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The shaded region in the xy-plane represents the surface of a pond. A length of 1 unit in the xy-plane represents 5 meters.The average depth of the water in the pond is 0.8 meter.Of the following, which is the best estimate of the total volume, in cubic meters, of the water in the pond?

Quantity A

$$5(2^{x})$$

Quantity B

$$4(3^{x})$$


The table summarizes information about the 72 students in a history class. If a student is to be selected at random from the class, what is the probability that the student will be one who is male or a senior?

From a group of 100 people including Alice and Bob, 40 people are to be randomly selected at the same time to win movie tickets. What is the probability that both Alice and Bob will be selected to win movie tickets?
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


A certain personal identification number (PIN) for opening garage doors is a sequence of 4 digits, where each digit is selected from the digits 0 to 9. How many such PINs have at least two different digits and are palindromes? (Note: A palindrome is a sequence of characters that reads the same backward and forward. For example, 1221 is a palindrome.)


r, s, and t are number on the number line above.

Quantity A

$$\frac{rs}{t}$$

Quantity B

$$rst$$


A group of n people is categorized as follows.

9 people are taller than 6 feet.

14 people are shorter than 5(1/2) feet.

12 people are under 21 years old.

If each person in the group is in at least one of the three categories, then n can be any integer between


The length of one side of the above quadrilateral is p, while the length of the other three sides are q, r, and s, respectively.

Quantity A

p

Quantity B

q+r+s


A total of $84,000 was invested for one month in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $420 in interest for the month, what is the value of r?
The passage implies that most popular science writing
$$x^{4}-3x^{2}+2=0$$ and x > 1

Quantity A

x

Quantity B

$$\sqrt{2}$$


If 30 percent of the presidents and 80 percent of the vice presidents are serving their first terms, what is the least possible number of the organizations that have both their president and corresponding vice president serving their first term?
One of the vice presidents will be chosen at random. What is the probability that the vice president chosen will be one whose age is greater than 63 years given that the age of the corresponding president is less than 53 years?

Give your answer to the nearest 0.01.
Two bags, A and B, each contain marbles some of which are green. If one marble is selected at random from each bag, the probability is $$\frac{1}{21}$$ that both of the marbles selected will be green. If one marble is selected at random from bag A only, the probability is $$\frac{5}{21}$$ that the marble selected will be green. If one marble is selected at random from bag B only, what is the probability that the marble selected will be green?

Give your answer as a fraction.


In the rectangular coordinate plane, (x, y) is a point on the circle with center O and radius 1, and xy ≠ 0.

Quantity A

$$x^3 + y^3$$

Quantity B

1




The total number of calories from carbohydrates in a single serving of Trail Mix is approximately what percent of the total number of calories in the serving?


A certain candy bar contains a total of 28 grams of fat. The total number of grams of fat in the candy bar is what percent greater than the total number of grams of fat in one bag of Trail Mix?

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