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The cast of a certain play has 2 male characters and 2 female characters. The director of the play will select the 2 male characters from 6 male actors and the 2 female characters from 8 female actors. How many different sets of 4 actors, consisting of 2 male actors and 2 female actors, are there that can be selected by the director?
A certain group of 10 people consists of 5 men and 5 women. From this group, 2 people are to be selected at random. The probability that the 2 people selected will consist of 1 man and 1 woman is equal to p. Quantity A p Quantity B $$\frac{1}{2}$$
For all bookstores in 1996, approximately what was the average (arithmetic mean) book sales per store?
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?
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.
A quadratic equation of the form $$x^2-cx+d=0$$, where $$c$$ and $$d$$ are constants, has solutions 2 and 7. What is the value of $$d$$? _____
In the figure shown, O is the center of the circle and $$x$$ and $$y$$ are the lengths of two line segments. Quantity A The radius of the circle Quantity B $$\frac{x+y}{2}$$
On a scaled map, the point for the geographical center of City A is 4 inches from the point for the geographical center of City B, and the point for the geographical center of City B is 2 inches from the point for the geographical center of City C. The actual distance from the geographical center of City A to the geographical center of City B is 500 miles. Which of the following values could be the actual distance, in miles, from the geographical center of City A to the geographical center of City C? Indicate all such values.
According to the data in the graph, approximately what is the average (arithmetic mean) annual decrease from 1980 to 1995 in the list price of a Brand X microcomputer?
Two metal cans are right circular cylinders of different sizes. The interior base of can A has an area of 5π square inches, and the height of the oil in can A is 6 inches. The interior base of can B has an area of 10π square inches, and the height of the oil in can B is 2 inches. Oil is to be moved from can A to can B so that the height of the oil will be the same in both cans. Which of the following is closest to what will be the new height of the oil, in inches?
A certain type of code is a list of 4 identical asterisks and 2 identical dots in any order. For example, *••* is one such code. Quantity A The number of possible codes of this type Quantity B 15
$$0 < x^y < 1$$ $$y$$ is an integer Quantity A $$y$$ Quantity B 0
Machines A, B, and C produce widgets at their respective constant rates. Machine A produces $$n$$ widgets in $$x$$ hours, machine B produces $$n$$ widgets in $$2x$$ hours, and machine C produces $$n$$ widgets in $$3x$$ hours. In terms of $$x$$, how many hours does it take the three machines, working simultaneously at their respective constant rates to produce $$n$$ widgets?
A bus traveled $$m$$ miles in $$h$$ hours at an average speed of $$r$$ miles per hour. If the number of hours traveled by the bus had been 20 percent greater and the average speed had been 20 percent less, then the distance traveled by the bus would have been what percent less? _____%
$$P$$ and $$Q$$ are regular polygons with $$n$$ sides and $$n+1$$ sides, respectively. Quantity A The median of the $$2n+1$$ measures of the interior angles of $$P$$ and $$Q$$ Quantity B $$(\frac{n-1}{n+1})180°$$
Pam, Steve,and Adrian each had a party. The number of people at Pam's party was 6 more than the number of people at Steve's party. The number of people at Steve's party was 8 fewer than the number of people at Adrian's party. No one attended more than one of the three parties. If the total number of people at the three parties was 89, what was the number of people at Adrian's party?
A certain triangle has sides of lengths 5, 12, and $$x$$. Which of the following could be the value of x? Indicate all such values.
At a certain location, the high temperatures for the past seven days, in degrees Fahrenheit, were 76, 66, 61, 54, 59, $$x$$, and 70. Which of the following values could be the median of the high temperatures, in degrees Fahrenheit? Indicate all such values.
Square GBDF is inscribed in the isosceles right triangle ACE. Quantity A The area of triangular region ABG Quantity B $$\frac{1}{4}$$ of the area of triangular region ACE
Of the 29 students in a class, 15 students study French, fewer than 16 students study Spanish, and 5 students study neither French nor Spanish. Which of the following could be the number of students in the class who study both French and Spanish? Indicate all such numbers.

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