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Alex G.

Current Vanderbilt Student

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Question:

Identify the error(s) in the following sentences: (1) New Jersey is the greatest (A)state in the (B)nation, and (C)any one who disagrees is simply (D)incorrect. (2) Many people (A)believe New Jersey (B)is a bad state (C); however, this is just a rumor spread(D), by the television show Jersey Shore. (3) Even though (A)its small, New Jersey is a magical (B)place with (C)many (D)different activities and attractions. (4) It may have (A)less people than many other states(B), but it has great food, great people, (C)great towns, and a diverse physical landscape. If any sentence is without a mistake, mark E (no error) for that question.

Alex G.

Answer:

1. The correct answer is C - the correct term is "anyone," not the separated "any one." 2. The correct answer is D - there should be no comma after the word "spread." 3. The correct answer is A - "its" is the possessive form. The contraction for "it is" is "it's," with the apostrophe. 4. The correct answer is A - when dealing with actual quantities, "fewer" should be used rather than "less."

Pre-Algebra

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Question:

In baseball, slugging percentage is a batting statistic that tracks how many "bases" a given hitter earns per at-bat. A single is worth one base, a double is two, a triple is three, and a home run is... surprisingly... four. This past season, Mike Trout, LA Angels All-Star, recorded 92 singles, 30 doubles, and 4 triples in 471 at-bats. His slugging percentage was 0.577. Find his number of home runs for the season.

Alex G.

Answer:

To find his number of home runs, we must set up an equation that uses the slugging percentage formula. Slugging percentage is calculated by dividing total bases by total at bats. To find the total number of bases, we must simply multiply the given number of each type of hit by the base value associate with it. So, total bases = 1(singles) + 2(doubles) + 3(triples) + 4(home runs). Now we can create the formula for slugging percentage: (1S + 2D + 3T + 4HR) / AB = SLG% Plug in our given values: (1(92) + 2(30) + 3(4) + 4X) / 471 = 0.577 Then, we get rid of the denominator by multiplying both sides by 471: 1(92) + 2(30) + 3(4) + 4X = 272 (rounded up) Simplify by adding the known values: 164 + 4X = 272 Subtract 164 from both sides: 4X = 108 Finally, divide both sides by 4 to find X, the number of home runs: X = 108/4 = 27 27 Home Runs

Economics

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Question:

On Thursday, Vanderbilt opens the football season with a 7pm game vs. South Carolina. You have an Econ test Friday morning that you need to study for, but still want to go to the game. The game lasts three hours, and every hour you study for the test increases your score by 2%. The tickets cost $24, and you have to take a $3.50 Uber to get to the stadium. What is the opportunity cost of going to the game? A. $24 B. $27.50 C. $3.50 D. The emotional cost of watching Vanderbilt football E. 6% on the test

Alex G.

Answer:

The answer is E (or D, depending on if you stay for the whole thing). Opportunity cost is 100% different from absolute cost - the nominal cost of going to the game is $27.50 ($24 ticket + $3.50 Uber ride); the opportunity cost, however, is the value of the highest-valued alternative - i.e., what you could've been doing with your time. In this case, studying - if you didn't go to the game, you would've spent three more hours studying, and your score would've been 6% higher than had you mistakenly gone and watched the Dores lose.

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