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Quantity A

The area of a rectangle with a perimeter of 32

Quantity B

The area of a rectangle with a perimeter of 52


A company has only two kinds of vehicles: cars and trucks. If 24 percent of the company's vehicles are cars that have automatic transmission and 60 percent of the company's cars have automatic transmission, what percent of the company's vehicles are cars?

_____%
$$n$$ is a positive integer

$$x=n^{2}+7n+10$$

Quantity A

The remainder when $$x$$ is divided by $$2$$

Quantity B

$$1$$


For which of the following can it be concluded that (0, 1)?


In quadrilateral ABCD, AB=BC=BD and the measure of angle ABC is 60 degrees What is the measure of angle ADC?
Data set Q contains 10,000 values. The median of the values is equal to the third quartile of the values.

Quantity A

The 60th percentile of the values in Q

Quantity B

The 70th percentile of the values in Q




In the rectangular coordinate system shown, how many of the five points $$Q$$, $$R$$, $$S$$, $$T$$, and $$U$$ have coordinates that satisfy the inequality $$y \gt -x+3$$?


The two circles shown have the same circumference and are tangent to each other at point S. Point R (not shown) is on one of the circles, and point T (not shown) is on the other circle.

Quantity A

The circumference of either circle

Quantity B

The length of line segment RT


Nine integers are to be selected so that their product will be even.

Quantity A

The least possible number of the nine integers that can be even

Quantity B

2


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

$$k^2$$


A survey of 300 travelers was taken at an airport. Of these travelers 90 percent were traveling on Airline A. Of those who were traveling on Airline A, 30 percent had first-class seats. Which of the following statements must be true about the 300 travelers?

Indicate all such statements.
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


In triangle ABC, AB=9 and BC=12. Which of the following values could be the perimeter of triangle ABC?

Indicate all such values.


ABDE is a rectangle and BCD is a semicircle.

Quantity A

The total area of the enclosed region ABCDE

Quantity B

36


How many different combinations of 5 cards can be chosen from a pack of 52 cards?
In a certain corporation,an employee council will consist of 3 employees who will be selected from 20 eligible employees. If each of the 3 positions on the council has a different role on the council,then there are 6,840 possible 3-employee selections from the 20 eligible employees. How many possible 3-employee selections are there if the 3 positions all have the same role?
At a research organization, a committee consists of 3 members from department A, 3 members from department B, and 3 members from department C. From the committee, 2 different members will be selected at random to attend a conference. What is the probability that both of the members selected will be from department C?
For all bookstores in 1996, approximately what was the average (arithmetic mean) book sales per store?
Three 16-ounce bottles, M, R,and S, are filled with three different beverages. The amount of sugar contained in bottle M is $$\frac{1}{4}$$ of the amount of sugar contained in bottle R and is $$\frac{2}{5}$$ of the amount of sugar contained in bottle S. The amount of sugar contained in bottles R and S combined is what fraction of the amount of sugar contained in bottle R?
In the xy-plane, which of the following best represents the graph of $$y=(x-1)^2-8$$?

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