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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 $$w \geq 30$$. 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?
Jamie claimed that if n is a positive integer, then $$4n^{2}- 3$$ must be a prime number. Which of the following values of n could be used as a counterexample to show that Jamie's claim is not true?

Indicate all such values.
How many positive integers less than or equal to 29 can be expressed as the product of two different integers greater than 1?
The integer k is the product of four different prime numbers. If k divided by 22 is a multiple of 13, which of the following could be equal to k divided by 11?
$$x \gt 0$$

Quantity A

$$\frac{1}{9}$$ of $$x$$

Quantity B

$$11$$ percent of $$x$$
What is the least integer that can be expressed as a product of four different integers, each of which has a value between -5 and 4, inclusive?
The product of nine consecutive integers is 0.

Quantity A

The sum of the nine integers

Quantity B

30
Other than 1 and 225, how many different positive integers are factors of 225?
$$r=(2^{3})(3^{4})(5^{6})$$

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

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?

Quantity A

The area of triangular region A

Quantity B

The area of triangular region B
List L consists of at least 20 numbers, and the average (arithmetic mean) of the numbers in L is 25. If an additional number x is included in the list, the average of the numbers in L will increase by 2.

Quantity A

x

Quantity B

60

Quantity A

$$(0.001)^{-1}+(0.999)^{-1}$$

Quantity B

$$(0.002)^{-1}+(0.998)^{-1}$$
For all positive integers x and y, the operation $$\odot$$ is defined by x$$\odot$$y=$$x^{-y}$$.

Quantity A

$$(2\odot2)^{3}$$

Quantity B

$$(2\odot3)^{2}$$

Quantity A

380(y+6)

Quantity B

380(у+4) + 380(у+2)
If $$x$$ is a positive integer and $$x \gt 5$$, which of the following could be the units digit of $$19^{x}$$?

Indicate all such digits.


In the figure shown, the area of the circular region is approximately 50 percent of the area of the shaded region. The area of the rectangular region is approximately what percent of the area of the circular region?
Which of the following inequalities is consistent with the statement that the time it took train K to travel $$r$$ miles at a constant rate of $$s$$ miles per hour is less than the time it took train M to travel $$y$$ miles at a constant rate of $$z$$ miles per hour?
The total annual per capita consumption of ice cream and cheese combined in 1950 was approximately what percent of that in 1990 ?

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