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题目内容
What is the product of the different positive prime factors of $$3,528$$?
The mean of the values in a data set is 40, and the standard deviation of the values is d. The value 50 is 2 more standard deviations above the mean than the value 42 is. What is the value of d?
Tatiana played a number of games of chess last month, and each game resulted in a win, draw, or loss. The ratio of the number of wins to the number of draws to the number of losses was 5 to 9 to 3. If Tatiana won 6 more games than she lost, how many games of chess did she play last month?
If one letter will be randomly selected from the word $$UTAH$$ and one letter will be randomly selected from the word $$MAINE$$, what is the probability that the two letters selected will not be the same?


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)

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