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In plane P, point Q is on line l.

Quantity A

The number of points in plane P whose distance from line l is 2 and whose distance from point Q is 3

Quantity B

4




In the xy-plane, the points (-2, 3) and (6, -3) lie on a circle, and the line segment connecting the points is a diameter of the circle. What is the area of the circle?


Quantity A

The length of line segment AB

Quantity B

The length of line segment DC


Polygon P has n sides (n>4).

Quantity A

180 more than the sum of the degree measures of the interior angles of P

Quantity B

The sum of the degree measures of the interior angles of a polygon with n+1 sides


If the length of two sides of a triangle is 5 and 12, then which of the following could be the length of the third side?

Indicate all such possible values.


The figure above shows a ceramic tile in the shape of an equilateral triangle with sides of length 12 inches. Parts of the tile are gray, as represented by the shaded regions, and the rest of the tile is white. The equilateral triangle in the middle of the tile has sides of length 9 inches and consists of nine congruent equilateral triangles. What fraction of the area of the tile is gray?
Parallelogram ABCD has adjacent sides of length 10 and 16.

Quantity A

The area of the region enclosed by ABCD

Quantity B

155


The length of each side of quadrilateral ABCD is 5.

Quantity A

The length of diagonal AC

Quantity B

5


In the ceiling of a room, an opening was cut in the shape of a square with sides that are 1 foot in length. A circular fixture will be placed over the opening. If the circular fixture covers the square opening completely, which of the following could be the diameter of the circular fixture. in inches? (Note: 1 foot = 12 inches)

Indicate all such diameters.


In the xy-plane shown, the circle is centered at the origin. Line $$l$$ passes through the origin and the point (3, 4). Line $$m$$ is tangent to the circle at the point (3, 4). What is the the x-intercept of line $$m$$?

Give your answer as a fraction.
The larger of two right circular cylindrical containers has an inside radius of 3 inches, and the smaller has an inside radius of 1.5 inches; each of the containers has an inside height of 10 inches. If the smaller container were filled with water until the depth of the water was 9 inches, and then its water were poured into the empty larger container, what would be the depth of the water, in inches, in the larger container?
In Orange County, the number of acres available for development in 2000 was approximately what fraction of the total land area of the county? (1 square mile=640 acres)
Which of the following represents the number of square miles of land that was available for development in Seminole County in 2000? (1 acre=43,560 square feet and 1 mile = 5,280 feet)
Of customers 4, 6, 8, 9 and 10, which one was served by the customer service representative who served customer 1?
According to the recorded times, which customer had the greatest ratio of waiting time to service time?
What was the range of the recorded service times, in minutes, for the 15 customers?
The sum of 101 consecutive even integers is 20,200.

Quantity A

The average (arithmetic mean) of the 101 integers

Quantity B

The median of the 101 integers




Listed above are the 16 grades on a chemistry examination before they were adjusted. The chemistry professor adjusted the grades by adding 8 points to each grade that was less than 60, adding 6 points to each grade that was at least 60 and less than 80, and adding 2 points to each grade that was at least 80. What was the range of the adjusted grades?


The random variable X has the standard normal distribution with a mean of 0 and a standard deviation of 1, as shown. Probabilities, rounded to the nearest 0.01, are indicated for the six intervals shown. The random variable Y has a normal distribution with a mean of 2 and a standard deviation of 1. Using the probabilities shown, approximately how much greater is the probability that the value of Y is between 1 and 2 than the probability that the value of X is between 1 and 2?

Quantity A

$$\frac{100!}{99!}$$

Quantity B

$$\frac{ (100!-99!)}{98!}$$


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