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题目内容
The average (arithmetic mean) of the measurements in a large sample is 46.2. The average of the greatest 30 percent of the measurements is 56.5, and the average of the least 30 percent of the measurements is 30.5. What is the average of the remaining 40 percent of the measurements?
A person whose age is closest to the median of the ages of all people in the sample is in which age-group?
For how many of the age-groups is the number of people who use Platform $$B$$ greater than 300?
Which of the following statements are true?
Indicate all such statements.
Of all the passengers carried in June 2007 by the airlines shown, approximately what fraction was carried by Airline $$A$$?
For the airlines shown, what was the median of the percents of flights that were not on time in June 2007?
For which of the airlines shown was the average number of passengers per flight in June 2007 greatest?

The table shows the percent distribution of the 1,500 members of a sports club according to the amount of time they Spent exercising yesterday.

Quantity A

The number of club members who exercised between 1 hour and 1 hour 40 minutes yesterday

Quantity B

300
The volume of a cube with each side of length $$3\sqrt{2}$$ is equal to the volume of a right circular cylinder with height $$3\sqrt{2}$$. The radius of a base of the cylinder is $$r$$.

Quantity A

$$r^2$$

Quantity B

$$6$$


In the preceding figure, $$PQ$$ is a diameter of the circle with center $$O$$, and $$PQ$$ has length 10. The lengths of line segments $$AP, AQ, BP$$ and $$BQ$$ are $$a, b, c$$ and $$d$$,respectively. Which of the following statements must be true?
Indicate all such statements
On a flat lawn, a sprinkler watered a circular region. The sprinkler used 0.623 gallon of water per square foot of lawn. If the radius of the circular region was between 6 feet and 8 feet, which of the following could be the total number of gallons of water that the sprinkler used?
Indicate all such numbers.
Two sprinklers, $$R$$ and $$T$$, disperse water over separate circular regions. Sprinkler $$R$$ covers a circular region with a radius of 18 feet, while sprinkler $$T$$ covers a circular region with a radius of 4 feet. What is the ratio of the area of the region covered by sprinkler $$R$$ to the area of the region covered by sprinkler $$T$$?

The figure above shows a rectangular construction site that is enclosed on three sides by a fence that is 250 feet in length and on one side by 100 feet of river bank. What is the area, in square feet, of the site?
A complete graph is a configuration of points and line segments such that every pair of points is connected by a line segment. Which of the following is NOT a complete graph?

Quantity A

The area of a quadrilateral with a perimeter of 18

Quantity B

The area of a quadrilateral with a perimeter of 20
A triangular road sign with a horizontal base was redesigned as a smaller triangular road sign with a horizontal base. The base of the smaller sign is $$\frac{1}{4}$$ of the base of the original sign. The height corresponding to the base of the smaller sign is $$\frac{2}{3}$$ of the height corresponding to the base of the original sign. The area of the smaller sign is what fraction of the area of the original sign?

In the figure above, the length of line segment $$BE$$ is 16. What is the length of line segment $$AC$$?

In triangle $$ACE$$, point $$D$$ is the midpoint of side $$CE$$.

Quantity A

The sum of the perimeters of triangles $$ABF$$ and $$BCD$$

Quantity B

The perimeter of triangle $$ACE$$

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