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Organizations F and G have 20,000 and 30,000 members, respectively. The combined membership of the two organizations is 45,000. If one member of organization F is to be randomly selected, what is the probability that the member selected will also be a member of organization G?


In the rectangular coordinate system shown, how many points on line segment PR have coordinates $$(x, y)$$, such that both $$x$$ and $$y$$ are integers?
A certain club has 140 members. The January meeting of the club was attended by 80 percent of the members, and the February meeting was attended by 124 members.

Quantity A

The number of members of the club who attended both meetings

Quantity B

$$104$$


A bag contains a total of 12 bagels consisting of 5 plain bagels, 3 garlic bagels, and 4 cinnamon raisin bagels. If 2 bagels are to be selected at random from the bag without replacement, what is the probability that both bagels will be garlic bagels?

Give your answer as a fraction.
For a certain price, the buyer of a set of playground equipment must choose any 3 of 5 large pieces of equipment and any 4 of 5 small pieces of equipment. How many different sets of large and small pieces are available to the buyer for that price?
How many positive integers less than 20 can be written as the product of two distinct prime numbers?
If $$n$$ is an integer greater than $$2$$, which of the following could be a prime number?
A survey was given to a sample of residents in a certain town to determine the level of interest in creating a new park. Of those residents in the sample, 50 percent responded they were in favor of the park and 30 percent responded they were not in favor of the park. The remaining 20 percent of the sample did not respond to the survey.

Which of the following statements individually provide(s) sufficient additional information to determine the number of residents in the sample?

Indicate all such statements
In a legislature with 360 members, each member is in one of two political parties, either A or B. Party A has 110 members, and Party B has 250 members. In order for a certain bill to pass in the legislature, at least two-thirds of all the members must vote in favor of the bill. If 50 percent of the members of Party A and $$p$$ percent of the members of Party B will vote in favor of the bill, what is the least value of $$p$$ for which the bill will pass?
According to the passage, the boxes of public opera houses served to
abc=1

$$abc^{2} \gt 1$$

Quantity A

$$ab$$

Quantity B

$$1$$


A game involves $$52$$ playing chips, which are either blue, red, or white. The number of blue chips is $$\frac{1}{2}$$ the number of red chips, and the number of white chips is $$\frac{2}{3}$$ the number of red chips. Which of the following statements are true?
Indicate all such statements.
For the film with the highest ticket sales since its release, what were the average ticket sales per week since its release?
For how many of the films released earlier than Film $$C$$ were the ticket sales since the film's release less than the ticket sales for Film $$C$$ since Film C's release?
In Vermont the number of acres of forest area in 1992 was $$76.5$$ percent of the total number of acres of land area. Which of the following is closest to the number of millions of acres of land area in Vermont?
For Maine, which of the following is closest to the average annual increase in the number of acres of forest area from 1907 to 1992?
The number of acres of forest area in Rhode Island in 1992 was what percent greater than it was in 1907?
For the period shown, which of the following statistical measures of the Mexico Index are greater than the corresponding measures of the World Index?
When the difference between the World Index and the Mexico Index was greatest, approximately what was the ratio of the World Index to the Mexico Index?
Of the following, which is closest to the percent decrease in the Mexico Index from the beginning of December 1994 to the end of December 1994?

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