0.7777317060781551
},
{
"id": "284565",
"score": 0.5454081843826943
},
{
"id": "178068",
"score": 0.5242380041921679
},
{
"id": "215525",
"score": 0.5191247486784968
},
{
"id": "623051",
"score": 0.46516670257541937
}
] |
1361872 | What is the sum of the sign of a permutation, i.e. $$ \sum_{\pi \in S_n} \text{sgn}(\pi), $$ where $\pi$ is the permutation of $S_n$? | 0 | Integer | Mathematics | University | 6 | [
{
"id": "751691",
"score": 0.4232689892236198
},
{
"id": "944873",
"score": 0.3994055416947188
},
{
"id": "2029954",
"score": 0.3878021450585954
},
{
"id": "277770",
"score": 0.3545178416141619
},
{
"id": "1915935",
"score": 0.34763042205171957
}
] |
7101 | Extraordinary Repairs:
a) extend the useful life of an asset beyond its usual estimate
b) are revenue expenditures
c) are credited to accumulated depreciation
d) are expensed when incurred
e) are additional costs of plants assets that do not materially increase the assets life. | a | Multiple Choice | Business | University | 6 | [
{
"id": "1645800",
"score": 0.8377040582311711
},
{
"id": "1804663",
"score": 0.21134026687796587
},
{
"id": "235645",
"score": 0.21016039941071013
},
{
"id": "2004771",
"score": 0.20807975735072043
},
{
"id": "1944430",
"score": 0.1999348132242967
}
] |
1483293 | The sales forecast is a portion of the sales potential which is:
a. larger than the market potential for the industry.
b. larger than the market potential for a product category.
c. a portion of the market potential for a product category.
d. a portion of the market potential for the industry. | c | Multiple Choice | Business | University | 6 | [
{
"id": "574043",
"score": 0.338432017487609
},
{
"id": "480952",
"score": 0.3071929621985787
},
{
"id": "1072903",
"score": 0.3031261711836084
},
{
"id": "128425",
"score": 0.2650920206331385
},
{
"id": "838653",
"score": 0.2613565237089562
}
] |
1626422 | $$\lim_{(x,y)\to(1,1)} \dfrac{(x-y)(x+y-2)}{\sqrt{(x-1)^2+(y-1)^2}}$$ What do I need to do to? | 0 | Integer | Mathematics | University | 6 | [
{
"id": "1013068",
"score": 0.5771966557505783
},
{
"id": "834846",
"score": 0.48335562302638957
},
{
"id": "1374943",
"score": 0.45054821313925303
},
{
"id": "1588802",
"score": 0.44746809203893967
},
{
"id": "1805106",
"score": 0.42988865120531616
}
] |
1869001 | How do you prove the identity $$ \sum_{i = 0}^{\infty}\left[\sum_{j=0}^{i}\left[\frac{(-1)^j}{j!} \right] \prod_{j=0}^{i}\left[ (x-j)\right] \right] = x! $$ for positive integers $x$ in an elementary setting? | x! | Expression | Mathematics | University | 6 | [
{
"id": "999252",
"score": 0.6249022381534143
},
{
"id": "282269",
"score": 0.6227255538368591
},
{
"id": "1126678",
"score": 0.6017541699882791
},
{
"id": "1863509",
"score": 0.5783407349987887
},
{
"id": "1126260",
"score": 0.5779428520237249
}
] |
864768 | Find all points at which the direction of fastest change of the function {eq}f(x, y) = x^2 + y^2 - 6x - 8y{/eq} is {eq}i + j{/eq}. | (7/2, 9/2) | Expression | Mathematics | University | 6 | [
{
"id": "2020589",
"score": 0.5663826203728519
},
{
"id": "165177",
"score": 0.5352845208273991
},
{
"id": "1938038",
"score": 0.5334152996312974
},
{
"id": "80418",
"score": 0.5230343392501897
},
{
"id": "1727658",
"score": 0.5222326164620115
}
] |
1256770 | Anderson Enterprises is a U.S. firm that manufactures light fixtures for commercial and residential consumers. Anderson is looking to expand internationally, so the firm should most likely _____.
A) focus on developing new recruitment strategies and selection tests
B) change their organizational structure to fit the n... | B | Multiple Choice | Business | University | 6 | [
{
"id": "1256770",
"score": 1
},
{
"id": "689997",
"score": 0.17901937933074505
},
{
"id": "774904",
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},
{
"id": "1313180",
"score": 0.1430990882895589
},
{
"id": "1340080",
"score": 0.14062259164978191
}
] |
1281706 | Which of these does NOT generate an externality?
a. A manufacturer buys a pollution permit and then emits carbon as a waste product.
b. A manufacturer dumps waste in a nearby river.
c. A smoker has a cigarette in a crowded restaurant.
d. An R&D firm receives a patent on life-saving cancer treatments. | d | Multiple Choice | Economics | University | 6 | [
{
"id": "110380",
"score": 0.16345301204222137
},
{
"id": "421910",
"score": 0.16008950049076648
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{
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"score": 0.1489677744277438
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{
"id": "1100397",
"score": 0.14818681724451346
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{
"id": "1706046",
"score": 0.13954369115923304
}
] |
766321 | Bonneville Company is producing a subassembly used in the production of a product. The costs incurred for the subassembly follow:
Per Unit
Direct materials $6.00
Direct labor 4.00
Variable factory overhead 1.00
Fixed supervisor salary 3.00
Depreciation expense on factory equipment 2.00
General fixed factory overhead... | C | Multiple Choice | Business | University | 6 | [
{
"id": "1923788",
"score": 0.8699391105875642
},
{
"id": "232370",
"score": 0.43182722116974215
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{
"id": "1368073",
"score": 0.3582049803126574
},
{
"id": "885853",
"score": 0.32750964931290405
},
{
"id": "131351",
"score": 0.32105267247106656
}
] |
1418233 | While hiring a new worker, a firm will pay a little higher wage than the prevailing market rate if:
a. the expected marginal revenue is positive.
b. the market demand for a new worker is low.
c. the labor market is less competitive.
d. the supply of workers is very high. | a | Multiple Choice | Economics | University | 6 | [
{
"id": "1813803",
"score": 0.973930814474821
},
{
"id": "1118770",
"score": 0.3622293160631109
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{
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{
"id": "23505",
"score": 0.30985180851121014
},
{
"id": "819162",
"score": 0.307094784137705
}
] |
805570 | Income Statement
Debit
Credit
Service Revenue
3,000
Wages Expense
600
Rent Expense
300
900
3,000
Net Income:
2,100
Other selected information:
Retained Earnings 12/31/13- $27,000
Com... | c | Multiple Choice | Business | University | 6 | [
{
"id": "1799848",
"score": 0.5521113372734779
},
{
"id": "1507215",
"score": 0.5255153239399631
},
{
"id": "834937",
"score": 0.49336126020174387
},
{
"id": "851965",
"score": 0.4549756587961475
},
{
"id": "1592337",
"score": 0.45330089529919504
}
] |
1261490 | A consignor included merchandise in the hands of the consignee in ending inventory.
a. Net income for the current year will be overstated.
b. Net income for the current year will be understated.
c. Net income for the current year will not be affected.
d. None of the above | a | Multiple Choice | Business | University | 6 | [
{
"id": "365092",
"score": 0.8450426715731516
},
{
"id": "12939",
"score": 0.4007592973420465
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{
"id": "1035956",
"score": 0.3644172620295569
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{
"id": "1176143",
"score": 0.34810639762475426
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{
"id": "1550639",
"score": 0.34167216890272
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] |
1765151 | A well-diversified portfolio has negligible:
A. expected return.
B. systematic risk.
C. unsystematic risk.
D. variance.
E. Both unsystematic risk; and variance | C | Multiple Choice | Business | University | 6 | [
{
"id": "39287",
"score": 0.396115842365087
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{
"id": "785070",
"score": 0.35171189629959465
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{
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"score": 0.3332369114212368
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{
"id": "1831225",
"score": 0.3002283051896649
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{
"id": "503416",
"score": 0.2995432930621049
}
] |
889728 | The AE curve:
a. indicates that (the quantity of) output rises as the real interest rate falls
b. is derived from the long run AD-AS graph
c. is drawn for a given discount rate and level of output
d. is derived from the short run AEPC graph | d | Multiple Choice | Economics | University | 6 | [
{
"id": "847505",
"score": 0.39974988110970117
},
{
"id": "214168",
"score": 0.3937900971647823
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{
"id": "1822104",
"score": 0.3523177995913385
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{
"id": "853447",
"score": 0.34472529327992024
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{
"id": "1037587",
"score": 0.33391986587025113
}
] |
973291 | 1. What is the effect of a contract when one party to the contract has made a
mistake?
A. The contract is valid unless the party can show to the court that the mistake
was not due to his own lack of care
B. The contract is void as the party did not make the contract willingly
C. The contract is void as it is unfair ... | D | Multiple Choice | Law | University | 6 | [
{
"id": "569720",
"score": 0.4307571339170478
},
{
"id": "102774",
"score": 0.24056508966586662
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{
"id": "1654842",
"score": 0.23664605837533062
},
{
"id": "1319",
"score": 0.23522959324663184
},
{
"id": "623593",
"score": 0.2238242951562273
}
] |
1204472 | Which would be an example of perfect price discrimination?
a. When movies charge different price discrimination?
b. When airlines charge different prices for seats on the same flight
c. When doctors charge rich and poor patients' different prices for the same medical services
d. None of the choices are an example o... | d | Multiple Choice | Economics | University | 6 | [
{
"id": "2090884",
"score": 0.35336253146568275
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{
"id": "40862",
"score": 0.29630374639985824
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{
"id": "711635",
"score": 0.28264457115499064
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{
"id": "1068152",
"score": 0.28264457115499064
},
{
"id": "153390",
"score": 0.24429708101076325
}
] |
1688788 | There are 250 dogs at a dog show who weighs an average of 12 pounds, with a deviation of 8 pounds. If 4 dogs are chosen at random, what is the probability that they have an average weight of greater than 8 pounds and less than 25 pounds? | 0.8407 | Float | Mathematics | University | 6 | [
{
"id": "2012149",
"score": 0.4690571532222395
},
{
"id": "352003",
"score": 0.4433586305329968
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{
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"score": 0.39420140893670547
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{
"id": "1809516",
"score": 0.38500729971918446
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{
"id": "838646",
"score": 0.37754124571137826
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] |
1068152 | Which of the following statements is not correct?
A. First-degree price discrimination works to increase a firm's profits by converting consumer surplus into revenue for the firm, while third-degree price discrimination increases a firm's profits by more accurately assessing the willingness to pay of different groups ... | C | Multiple Choice | Economics | University | 6 | [
{
"id": "711635",
"score": 1.0000000000000002
},
{
"id": "40862",
"score": 0.5678150480686314
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{
"id": "319530",
"score": 0.43081317103029126
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{
"id": "2090884",
"score": 0.39208095992169323
},
{
"id": "744232",
"score": 0.3180328414396117
}
] |
879423 | Globalization has depressed wages in western industrialized countries, particularly those for
A) highly skilled workers.
B) highly educated workers.
C) semi-skilled workers.
D) low skilled workers. | D | Multiple Choice | Economics | University | 6 | [
{
"id": "1641373",
"score": 0.2868407365063481
},
{
"id": "1834255",
"score": 0.2816566358997131
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{
"id": "385333",
"score": 0.2739516331089894
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{
"id": "635140",
"score": 0.2670974228277168
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{
"id": "1605854",
"score": 0.2591844820738047
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] |
389817 | Which of the following are bank assets?
A) the building owned by the bank.
B) a discount loan.
C) a negotiable CD.
D) a customer's checking account | A | Multiple Choice | Economics | University | 6 | [
{
"id": "323599",
"score": 0.3925144313055802
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{
"id": "601212",
"score": 0.33886079396199503
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{
"id": "440130",
"score": 0.28378734437948483
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{
"id": "346525",
"score": 0.2687385359067489
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] |
1937224 | Use Lagrange Multipliers to find the maximum and minimum values of the function subject to the given constraints: f(x,y,z)=x^2+y^2+z^2; x+y+z=12 | 48 | Integer | Mathematics | University | 6 | [
{
"id": "1992277",
"score": 0.6958346187997593
},
{
"id": "1860088",
"score": 0.6270633313771924
},
{
"id": "110706",
"score": 0.6174579363939366
},
{
"id": "859408",
"score": 0.5515667822770004
},
{
"id": "1662567",
"score": 0.5218451475641012
}
] |
954331 | I need to use the definition of convergence to prove that the sequence $$ a_n=\sqrt{(n^2+n)}-\sqrt{(n^2-n)}$$ converges. I know it converges to 1, so I start with $$(\forall\epsilon>0)(\exists N \in \Bbb N)(\forall n >N) |a_n-1|<\epsilon$$ $$|\sqrt{n^2+n}-\sqrt{n^2-n}-1|$$ I tried multiplying with $$\frac{\sqrt{n^2+n}+... | 1 | Integer | Mathematics | University | 6 | [
{
"id": "453365",
"score": 0.617421423997788
},
{
"id": "1635922",
"score": 0.6155137710871406
},
{
"id": "37240",
"score": 0.5836746571235666
},
{
"id": "310868",
"score": 0.5829348417480916
},
{
"id": "1536938",
"score": 0.5781297679451382
}
] |
1803185 | Use a double integral to find the volume of the solid bounded by y = x, y = 4, and z = 8 - x - y. | 32 | Integer | Mathematics | University | 6 | [
{
"id": "1646045",
"score": 0.6346880536556094
},
{
"id": "1763764",
"score": 0.5829634012158028
},
{
"id": "880180",
"score": 0.5693086990333642
},
{
"id": "345979",
"score": 0.545660630268961
},
{
"id": "1915301",
"score": 0.5166912379615003
}
] |
1084077 | The systematic examination and interpretation of a data set to identify patterns, biases, themes, and/or meanings is called:
a. coding
b. content analysis
c. analytic induction
d. all of the above | b | Multiple Choice | Computer Science | University | 6 | [
{
"id": "2079753",
"score": 0.1568301573889766
},
{
"id": "660203",
"score": 0.15643700118957737
},
{
"id": "437528",
"score": 0.1388554420970114
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{
"id": "2240",
"score": 0.13584358968214172
},
{
"id": "643892",
"score": 0.13015824158362208
}
] |
470179 | A cellphone provided has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 135 of the su... | A | Multiple Choice | Mathematics | University | 6 | [
{
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186411 | The monopoly's supply curve:
a) shows how quantity supplied rises as price rises
b) is found at the point of intersection of the MR and MC curves
c) is a single point on its demand curve
d) is accurately described by none of the listed options
e) looks the same as that for a perfectly competitive firm, though the... | d | Multiple Choice | Economics | University | 6 | [
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489456 | When an electromagnetic wave falls on a white, perfectly reflectingsurface, it exerts a force F on that surface. If the surfaceis now painted a perfectly absorbing black, the force that the samewave would exert on the surface is:___________.
A) F
B) F/2
C) F/4
D) 2F
E) 4F | B | Multiple Choice | Physics | University | 6 | [
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] |
1556797 | Using a plant-wide overhead rate based on machine hours to assign manufacturing overhead to a product line that uses relatively low machine hours is likely to:
A. Overapply overhead to the product line.
B. Underapply overhead to the product line.
C. Understate direct labor costs.
D. Overstate direct labor costs.
E... | B | Multiple Choice | Business | University | 6 | [
{
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{
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] |
1832722 | The strategic decisions associated with the organization are the choice of a system and the choice of the type of system needed for which system type?
A) Marketing
B) Human resources
C) Information
D) Financial-accounting
E) None of the answer choices is correct. | C | Multiple Choice | Business | University | 6 | [
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1508649 | Pixies Inc. pays its rent of $54,000 annually on January 1. If the February 28 monthly adjusting entry for prepaid rent is omitted, which of the following will be true?
Select one:
A. Assets will be overstated by $9,000 and net income and stockholders' equity will be understated by $9,000.
B. Assets will be overstat... | B | Multiple Choice | Business | University | 6 | [
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1277780 | Project K cost $60,000, its expected cash inflows are $14,000 per year for 9 years, and its WACC is 14%. What is the project payback? Round your answer to 2 decimal places. | 4.29 | Float | Finance | University | 6 | [
{
"id": "1756157",
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{
"id": "1735360",
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1541055 | A small town in Bolivia exists primarily because an open-pit copper mine produces a large amount of valuable metal ore. There is no other significant employer in the town, and the few other businesses and services in the community are there to support the employees of the copper mine. In this situation, the employment ... | D | Multiple Choice | Economics | University | 6 | [
{
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{
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{
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] |
154375 | Evaluate the limit
{eq}\displaystyle \lim_{t \rightarrow 0} \frac{e^{-t}-1}{t}
{/eq} | -1 | Integer | Mathematics | University | 6 | [
{
"id": "929565",
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{
"id": "914589",
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{
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{
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{
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"score": 0.7864752595346014
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] |
282331 | House of Flavors Ice Cream Parlor began depositing $1,000 in equal annual deposits in a fund beginning on January 2, 2014. The fund earns 10% compounded annually and the last deposit is made on January 2, 2018.
How much will be in the fund on January 2, 2019, one year after the final deposit?
A. $7,500
B. $6,716
C.... | B | Multiple Choice | Finance | University | 6 | [
{
"id": "1432872",
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{
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] |
1940237 | Consider the vector field {eq}\displaystyle \mathbf F = x \mathbf i + y \mathbf j + (z + x y z) \mathbf k {/eq}. Compute the circulation around the unit circle (center {eq}0 {/eq} and radius {eq}1 {/eq}) on the xy plane, counterclockwise. | 0 | Integer | Mathematics | University | 6 | [
{
"id": "761363",
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{
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] |
1441991 | Can I get some help integrating the following? $\int_{-\infty}^{\infty} x^{n-1}\frac{1}{\sqrt{2\pi}}e^{\frac{-\log(x)^2}{2}}dx$ Apparently the answer I am supposed to get is $e^{\frac{n^2}{2}}$ I was told that I should use u-substitution and the Gaussian integral. $\int_{-\infty}^{\infty}x^{n}\frac{1}{\sqrt{2\pi}}e^{\f... | $e^{\frac{n^2}{2}}$ | Expression | Mathematics | University | 6 | [
{
"id": "24792",
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{
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{
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] |
197838 | An activity that is performed to support the production of a different product is a(n):
A. product-sustaining activity.
B. facility-sustaining activity.
C. unit-level activity.
D. performance-level activity.
E. batch-level activity. | A | Multiple Choice | Business | University | 6 | [
{
"id": "1023577",
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{
"id": "1537421",
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"score": 0.550333922841349
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] |
1178744 | Given the sequence defined by $a_{n+1} = 2a_n + n^2$ and $a_1 = 12$, explain why $\lim_{n \to \infty} \frac{a_{n+1}}{a_n} = 2$. Specifically, explain why $\lim_{n \to \infty} \frac{n^2}{a_n} = 0$ using mathematical concepts up to calculus. | 2 | Integer | Mathematics | University | 6 | [
{
"id": "680588",
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{
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"score": 0.4545921917015064
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] |
1729301 | Use a surface integral to derive a formula for the area of a sphere {eq}x^2 + y^2 + z^2 = a^2. | 4\pi a^2 | Expression | Mathematics | University | 6 | [
{
"id": "605199",
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{
"id": "1817309",
"score": 0.47088687765166104
},
{
"id": "279075",
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},
{
"id": "133016",
"score": 0.4376969109809049
},
{
"id": "174838",
"score": 0.4183756749370213
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] |
1351599 | If $C = \frac{1}{2}(y - a)^2$ where $y$ is a given value, $a = \sigma(z)$, and $z = wx + b$, why is the partial derivative of $C$ with respect to $w$ equal to $(y-a)\sigma'(z)x$ instead of $(y-a)\sigma'(z)$? | \((y-a)\sigma'(z)x\) | Expression | Mathematics | University | 6 | [
{
"id": "1265889",
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{
"id": "1257313",
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{
"id": "188094",
"score": 0.4038253881911553
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{
"id": "453420",
"score": 0.31848192311131807
},
{
"id": "461251",
"score": 0.31498078897736614
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] |
847695 | There are two primary rules of thumb for deciding if intellectual property protection should be pursued for a particular intellectual asset. First, a firm should determine if the intellectual property has value in the marketplace. Second, a firm should determine if its intellectual property _____.
A) is directly relat... | A | Multiple Choice | Business | University | 6 | [
{
"id": "385054",
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{
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1750138 | Aine would like to create a portfolio that is equally invested in a risk-free asset and two stocks. The one stock has a beta of 0.94. What does the beta of the second stock have to be if Aine wants the portfolio risk to equal that of the overall market? | 2.06 | Float | Finance | University | 6 | [
{
"id": "479012",
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{
"id": "965161",
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{
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{
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977230 | Why is my solution to the integral $\int_0^\infty0.5e^{-|x|}\,dx$ incorrect, and why does the textbook say the answer should be 1, given my use of the $u$-substitution $u=-|x|$ leading to $-0.5\int_0^{-\infty}e^u\,du=0.5$? | 0.5 | Float | Mathematics | University | 6 | [
{
"id": "1332852",
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{
"id": "1135737",
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{
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{
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{
"id": "928572",
"score": 0.32365617133200586
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] |
1696164 | If a firm has an accounts payable balance of $34,400 at the end of 2007 and $31,200 at the end of 2008, which of the following statements about accounts payable is correct?
a. Accounts payable decreased by $3,200 and represented a use of cash
b. Accounts payable increased by $3,200 and represented a source of cash
c... | a | Multiple Choice | Business | University | 6 | [
{
"id": "1289917",
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] |
2028153 | Find the volume V of the solid S whose base is the region enclosed by the parabola y = 4 - x^2 and the x-axis, and whose cross-sections perpendicular to the y-axis are squares. | 32 | Integer | Mathematics | University | 6 | [
{
"id": "334325",
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{
"id": "1775729",
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{
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{
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{
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] |
829687 | How is the ODE $ru''+2u'=0$ converted to the auxiliary equation $m(m-1)+2m=0$? | m(m-1)+2m=0 | Expression | Mathematics | University | 6 | [
{
"id": "690260",
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{
"id": "1726344",
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{
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{
"id": "1931232",
"score": 0.22081742862561554
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] |
1941697 | The greater the network effects associated with given reductions in the initial price,:
a) the greater the elasticity of the long-run demand for the network good.
b) the lower the elasticity of the long-run demand for the network good.
c) the greater the inelasticity of the long-run demand for the network good.
d) ... | a | Multiple Choice | Economics | University | 6 | [
{
"id": "1048027",
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{
"id": "753181",
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},
{
"id": "1449851",
"score": 0.34169549302260593
},
{
"id": "312860",
"score": 0.33810779881603314
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{
"id": "406285",
"score": 0.3364356204476987
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] |
378101 | If the return on total assets is {eq}10\%
{/eq} and if the return on common stockholders' equity is {eq}12\%
{/eq} then:
a. The after-tax cost of long-term debt is probably greater than {eq}10\%
{/eq}.
b. The after-tax cost of long-term debt is {eq}12\%
{/eq}.
c. Leverage is negative.
d. The after-tax cost of l... | d | Multiple Choice | Finance | University | 6 | [
{
"id": "131761",
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{
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{
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{
"id": "251509",
"score": 0.5608801515603804
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] |
1455734 | AJAX Company paid a dividend today of $4 per share. The dividend is expected to grow at a constant rate of 5% per year. If AJAX Company stock is selling for $56 per share, the stockholders' expected rate of return is:
A) 7.5%
B) 12.5%
C) 12.1%
D) 5.0% | B | Multiple Choice | Business | University | 6 | [
{
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{
"id": "931302",
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] |
963855 | What mass of solid {eq}NaCH_3CO_2
{/eq} (molar mass = 82.0 g/mol) should be added to 1.0 L of 0.50 M {eq}CH_3CO_2H
{/eq} to make a buffer with a pH of 7.21? (pKa of {eq}CH_3CO_2H
{/eq} = 7.21) | 41 g | Integer | Chemistry | University | 6 | [
{
"id": "1344708",
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{
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{
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] |
545144 | Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.
$$\lim_{x \rightarrow 0^+} (\tan(6x))^x
$$ | 1 | Integer | Mathematics | University | 6 | [
{
"id": "1170891",
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{
"id": "333974",
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{
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{
"id": "1550901",
"score": 0.5270489245543244
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{
"id": "1934935",
"score": 0.5015993590099391
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] |
92150 | Which of the following has been a common element found in all forms of psychotherapy through the centuries?
a. psychopharmacological intervention
b. talk therapy
c. trepanation
d. some form of ritual | b | Multiple Choice | Psychology | University | 6 | [
{
"id": "195097",
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{
"id": "2080047",
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{
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] |
1673284 | Which of the following statements does not apply to intrastatement tax allocation?
A) It is also referred to as intraperiod tax allocation.
B) It includes showing prior period adjustments net of tax effect.
C) It includes showing extraordinary items, changes in accounting principle, and operations of discontinued se... | D | Multiple Choice | Business | University | 6 | [
{
"id": "1392135",
"score": 0.2919055154384965
},
{
"id": "155378",
"score": 0.23599595555588165
},
{
"id": "1061961",
"score": 0.21177920465366112
},
{
"id": "1356190",
"score": 0.1996594080107117
},
{
"id": "25599",
"score": 0.1961356909114083
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] |
473498 | Assume that the distribution of the body mass index (BMI) among all the citizens of a country is normal with mean and standard deviation equal to 25 and 2 respectively. An individual is considered to have a “normal weight” if his or her BMI belongs to the interval centered on the mean and with width equal to four popul... | 27.56 | Float | Mathematics | University | 6 | [
{
"id": "1211542",
"score": 0.4819847741425021
},
{
"id": "1846476",
"score": 0.41659191373395266
},
{
"id": "387232",
"score": 0.39214404772661265
},
{
"id": "651155",
"score": 0.28592856546993506
},
{
"id": "2097018",
"score": 0.2633855561592987
}
] |
1257111 | Consider a normally distributed random variable {eq}x{/eq} with a mean of 20 and a standard deviation of 30. Compute {eq}P(x > 80){/eq}. | 0.0228 | Float | Mathematics | University | 6 | [
{
"id": "313628",
"score": 0.9667028119075672
},
{
"id": "963740",
"score": 0.8008385410004734
},
{
"id": "469924",
"score": 0.7967857425528271
},
{
"id": "43570",
"score": 0.6553827666953522
},
{
"id": "1470369",
"score": 0.6243271359278997
}
] |
1525371 | What is the profit-maximizing quantity for the monopolist when marginal revenue is {eq}MR = 100 - 5Q
{/eq}, demand is {eq}P = 100 - \frac {1}{2}5
{/eq}, variable cost is {eq}60 + \frac{1}{2} 8 Q^2
{/eq}, and marginal cost is {eq}MC = 8Q
{/eq}? | 7.69 | Float | Economics | University | 6 | [
{
"id": "1784212",
"score": 0.6718418308239892
},
{
"id": "2020589",
"score": 0.6491261287364969
},
{
"id": "2046115",
"score": 0.642600176484894
},
{
"id": "1931528",
"score": 0.6230820645277514
},
{
"id": "1727658",
"score": 0.622687198027767
}
] |
1800326 | A perfectly competitive firm is charging $6 and selling 1,200 units a month. The firm raises the price by a nickel above the market price. Its profits:
a) will decrease.
b) will not change.
c) will go to zero.
d) will increase. | a | Multiple Choice | Economics | University | 6 | [
{
"id": "854331",
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"id": "1270666",
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{
"id": "733496",
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] |
2010497 | Management would generally expect favorable variances if standards were based on which of the following capacity measures?
A. Ideal
B. Foreign
C. Expected
D. None of the above | C | Multiple Choice | Business | University | 6 | [
{
"id": "1287700",
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{
"id": "496057",
"score": 0.226716966768849
},
{
"id": "1850064",
"score": 0.20182519447801706
},
{
"id": "477820",
"score": 0.18932913708835933
},
{
"id": "1403558",
"score": 0.18930441686772065
}
] |
1327832 | For the year ended December 31, 2017, Transformers Inc. reported the following:
Net Income $295,120
Preferred dividends paid $52,563
Common dividends paid $11,449
Unrealized holding loss, net of tax $4,297
Retained Earnings, beginning balance $413,318
Common Stock $189,651
Accumulated Other Comprehensive Income,... | $16,967 | Float | Business | University | 6 | [
{
"id": "418793",
"score": 0.3208779760406232
},
{
"id": "944005",
"score": 0.3143437190132318
},
{
"id": "1871166",
"score": 0.29585905489550396
},
{
"id": "762266",
"score": 0.2564814720658056
},
{
"id": "1264166",
"score": 0.25406047251666114
}
] |
563267 | Consider the following information:
Net income$28,000
Depreciation$7,500
Increase/(decrease) in accounts receivable$2,450
Increase/(decrease) in prepaid rent($1,900)
Increase/(decrease) in accrued liabilities$1,650
Cash paid to purchase office equipment$4,750
The company would report net cash provided by operating ac... | C | Multiple Choice | Business | University | 6 | [
{
"id": "1651825",
"score": 0.46244271421260585
},
{
"id": "1655872",
"score": 0.4186030384533494
},
{
"id": "764134",
"score": 0.4167886903523887
},
{
"id": "1675356",
"score": 0.40171479920263187
},
{
"id": "2061212",
"score": 0.399676063435893
}
] |
940559 | How do you evaluate the definite integral by the limit definition given #int xdx# from [0,4]? | 8 | Integer | Mathematics | University | 6 | [
{
"id": "1986149",
"score": 0.6934662692791996
},
{
"id": "1510197",
"score": 0.668748568104955
},
{
"id": "1950630",
"score": 0.6148561096940086
},
{
"id": "1859684",
"score": 0.5958717523469914
},
{
"id": "892489",
"score": 0.5928766382226222
}
] |
1185124 | You describe to your students a new committee within the university that brings together specialists from all different departments to develop a new interdisciplinary program. The structure of the committee best meets the definition of the:
A) matrix structure.
B) simple structure.
C) boundary-less organization.
D)... | A | Multiple Choice | Business | University | 6 | [
{
"id": "868275",
"score": 1
},
{
"id": "1181430",
"score": 0.3230153063418589
},
{
"id": "808210",
"score": 0.29157384629371613
},
{
"id": "925397",
"score": 0.2522396047334347
},
{
"id": "1158350",
"score": 0.2522396047334347
}
] |
1179609 | In showing the convex conjugate of log-sum-exp function, why is the domain of the convex conjugate, $f^*(y) = \sup_{x \in D} \{y^Tx - f(x)\}$, restricted to $y \succeq 0$ instead of the more general restriction $y_k \geq -1$? | y \succeq 0 | Expression | Mathematics | University | 6 | [
{
"id": "732637",
"score": 0.2645554783346944
},
{
"id": "1193189",
"score": 0.22759111381524838
},
{
"id": "1987787",
"score": 0.20112304267087572
},
{
"id": "621433",
"score": 0.17963436410688638
},
{
"id": "1966450",
"score": 0.1558992961720654
}
] |
293421 | Swan Corporation incurred the following expenditures in connection with the development of a new product:
Salaries $40,000
Materials8,000
Advertising3,000
Market survey 2,000
If Swan Corporation elects to expense research and experimental expenditures, determine the amount of the deduction for research and experiment... | b | Multiple Choice | Business | University | 6 | [
{
"id": "1323946",
"score": 0.43007958095776094
},
{
"id": "2097696",
"score": 0.3687497304445592
},
{
"id": "1655547",
"score": 0.36408505975664324
},
{
"id": "1315231",
"score": 0.3627215578966241
},
{
"id": "1400324",
"score": 0.35595215879431996
}
] |
221899 | Other things held constant, which of the following events is most likely to encourage a firm to increase the amount of debt in its capital structure?
A) Its sales become less stable over time.
B) The costs that would be incurred in the event of bankruptcy increase.
C) Management believes that the firm's stock has be... | E | Multiple Choice | Finance | University | 6 | [
{
"id": "706750",
"score": 0.29949443956578004
},
{
"id": "1474346",
"score": 0.2883258770557501
},
{
"id": "1832912",
"score": 0.27764761391537707
},
{
"id": "1865260",
"score": 0.2574143523461888
},
{
"id": "1953696",
"score": 0.24297502678690694
}
] |
1475891 | In a speech to the Asia Pacific Economic Cooperation summit in Peru in November 2008, President Hu of China commented on his country's country's $586 billion fiscal stimulus plan by saying, "Instead of relying mainly on investment and export we will adopt a coordinated approach that combines consumption, investment, an... | D | Multiple Choice | Economics | University | 6 | [
{
"id": "1910947",
"score": 0.5668560410912031
},
{
"id": "779305",
"score": 0.5401955919489223
},
{
"id": "562340",
"score": 0.5372808209654398
},
{
"id": "1724185",
"score": 0.47134723845369375
},
{
"id": "803916",
"score": 0.4194344775094092
}
] |
1112927 | I want to show that $\lim\limits_{n\to\infty}\frac{1}{n}\sum\limits_{k=1}^n\log\frac{k}{n}=-1$. Can the argument with the Riemann sum work? | -1 | Integer | Mathematics | University | 6 | [
{
"id": "304465",
"score": 0.6111147182764419
},
{
"id": "478135",
"score": 0.5826044723563544
},
{
"id": "1038417",
"score": 0.548755786485799
},
{
"id": "135348",
"score": 0.5395669372455125
},
{
"id": "885093",
"score": 0.5045150053958227
}
] |
1471763 | How do you find the limit of ln(x)/ln(3x) as x approaches infinity? | 1 | Integer | Mathematics | University | 6 | [
{
"id": "694962",
"score": 0.8894671972177853
},
{
"id": "1657225",
"score": 0.8078226155503282
},
{
"id": "1231151",
"score": 0.6674554960260202
},
{
"id": "1982398",
"score": 0.658560580372707
},
{
"id": "542992",
"score": 0.6389604614791065
}
] |
1648782 | According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a standard deviation of $7,500. Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn less than $50,000. Round your answer to at least four decima... | 0.8643 | Float | Mathematics | University | 6 | [
{
"id": "733887",
"score": 0.9410878979796411
},
{
"id": "1504667",
"score": 0.3248450178884301
},
{
"id": "762291",
"score": 0.30255991358731404
},
{
"id": "1058709",
"score": 0.30255991358731404
},
{
"id": "1128863",
"score": 0.21543744015902286
}
] |
1510120 | Keys Printing plans to issue a $1,000 par value, 20-year non-callable bond with a 7.00% annual coupon, paid semiannually. The company's marginal tax rate is 40.00%, but Congress is considering a change in the corporate tax rate to 45.00%. By how much would the component cost of debt be used to calculate the WACC change... | 0.35% | Percentage | Finance | University | 6 | [
{
"id": "1474140",
"score": 0.8720466824439116
},
{
"id": "506204",
"score": 0.355784775207327
},
{
"id": "360630",
"score": 0.3367851926564733
},
{
"id": "1368073",
"score": 0.32470927268204114
},
{
"id": "1596201",
"score": 0.32067393991100535
}
] |
679991 | How to proceed with proving $e^x e^{-x} = 1$ using Taylor expansion, given that I'm stuck at $\sum_{n=0}^{\infty} \sum_{m=0}^{\infty}\frac{x^{m+n}}{m!n!} (-1)^m$? | 1 | Integer | Mathematics | University | 6 | [
{
"id": "1014112",
"score": 0.5557751022689594
},
{
"id": "1397645",
"score": 0.5497014701704744
},
{
"id": "484074",
"score": 0.5108648046545877
},
{
"id": "905739",
"score": 0.5065903821076748
},
{
"id": "162415",
"score": 0.48956121286043136
}
] |
146616 | On January 1, 2015, Apple inc. issued three $100,000, 6%, bond payables that mature in 5 years. Straight line depreciation is used. Bond #1 is issued at 100 with annual payments at December 31. Determine the carrying value of the bonds on the Balance Sheet at December 31. | $100,000 | Integer | Business | University | 6 | [
{
"id": "1242159",
"score": 0.972032611554015
},
{
"id": "445853",
"score": 0.47567583467648006
},
{
"id": "147317",
"score": 0.47506241163993607
},
{
"id": "798916",
"score": 0.4724518403157045
},
{
"id": "1920945",
"score": 0.37618270582801133
}
] |
914029 | Regulatory forbearance:
A) meant delaying the closing of "zombie S&Ls" as their losses mounted during the 1980s.
B) had the advantage of benefiting healthy S&Ls at the expense of "zombie S&Ls", as insolvent institutions lost deposits to health institutions.
C) had the advantage of permitting many insolvent S&Ls the ... | A | Multiple Choice | Economics | University | 6 | [
{
"id": "829749",
"score": 0.15951566531778089
},
{
"id": "2085565",
"score": 0.14965805034853066
},
{
"id": "21021",
"score": 0.11892459920350598
},
{
"id": "1358244",
"score": 0.11522611724684628
},
{
"id": "81259",
"score": 0.09452206746524491
}
] |
589057 | Following are selected accounts for Green Corporation and Vega Company as of December 31, 2013. Several of Green's accounts have been omitted.
Green
Vega
Revenues
$ 900,000
$ 500,000
Cost of goods sold
$ 360,000
$ 200,000
Depreciation e... | A | Multiple Choice | Business | University | 6 | [
{
"id": "1315231",
"score": 0.6380644099980979
},
{
"id": "1400324",
"score": 0.6032645801626293
},
{
"id": "2097696",
"score": 0.5854197718809112
},
{
"id": "909597",
"score": 0.5753634506966198
},
{
"id": "1009808",
"score": 0.565025745439792
}
] |
1048450 | On Thursday the following bond quotation appears in the newspaper. Interpret each item that appears in the quote and compute its current yield (dollar amounts are in 000s) :
COMPANY (TICKER) COUPON MAT. LAST PRICE LAST YIELD EST SPREAD EST UST $VOL
Wal-Mart Stores WMT 4.550 May 1, 2013 99.270 4.649 47 10 66,830 | 4.58% | Percentage | Finance | University | 6 | [
{
"id": "121801",
"score": 0.2264882958962163
},
{
"id": "1832655",
"score": 0.21430084308679226
},
{
"id": "1893826",
"score": 0.19608289690341654
},
{
"id": "195463",
"score": 0.18937859116525982
},
{
"id": "1424429",
"score": 0.18620366961794851
}
] |
949580 | The given answer is zero. I tried adjusting the coefficients, changing to binomial co-efficients. Like $99C_r$ but still the inside terms, i am not able to adjust. | 0 | Integer | Mathematics | University | 6 | [
{
"id": "1045470",
"score": 0.17629764697740896
},
{
"id": "530834",
"score": 0.15724521132795244
},
{
"id": "1606814",
"score": 0.1478358945843307
},
{
"id": "263206",
"score": 0.1352766294104592
},
{
"id": "1394160",
"score": 0.12953313912243036
}
] |
1262024 | The name economists give the process by which stockholders gather information by frequent monitoring of the firm"s activities is:
A) costly state verification.
B) the free-rider problem.
C) costly avoidance.
D) debt intermediation. | A | Multiple Choice | Economics | University | 6 | [
{
"id": "201736",
"score": 0.24323113924682085
},
{
"id": "353743",
"score": 0.12866005477457576
},
{
"id": "100923",
"score": 0.11724293689223315
},
{
"id": "503010",
"score": 0.10877387022268618
},
{
"id": "1722800",
"score": 0.10622490654079261
}
] |
1719204 | Is $3$ the only prime that is both a Mersenne prime and a Fermat prime? | 3 | Integer | Mathematics | University | 6 | [
{
"id": "1020100",
"score": 0.373158581819383
},
{
"id": "611275",
"score": 0.34262435240201966
},
{
"id": "1747725",
"score": 0.3386042720581195
},
{
"id": "493808",
"score": 0.319416297348606
},
{
"id": "674321",
"score": 0.2770389482115647
}
] |
750972 | How many annual payments of $1,300 will Kevin receive if he invests $7,793.83 now for a series of $1,300 annual returns beginning one year from now and earns a return of 9% on the initial investment? | 9 | Integer | Mathematics | University | 6 | [
{
"id": "1539386",
"score": 0.46631927287985653
},
{
"id": "844935",
"score": 0.26203266022503113
},
{
"id": "1610313",
"score": 0.25158706706890704
},
{
"id": "1445034",
"score": 0.2239061961008211
},
{
"id": "72316",
"score": 0.22304063170667185
}
] |
1165336 | ABC Company sold a delivery van for $10,000 cash. The company had owned the delivery vehicle for two complete years when it was sold. The estimated useful life of the vehicle was four years and the residual value was $Nil. Accumulated amortization at the time of the sale was $20,000. Which of the following correctly re... | c | Multiple Choice | Business | University | 6 | [
{
"id": "1655872",
"score": 0.344723784869833
},
{
"id": "350065",
"score": 0.34312131501404897
},
{
"id": "186983",
"score": 0.3420184611301522
},
{
"id": "659421",
"score": 0.3268857004886989
},
{
"id": "533588",
"score": 0.3123281116826148
}
] |
1394539 | In 2014 ACS Corp borrowed {eq}\$110,000
{/eq}, paid dividends of {eq}\$26,000
{/eq}, issued {eq}14,000
{/eq} shares of stock, purchased land for {eq}\$25,000
{/eq} and received dividends of {eq}\$4,000
{/eq}. Net income was {eq}\$80,000
{/eq} and depreciation for the year totaled {eq}\$14,000
{/eq}. Accounts rec... | $84,000 | Integer | Business | University | 6 | [
{
"id": "2020589",
"score": 0.7553367793245757
},
{
"id": "1727658",
"score": 0.7245718849747068
},
{
"id": "829114",
"score": 0.7188545730619301
},
{
"id": "251509",
"score": 0.7164453578224736
},
{
"id": "1214052",
"score": 0.7126342508378115
}
] |
127663 | What is the {eq}\displaystyle
pH
{/eq} in this buffer solution:
{eq}\displaystyle
0.211
{/eq} grams weak acid (molecular weight {eq}\displaystyle
234 \text{ and } k_a = 2.5 \times 10^{-5}) \text{ added to } 35 \text{ ml water and } 0.211
{/eq} grams conjugate base added to {eq}\displaystyle
35 ml
{/eq} water | 4.60 | Float | Chemistry | University | 6 | [
{
"id": "1099092",
"score": 0.5683761418496955
},
{
"id": "309828",
"score": 0.5462440865243592
},
{
"id": "1716967",
"score": 0.5273242190430908
},
{
"id": "301477",
"score": 0.5231127055893839
},
{
"id": "750270",
"score": 0.5049124645545587
}
] |
1748077 | Gains on an exchange of plant assets that has commercial substance are:
A. deducted from the cost of the new asset acquired.
B. deferred.
C. not possible.
D. recognized immediately. | D | Multiple Choice | Business | University | 6 | [
{
"id": "583515",
"score": 0.4480585876002568
},
{
"id": "1798672",
"score": 0.24240287253259454
},
{
"id": "1540081",
"score": 0.23704281284451412
},
{
"id": "415016",
"score": 0.22688380937917402
},
{
"id": "60193",
"score": 0.20687446487637326
}
] |
344006 | Find the volume of the solid generated by revolving the region bounded by {eq}\displaystyle y=\cos(\frac{x}{2}), y=\sin(\frac{x}{2}),x=0, \ and \ x=\frac{\pi }{2} {/eq} about the x-axis. | \pi | Expression | Mathematics | University | 6 | [
{
"id": "372175",
"score": 0.841486964194467
},
{
"id": "855305",
"score": 0.8012727240097176
},
{
"id": "81873",
"score": 0.7248050785218816
},
{
"id": "1101376",
"score": 0.7168356046265022
},
{
"id": "516166",
"score": 0.6982615926436104
}
] |
1654739 | Is 28 the only number that can be written as a sum of the first n positive integers, the first m non-primes, and the first p primes? | 28 | Integer | Mathematics | University | 6 | [
{
"id": "1102206",
"score": 0.40831533078209065
},
{
"id": "1185433",
"score": 0.3813428841614614
},
{
"id": "178463",
"score": 0.3639105884871978
},
{
"id": "1281766",
"score": 0.24034869594776273
},
{
"id": "1174227",
"score": 0.19861013610438272
}
] |
1480483 | How should I continue from $\displaystyle\frac{\ln\left(1+ \frac hx\right)}{h}$ to find the derivative of $\ln(x)$? | 1/x | Expression | Mathematics | University | 6 | [
{
"id": "291595",
"score": 0.6497223341005846
},
{
"id": "210661",
"score": 0.5848078118038765
},
{
"id": "1050173",
"score": 0.5840912623439207
},
{
"id": "1755799",
"score": 0.5823206674599185
},
{
"id": "1231151",
"score": 0.5472655817724692
}
] |
564311 | If you liquidate $3,000 of your mutual fund and transfer the funds to your checking account, then initially, M1 will _____ and M2 will _____.
a. not change; decrease
b. not change; not change
c. increase; not change
d. increase; decrease | c | Multiple Choice | Economics | University | 6 | [
{
"id": "533588",
"score": 0.47915111626822904
},
{
"id": "1270666",
"score": 0.44946647107389126
},
{
"id": "1977788",
"score": 0.42317677787932667
},
{
"id": "435129",
"score": 0.3740620912520195
},
{
"id": "1745183",
"score": 0.3733689312776113
}
] |
1401778 | Use the margin of error, confidence level, and standard deviation to find the minimum sample size required to estimate an unknown population mean, given a margin of error of $120, a confidence level of 95%, and a standard deviation σ = $522. | 73 | Integer | Mathematics | University | 6 | [
{
"id": "353533",
"score": 0.6333994224076697
},
{
"id": "641432",
"score": 0.5926652742331296
},
{
"id": "462384",
"score": 0.5905358598422594
},
{
"id": "1678465",
"score": 0.5272829389000834
},
{
"id": "189401",
"score": 0.5145644141551574
}
] |
974453 | Assuming that the standard deviation of the population of shopping times at the supermarkets is 26 minutes, what is the minimum sample size she must collect in order for her to be 95% confident that her estimates is within 4 minutes of μ ? | 163 | Integer | Mathematics | University | 6 | [
{
"id": "877389",
"score": 0.6120682200792555
},
{
"id": "1324891",
"score": 0.48944252259394194
},
{
"id": "1513582",
"score": 0.42480895184110856
},
{
"id": "58496",
"score": 0.3745465124003816
},
{
"id": "411412",
"score": 0.3279322661021653
}
] |
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