题目列表

In the course of an experiment, 95 measurements were recorded, and all of the measurements were integers. The 95 measurements were then grouped into 7 measurement intervals. The graph above shows the frequency distribution of the 95 measurements by measurement interval.

Quantity A

The average (arithmetic mean) of the 95 measurements

Quantity B

The median of the 95 measurements x is an integer greater than 1.

Quantity A

$3^{x+1}$

Quantity B

$4^{x}$

A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.

Quantity A

The area of rectangle A

Quantity B

The area of rectangle B

The random variable X is normally distributed. The values 650 and 850 are at the 60th and 90th percentiles of the distribution of X, respectively.

Quantity A

The value at the 75th percentile of the distribution of X

Quantity B

750

Set S consists of all positive integers less than 81 that are not equal to the square of an integer.

Quantity A

The number of integers in set S

Quantity B

72

A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?
Which of the following could be the graph of all values of x that satisfy the inequality 2 - 5x ≤$\frac{(6x-5)}{3}$
If $1+x+x^2+x^3=60$, then the average (arithmetic mean) of x, $x^2, x^3, and x^4$ is equal to which of the following?
Parallelogram OPQR lies in the xy-plane, as shown in the figure above. The coordinates of point P are (2,4) and the coordinates of point Q are (8,6). What are the coordinates of point R ? The relationship between the area A of a circle and its circumference C is given by the formula A = $kC^2$,where k is a constant. What is the value of k ?
The sequence of numbers $a_1,a_2,a_3,...,a_n...$is defined by$a_n=\frac{1}{n}-\frac{1}{n+2}$for each integer n≥1.What is the sum of the first 20 terms of this sequence?
The table above shows the frequency distribution of the values of a variable Y. What is the mean of the distribution?

_____ Let S be the set of all positive integers n such that $n^2$ is a multiple of both 24 and 108. Which of the following integers are divisors of every integer n in S ?

Indicate all such integers.
The range of the heights of the female students in a certain class is 13.2 inches, and the range of the heights of the male students in the class is 15.4 inches.

Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the students in the class?

Indicate all such statements.

There are 275 students in the field of engineering at University X. Approximately what is the ratio of the number of students in engineering to the number of faculty in engineering? Approximately what percent of the faculty in humanities are male? For the biological sciences and health sciences faculty combined,$\frac{1}{3}$ of the female and $\frac{2}{9}$ of the male faculty members are tenured professors. What fraction of all the faculty members in those two fields combined are tenured professors?

_____/_____ For which of the eight years from 2001 to 2008 did exports exceed imports by more than \$5 billion?

Indicate all such years. Which of the following is closest to the average (arithmetic mean) of the 9 changes in the value of imports between consecutive years from 2000 to 2009 ? In 2008 the value of exports was approximately what percent greater than the value of imports? 25000 +道题目

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