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Quantity A

x

Quantity B

90


Let $$k$$ be a positive integer, and let $$n$$ be a random variable whose values are the integers from 1 to $$k$$. The probability distribution of $$n$$ is defined by $$P(n)=\frac{2n-1}{d}$$, where $$d$$ is a constant.

Quantity A

$$d$$

Quantity B

$$k^2$$


$$j$$ and $$k$$ are integers such that 51 ≤ $$j$$ < $$k$$ ≤ 99.

Quantity A

The number of combinations of 100 objects taken $$j$$ at a time

Quantity B

The number of combinations of 100 objects taken $$k$$ at a time


$$x^{4}=y^{4}$$

Quantity A

x

Quantity B

y


Of the 200 integers in a set, the 65th percentile is 20.

Quantity A

The arithmetic mean of the integers in the set

Quantity B

20


There are currently 100,000 bacteria in a certain culture. The number of bacteria in the culture doubles every 2 hours and will be equal 100,000,000 in N hours.

Quantity A

N

Quantity B

48


For all values of $$a$$ and $$b$$, $$(a+b)^3 =a^3+3a^2b+3ab^2+b^3$$.

Quantity A

$$(c-d)^3+3(c-d)^2d+3(c-d)d^2+d^3$$

Quantity B

$$c^3$$


A certain group of 10 people consists of 5 men and 5 women. From this group, 2 people are to be selected at random. The probability that the 2 people selected will consist of 1 man and 1 woman is equal to p.

Quantity A

p

Quantity B

$$\frac{1}{2}$$


A monument is constructed on level ground in the shape of a pyramid with a square base. If each edge of the monument is 10 meters long, how many meters above the ground is the tip of the monument?
Positive integers m and k are to be chosen such that $$\frac{m}{5} < k < \frac{m}{3}$$

Quantity A

The least possible value of k

Quantity B

1




RSTW is a parallelogram with x < 90.

Quantity A

The area of the region enclosed by RSTW

Quantity B

50




Quantity A

The radius of the circle

Quantity B

$$\frac{x+y}{2}$$


A survey of voters who were either supporters of Candidate A or supporters of Candidate B showed that 64 percent of the supporters of Candidate A and 50 percent of the supporters of Candidate B were in favor of a progressive income tax.

Quantity A

The percent of the voters surveyed who were in favor of a progressive

Quantity B

57%


A tour group in an art museum consisted of 40 people, some of whom were art students. Of the art students who were in the tour group, 5 were studying sculpting and the rest were studying painting.

Which of the following statements individually provide(s) sufficient additional information to determine the number of art students who were in the tour group?

Indicate all such statements.
11, 12, 13, 14, 15

Which of the following changes to the list of numbers above would increase the average (arithmetic mean) of the numbers but not affect their standard deviation?
$$0 < x^y < 1$$

$$y$$ is an integer

Quantity A

$$y$$

Quantity B

0


Although producers of Broadway plays are attempting to curb overall costs, the problem of runaway production costs seems _______________: conditioned by movies, theme parks, and computer games, audiences demand ever more thrilling (and costly) special effects in plays.
Which of the following can be inferred from the passage regarding the period in which Bulosan immigrated to the United States?
Regarding Espiritu`s work, the passage implies which of the following?
$$x \lt 0$$

$$2y+3 \lt a$$

Quantity A

$$\frac{2y+3}{x}$$

Quantity B

$$\frac{a}{x}$$


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