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(3.8*$$6^{25}$$) - (0.24*$$6^{26}$$) =
64 < $$x^{3}$$ < 216

Quantity A

x

Quantity B

5


3x-2k=7

9x-6k=21

Quantity A

x

Quantity B

k




The function f is defined for all numbers x by f(2x)=$$x^{2}$$-2x+8.

Quantity A

f(6)

Quantity B

12




The three squares share a common vertex, as shown.

Quantity A

a+b

Quantity B

90°




What is the range of the number of voters in favor of Republican Party on different issues?
By how many percent are respondents more in favor of Republican Party than Democratic Party on Environment issues?

Give your answer to the nearest whole percent.

_____%
If 180 respondents are in favor of Republican Party on both Health Care issue and Tax issue, then how many percent of respondents are in favor of parties other than Republican Party on either of these two issues?

_____%
The sum of 101 consecutive even integers is 20,200.

Quantity A

The average (arithmetic mean) of the 101 integers

Quantity B

The median of the 101 integers




In the three frequency distributions, the variable x has integer values from 1 through 5. For which of the distributions is the average (arithmetic mean) of the 15 values of x equal to the median of the 15 values of x?


The random variable X has the standard normal distribution with a mean of 0 and a standard deviation of 1, as shown. Probabilities, rounded to the nearest 0.01, are indicated for the six intervals shown. The random variable Y has a normal distribution with a mean of 2 and a standard deviation of 1. Using the probabilities shown, approximately how much greater is the probability that the value of Y is between 1 and 2 than the probability that the value of X is between 1 and 2?
-1, 2, -3, 4, ... , $$a_{n}$$, ................... , -99, 100

In the finite sequence, $$a_{n}$$=$$(-1)^{n}$$*n for all integers n between 1 and 100, inclusive.

Quantity A

The sum of the terms in the sequence

Quantity B

51


Historically, the depletion of soil`s nitrogen has been one of the most _____________ problems faced by farmers: an essential nutrient, nitrogen is quickly leached from soil, and farmers have struggled to find ways to replenish it.
Let n be a nonnegative integer such that when 6n is divided by 75, the remainder is 30. Which of the following is a list of all possible remainders when 7n is divided by 75?
The lengths of the sides of triangle RST are 3,4, and y. Which of the following inequalities specifies those values of y for which each angle measure of triangle RST is less than 90°?
In the sophomore class of a certain university, 85 percent of the students were taking English composition, 70 percent were taking biology, and 60 percent were taking both English composition and biology. What percent of the students in the class were taking neither English composition nor biology?

Quantity A

The number of positive even integers less than 100, each of which is the square of an integer

Quantity B

The number of positive odd integers less than 100, each of which is the square of an integer


In a certain survey, 40 percent of the people surveyed own at least one dog, 30 percent own at least one cat, and 40 percent own neither a dog nor a cat. Of those surveyed that own at least one dog, what percent also own at least one cat?


The daily high temperature, in degrees Fahrenheit, in a certain city were recorded for 11 consecutive days. The table above shows the frequency distribution of the recorded temperatures. Which of the following statements are true?

Indicate all such statements.


The cube shown above has edges of length x, where x is an integer. The length of diagonal AG (not shown) is 10.39, to the nearest 0.01. What is the value of the integer x?

x=_____

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