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A sample of 18 integers has an average (arithmetic mean) equal to m and standard deviation equal to s. Two of the integers are equal to m.

Quantity A

The standard deviation of the 16 integers that are not equal to m

Quantity B

s




The table above lists the rainfall, in centimeters, for June, July, and August in selected cities. Based on the information given,which of the following statements are true?

Indicate all such statements.
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?
How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 if all the digits in each number must be different?
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?

Quantity A

The median of the consecutive integers from 6 to 74, inclusive

Quantity B

39.5


6.4, 9.6, 8.4, 6.4, 7.1, x, y

The 7 numbers listed above have two modes: 6.4 and 8.4. If the arithmetic mean of the 7 numbers is 7.7, what is the median of the 7 numbers?
The average (arithmetic mean) of the six numbers $$y_1, y_2, y_3, y_4, y_5$$, and $$y_6$$ is $$k$$. The average of the six numbers $$y_1+k, y_2+k, y_3+k, y_4+k, y_5+k$$, and $$y_6+k$$ is $$m$$.

Quantity A

k

Quantity B

m


What is the nearest integer to the value of $$\sqrt[3]{27+64}$$?


Quantity A

The radius of the circle

Quantity B

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




Two metal cans are right circular cylinders of different sizes. The interior base of can A has an area of 5π square inches, and the height of the oil in can A is 6 inches. The interior base of can B has an area of 10π square inches, and the height of the oil in can B is 2 inches. Oil is to be moved from can A to can B so that the height of the oil will be the same in both cans. Which of the following is closest to what will be the new height of the oil, in inches?
Which of the following is closest to the ratio of the land area of the Earth to the water area of the Earth?
In the xy-plane, what is the $$x$$-intercept of the line given by the equation $$4x+3y=24$$?
$$x ≠ 0$$

Quantity A

$$x^{-10}$$

Quantity B

$$x^{-20}$$


In the xy-plane, the point (2, 5) is a vertex of a square that has sides of length 3. Which of the following points could be the vertex of the square that is diagonally opposite the vertex (2, 5)?

Indicate all such points.
Four slips of paper are numbered 1, 2, 3, and 4, respectively and put into an empty box. If two of these slips of paper will be drawn out of the box at random and without replacement, what is the probability that the sum of the two numbers written on the slips of paper will be 3?
Pam, Steve,and Adrian each had a party. The number of people at Pam's party was 6 more than the number of people at Steve's party. The number of people at Steve's party was 8 fewer than the number of people at Adrian's party. No one attended more than one of the three parties. If the total number of people at the three parties was 89, what was the number of people at Adrian's party?
For each positive integer $$n$$, the function $$f(n)$$ is defined by the equation $$f(n)=2^{n(-1)^n}$$.

Quantity A

$$f(n+1)-f(n)$$

Quantity B

0


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