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题目内容
A number is to be randomly selected from the set of prime numbers that are less than 50. What is the probability that the number selected will be greater than 29?
If $$(25*10^{12})+(150*10^{10})+(3,100*10^{8})=n * 10^{13}$$, what is the value of n?
Points P, Q, R, and S are consecutive vertices of a square in the xy-plane,where the coordinates of P are(2, 2).

Which of the following statements individually provide(s) sufficient additional information to determine the area of the square?

Indicate all such statements.


The figure shows two identical right circuiar cones of radius $$r$$ and height $$h$$ inside a right circular cylinder of radius $$r$$ and height $$2h$$. What is the volume of the region inside the cylinder but outside the two cones? (Note: The volume $$V$$ of a right circular cone is given by $$V=\frac{1}{3}πr^2h$$, where $$r$$ is the radius of the base and $$h$$ is the height of the cone.)
In the xy-plane, the point $$P(2, 0)$$ lies on a line with equation $$y=mx+b$$, where $$m$$ and $$b$$ are constants. The slope of the line is $$-\frac{1}{2}$$.

Quantity A

The y-intercept of the line

Quantity B

2
List L consists of 21 integers and list M consists of 35 integers. For the integers in L, the average (arithmetic mean) is 20 and the median is 25. For the integers in M, the average is 30 and the median is 25. List K consists of the 56 integers in lists L and M combined.

Quantity A

The average of the integers in K

Quantity B

The median of the integers in K
$$\frac{a-b}{a+b}=\frac{a+b}{a-b}$$

Quantity A

$$a$$

Quantity B

$$b$$
At the beginning of a certain year, a new savings account was opened with a $1,000 deposit.The account earned interest at an annual rate of r percent, compounded annually, and there were no other transactions in the account during the first 2 years after it was opened.

Quantity A

The amount of interest that the account earned during the 2nd year alone

Quantity B

10r dollars

Quantity A

$$100!+99!$$

Quantity B

$$\frac{101!}{100}$$
The repeating decimal $$0.9\overline{63}$$ is equivalent to the fraction $$\frac{x}{y}$$, where x and y are positive integers whose greatest common factor is 1.

Quantity A

x+y

Quantity B

150
What fraction is equivalent to the repeating decimal $$0.0\dot{1}$$?
Quadrilateral EFGH is inscribed in a circle such that side FG is a diameter of the circle.

Quantity A

The area of EFGH

Quantity B

$$\frac{1}{4}$$ the area of the circle


The graphs show the cumulative relative frequency for the values in data set A and the values in data set B, where the cumulative relative frequency of each value v is the sum of the relative frequencies of the values less than or equal to v. If x percent of the values in A are less thar or equal to 20 and y percent of the values in B are less than or equal to 20, which of the following is the best estimate of x-y?
A firewood seller assembled a 440-piece bundle of firewood. Each piece of firewood in the bundle was one of two types: high quality or medium quairty. The ratio of the number of high-quality pieces to the number of medium-quality pieces was 8:3. How many high-quality pieces were in the bundle of firewood?
Let $$n$$ be a positive integer less than 1,000, and let $$k$$ be the remainder when $$16^n$$ is divided by 100. For how many values of $$n$$ is $$k$$ equal to 96?
Each of trapezoids B and C has two adjacent right angles and bases that are two opposite parallel sides. The distance between the bases of B is the same as the distance between the bases of C. One base of B is twice as long as the other base of B.The shorter base of C is half as long as the shorter base of B, and the longer base of C is twice as long as the longer base of B. What is the ratio of the area of B to the area of C?
How many positive integers lesss than or equal to 770 are neither multiples of 7 nor multiples of 11?
Let S be a list of 5 positive integers. For the integers in S, the average (arithmetic mean) is 6, the median is 4, and the unique mode is 3. What is the greatest possible value of the range of the integers in S?
George invested $1,000 at a simple annual interest rate of 5 percent, earning a total of x dollars in interest for the first two years of the investment. Mary invested $1,000 at an annual interest rate of 5 percent compounded annually, earning a total of y dollars in interest for the first two years of the investment.

Quantity A

y-x

Quantity B

5

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