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题目内容
If a four-digit number is to be formed from the digits 1, 2, 3, and 4 by selecting each digit at random and using each digit only once, what is the probability that the number formed will be greater than 3,000?
For all bookstores in 1996, approximately what was the average (arithmetic mean) book sales per store?
In 1996, companies G, H, and K owned a total of 110 bookstores. If beginning in the first half of 1997, these three companies were to purchase a total of 15 of the remaining 1996 bookstores every half year, what is the first year in which all of the 1996 bookstores would be owned by these three companies?
If the total annual booksales in 1992 was $50.0 milion and if this total increased by at least $1.0 milion annually from 1992 to 1996, what was the greatest possible annual increase in this total from 1992 to 1996?
$$k > 0$$

Quantity A

The volume of a hemisphere (half of a sphere) that has radius $$k$$

Quantity B

The volume of a right circular cylinder that has height $$k$$ and whose base has radius $$k$$
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?
n is an integer and $$(n-5)^{9-n}=1$$.

Quantity A

n

Quantity B

4
A monument is constructed on level ground in the shape of a pyramid with a square base. If each edge of the monument is 10 meters long, how many meters above the ground is the tip of the monument?
What fraction is equivalent to the repeating decimal $$0.2\grave{7}$$ (7 being repeated)?
A certain distribution of 6 temperatures $$t_1$$, $$t_2$$, $$t_3$$, $$t_4$$, $$t_5$$, $$t_6$$ has a standard deviation of 2.14 degrees Celsius. Which of the following distributions of temperatures must also have a standard deviation of 2.14 degrees Celsius?

Indicate all such distributions.
Positive integers m and k are to be chosen such that $$\frac{m}{5} < k < \frac{m}{3}$$

Quantity A

The least possible value of k

Quantity B

1
x < 1 < y and x ≠ 0

Quantity A

$$x^{-1}$$

Quantity B

$$y^{-1}$$


The tick marks shown on the number line are equally spaced. What is the coordinate of the tick mark shown that has the least coordinate that is greater than 0.3?
$$\frac{6}{3.6}=\frac{x}{4.2}$$

Quantity A

x

Quantity B

7.4
Let n be a positive four-digit integer with digits a, b, c, and d, in order from left to right, and let q be a positive three-digit integer with digits a, a+b, and a+b+c+1, in order from left to right, where a+b+c+d=9.

Quantity A

$$\frac{n}{9}$$

Quantity B

q
Based on the trend line, which of the following is closest to the average annual rate at which the inflation-adjusted minimum wage increased from October 1990 to October 1999?
Another trend line is to be drawn for the actual minimum wages, passing through the data points for October 1990 and October 1999. If the new trend line is used to predict the minimum wage in October 2009, approximately what would be the predicted minimum wage, in dollars per hour?
Kate and Paul each drove the same distance in separate cars, Kate at an average speed of 55 miles per hour and Paul at an average speed of 50 miles per hour. Paul drove the distance in 5 hours.

Quantity A

The amount of time it took Kate to drive the distance

Quantity B

4 hours

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