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If 3 different points are to be chosen at random from the 7 points shown on the circle, what is the probability that the 3 points will be the vertices of a triangle?
According to the neo-Whig scholars as described in the passage, which of the following were motives for the American Revolution?
On a certain map, 1 centimeter represents 5 kilometers. On the map, region X has an area of 6.4 square centimeters.

Quantity A

The actual area of region X

Quantity B

150 square kilometers


Experiments with animal behavior have sometimes been handicapped by scientists' ____________ approach: the animals are tested in ways that work fine with humans but not so well with other species.
The author argued that a relentless focus on political scandal was making it hard for even the least ____________ politicians to maintain their faith in the nobility of public service.
The dollar value of a certain antique in 1980 was 20 percent greater than its dollar value in 1976. The dollar value of the antique in 1984 was 76 percent greater than its dollar value in 1976.

Quantity A

The percent increase in the dollar value of the antique from 1980 to 1984

Quantity B

56%


The ratio of the lengths of the sides of a triangle is 3 to 4 to 5. If the area of the region enclosed by the triangle is 54, what is the perimeter of the triangle?
If $$n$$, $$k$$, and $$r$$ are positive integers such that $$n^{k}=10r+3$$, which of the following could be the value of $$n$$?
The primary purpose of the passage is to
a < 0

b < 0

Quantity A

In the xy -plane, the slope of the line containing the points (a, b) and (0, 2)

Quantity B

In the xy -plane, the slope of the line containing the points (a, b) and (2, 0)




A survey conducted by the department of motor vehicles on a sample of 200 car owners revealed that 15 percent of the sample had an expired driver's license, 10 percent had one or more outstanding parking tickets, and 78 percent had neither an expired driver's license nor any outstanding parking tickets. How many car owners in the sample had both an expired driver's license and one or more outstanding parking tickets?
Last year, the price of commodity X was 23 percent less at the end of September than at the beginning of the year, and the price of commodity X was 23 percent greater at the end of the year than at the end of September.

Quantity A

The price of commodity X at the beginning of last year

Quantity B

The price of commodity X at the end of last year




Six identical marbles are to be distributed among 4 cups numbered 1 through 4 so that in the resulting distribution there will be at least one marble in each cup. How many different distributions are possible?
The sequence $$a_1$$, $$a_2$$,.......$$a_n$$......... is defined by $$a_1$$=1, $$a_2$$=1, and $$a_n$$= $$a_{n-1}$$+ $$a_{n-2}$$ for all integers $$n ≥ 3$$. Which of the following values are terms of the sequence?

Indicate all such values.
A store is shipping 7 items to a single address. The items can be packed into 1, 2 or 3 different containers for shipping. If a container is used for shipping, it must be packed with at least 2 items. Which of the following statements about the different combinations of packing must be true?

Indicate all such statements.
Between 1975 and 2005 water use in the United States declined just as the population rose, showing the old assumption that total water consumption is positively correlated with population growth to be _______.
$$\frac{x^{3}}{y^{6}}$$=$$\frac{1}{27}$$

Quantity A

3x

Quantity B

$$y^{2}$$






Points A, B, C, and D are equally spaced on line segment AD, as shown. If $$\frac{1}{3}$$ of segment AB, all of segment BC, and $$\frac{2}{5}$$of segment CD were removed, what fraction of segment AD would remain?
Of the following, which best represents the graph of the function $$y=(x^{2}-x)(x-2)$$ $$?$$

The artists sought to (i)____________ precisely the impulses that traditional or generally accepted thinking had (ii)___________. By cultivating instinctive, irrational awareness--which might come from dreams or from accepting results derived by chance or from a receptivity to taboo-they hoped to(iii)____________their audience`s sense of everyday reality.

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