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For how many of the five response categories in the table was the number of responses less than 750?
A college professor took attendance for the first 10 days of a class last semester. The professor noticed that Sarah attended class on 8 of those days, Andrew attended class on 7 of those days, Jeff attended class on 6 of those days, and on only 1 of those days did all three students attend class. On how many of the 10 days did at least two of the three students attend class?

_____days
At a college graduation ceremony, there will be 5 speakers seated in a row of 5 seats on a stage. One of the speakers is the president of the college. In how many of the 120 possible seating arrangements for the 5 speakers is the president seated in the third seat in the row?

_____seating arrangements
$$\frac{(2+\frac{1}{2})^{4}-2^{4}}{(2+\frac{1}{2})^{2}+2^{2}}$$=


Of the employees in the 2001 workforce who were hired in 1997, 40 percent were hired to fill positions in a new subdivision of Company I. Approximately how many of the employees in the 2001 workforce were hired in 1997 to fill positions in the new subdivision?
If $$n$$, $$k$$, and $$r$$ are positive integers such that $$n^{k}=10r+3$$, which of the following could be the value of $$n$$?
For a class of more than 100 students, a teacher has calculated the grades of 100 students, and 22 of those grades were A's. If all of the students whose grades remain to be calculated will receive A's and a total of 25 percent of the entire class will receive A's, then how many students' grades remain to be calculated?
$$1,575$$ = ($$3^{2}$$) ($$5^{2}$$) ($$7$$)

How many positive factors does the integer $$1,575$$ have, including the factors $$1$$ and $$1,575$$?
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.
A circle is inscribed in a square. If a point is to be chosen at random from the square region, what is the probability that the point chosen will lie inside the circular region?
The repeating decimal $$1.\overline{ab}$$, where a and b are different digits, is equivalent to the fraction $$\frac{n}{d}$$, where n and d are positive integers whose greatest common factor is 1. What is the greatest possible value of n+d ?


A group of 100 employees was ranked on a scale from 1 to 5, as shown in the table.

Quantity A

The average (arithmetic mean) rank of the 100 employees

Quantity B

3.00




The variables x and y are related by a linear equation. If y increases by 4 whenever x increases by 1, which of the following equations could represent the relationship between x and y?

Indicate all such equations.
Darrell has a collection of 40 DVDs, each of which contains one movie. There are 17 comedy movies, 14 fantasy movies, and 9 historical movies, where each historical movie takes place in a separate time period. The movies will be ordered on a shelf from left to right so that the movies of each type comedy, fantasy and historical are in a single group of consecutive movies. In addition, the historical movies will be ordered from earliest time period to latest time period. How many possible orderings of the movies are there?


The table shows the relative frequency distribution of the numbers in data set B. Which of the following boxplots is a summary of the numbers in data set B?

A rectangular piece of sheet metal has a width of w centimeters, where w ≥ 30. The length of the sheet metal is 3.5 times its width. If squares with sides of length 10 centimeters are removed from each corner of the sheet metal and the sides are folded up to make an open box, what is the volume of the box?
$$r=(2^{3})(3^{4})(5^{6})$$

$$s=(11^{3})(13^{4})(17^{6})$$

Quantity A

The number of different positive factors of r

Quantity B

The number of different positive factors of s


How many of the eleven integers greater than $$10^{7}$$ and less than $$10^{7}$$+12 are divisible by 11?
List A contains a certain number of consecutive integers including 2. The sum of all the integers in List A is 11.

Quantity A

The number of integers in List A

Quantity B

10


A certain team has fewer than 50 members. If all the members are divided into groups of 3 members each. there will be 2 members left over. If all the members are divided into groups of 5 members each, there will also be 2 members left over. If all the members are divided into groups of 4 members each, there will be no members left over. If 3 of the members are unavailable and the remaining members are divided into groups of 5 members each, how many members will be left over?

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