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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


One of the solutions of the equation $$x^{2}+bx+c=0$$ is -3.

Quantity A

$$3b$$

Quantity B

$$c+9$$


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




Quantity A

The standard deviation of the distribution of X

Quantity B

The standard deviation of the distribution of Y


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

$$c^3$$


In a candy factory, quality-control tests were conducted on six 1,000-piece batches of candy. The numbers of pieces of candy that were rejected in these batches were 4, 3, 8, 6, 3, and 12, respectively. If the median of these numbers is used topredict the number of rejections in each 1,000-piece batch of candy produced by this factory, what is the total number of rejections predicted for 20 such batches?
The letters R, W, S, T, M, and P are to be arranged from left to right in a sequence such that each of the 6 letters occurs exactly once. For example, PMRSTW is one such sequence. Of all possible sequences of this type, how many have S as the left-most letter and T as the right-most letter?
If a four-digit number is to be formed from the digits 1, 2, 3, and 4 by selecting each digit at random and using each digit only once, what is the probability that the number formed will be greater than 3,000?
$$k > 0$$

Quantity A

The volume of a hemisphere (half of a sphere) that has radius $$k$$

Quantity B

The volume of a right circular cylinder that has height $$k$$ and whose base has radius $$k$$


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?


The tick marks shown on the number line are equally spaced. What is the coordinate of the tick mark shown that has the least coordinate that is greater than 0.3?
The recorded heights, in inches, of 9 people are 58, 62, 62, 62, 63, 70, 71, 74, and 75. Which of the following lists the mean, the median, and the mode of the recorded heights in order, from least to greatest?


What is the area of the shaded region in the rectangular coordinate system above?
What is the nearest integer to the value of $$\sqrt[3]{27+64}$$?
A certain restaurant offers each customer a combination dinner consisting of a choice of any entree, a choice of any beverage, and a choice of any dessert. The number of different combination dinners that are possible is 90. Which of the following CANNOT be the number of desserts available to be chosen for a combination dinner?
The probability is 0.70 that event E occurs, 0.40 that event F occurs, and 0.30 that both events occur.

Quantity A

The probability that neither E nor F occur

Quantity B

0.20


n > 4

Quantity A

The sum of the first n positive prime numbers

Quantity B

The sum of the first n positive integers


$$4 < x < y < 8$$

The ratio of $$x$$ to $$y$$ is 4 to 7.

Quantity A

$$y-x$$

Quantity B

3




Quantity A

The radius of the circle

Quantity B

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


Quantity A

The expected value of X

Quantity B

The expected value of Y


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