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A certain machine that produces copies of pictures has settings of 60 percent, 80 percent, 100 percent, 150 percent, and 200 percent, where each setting indicates the dimensions of the copy as a percent of the corresponding dimensions of the original picture. Which of the following combinations of settings could be used to make a second copy of a first copy of an original picture for which the dimensions of the second copy are 120 percent of the corresponding dimensions of the original picture?

Indicate all such combinations.

Quantity A

$$3^{-8}-3^{-9}-3^{-10}$$

Quantity B

$$3^{-9}$$


Set S consists of 8 positive integers, 3 of which are odd, and 5 of which are even.

Set T consists of all numbers of the form $$x+x^2$$, where x is a member of set S.

Quantity A

The number of even integers in set S

Quantity B

The number of even integers in set T


Event E and event F are independent. $$p$$ is the probability that event E will occur. $$q$$ is the probability that event F will occur.

Quantity A

The probability that both events E and F will occur

Quantity B

$$pq$$


List L consists of 82 consecutive odd integers.

Quantity A

The range of the integers in list L

Quantity B

164


If the average (arithmetic mean) of 4 consecutive odd integers is $$m$$, what is the greatest of these integers?
If the sum of five consecutive even integers is $$y$$, what is the least of the five integers, in terms of $$y$$?
When asked what their major staffing issues were, 42 percent of the companies in a survey said "finding competent staff" and 18 percent of the companies in the survey said “training staff." If 15 percent of the companies in the survey said that both of the issues were major staffing issues, what percent of the companies in the survey said that neither of the two issues was a major staffing issue?

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