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题目内容
A bag contains 13 blue pens and 3 red pens. Two pens are to be randomly selected from the bag, one at a time and without replacement. What is the probability that both of the pens selected will be blue?


The figure shows a circle with center $$O$$ . If the measure of angle $$ORP$$ is 21.5 degrees, what is the measure of angle $$PQR$$ ?
(Note: The measure of an angle inscribed in a circle is equal to half the measure of the central angle that subtends the same arc.)
In the rectangular solid shown, $$BF=5$$ and $$AF=3$$ . If the volume of the rectangular solid is 84, what is the sum of the areas of $$△FGH$$ and $$△DEH$$ ?
What is the greatest possible percent of people surveyed who use all of the methods listed?
If 30 percent of the people surveyed use both of the methods "exercise near home or work" and "exercise outdoors", what percent of people surveyed use at least one of the two methods?
The number of people surveyed who use the method "join a health club" is what percent greater than the number who use the method"exercise with friends or family"?

_____%
In the xy-plane, line $$k$$ passes through points $$(-2, 6)$$ and $$(4, 3)$$. What is the $$y$$-intercept of line $$k$$?
A group of computer users received an e-mail offering information about a computer service. Only 16 percent of the users responded to the offer for information. Eventually 46 of the users purchased the service, which represented 5 percent of those who responded to the offer for information. How many computer users received the e-mail offering information about the service?

The 16 tick marks shown on the number line are equally spaced, and $$p$$, $$w$$, and $$q$$ are negative.

Quantity A

$$\frac{p+q}{2}$$

Quantity B

$$w$$


$$x+y \lt 3$$

Quantity A

$$|x+y+3|$$

Quantity B

$$6$$


A rectangular garden was altered by increasing its length by 10 percent and decreasing its width by 10 percent. What effect did the alteration have on the area of the garden?
Car $$A$$ and car $$B$$ were each driven on a 300-mile trip during which car $$A$$'s mileage was $$40$$ miles per gallon of gasoline and car $$B$$'s mileage was $$30$$ miles per gallon of gasoline. The gasoline used on the trip for car $$A$$ cost $$$4.00$$ per gallon, and the gasoline used on the trip for car $$B$$ cost $$$3.50$$ per gallon.

Quantity A

The total cost of the gasoline used on the trip for car $$A$$

Quantity B

The total cost of the gasoline used on the trip for car $$B$$


$$k$$ is a positive integer.

Quantity A

$$(\frac{1}{5})^{-k}$$

Quantity B

$$(\frac{1}{2})^{-2k}$$



The coordinates $$(x, y)$$ of each point in the shaded region shown in the xy -plane above satisfy which of the following inequalities?
In the xy-plane, which of the following points are in the triangular region with vertices $$(0, 0)$$, $$(3, 0)$$ and $$(3, 2)$$?
Indicate all such points
Line segment $$PQ$$ is tangent to the circle at $$P$$.

Quantity A

The distance between $$Q$$ and the center of the circle

Quantity B

The length of line segment $$PQ$$




The measure of angle $$BAC$$ is greater than $$90$$ degrees.

Quantity A

The length of $$BC$$

Quantity B

$$8$$


The length of a line segment joining the midpoints of two sides of equilateral triangle $$T$$ is $$1$$. What is the length of a side of equilateral triangle $$T$$?


Quantity A

$$x$$

Quantity B

$$y$$


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