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The table above lists the rainfall, in centimeters, for June, July, and August in selected cities. Based on the information given,which of the following statements are true?

Indicate all such statements.


Quantity A

The standard deviation of the distribution of X

Quantity B

The standard deviation of the distribution of Y


For each number $$x$$ in a list of numbers with mean $$m$$, the squared deviation of $$x$$ from the mean is defined as $$(x-m)^2$$. The variance of the numbers in the list is defined as the mean of the squared differences.

Quantity A

The variance of the numbers 3, 9, and 15

Quantity B

9 times the variance of the numbers 1, 3, and 5


w > 0

Quantity A

$$2w^3$$

Quantity B

$$3w^2$$


x ≠ 0

Quantity A

$$\frac{\sqrt[3]{54x^5}-\sqrt[3]{16x^5}}{x(\sqrt[3]{128x^2}-\sqrt[3]{16x^2})}$$

Quantity B

$$\frac{1}{2}$$


Yesterday at a certain currency exchange center,p Mexican pesoswere equal in value to w United States dollars, and x euros were equal in value to y United States dollars.Which of the following represents the number of Mexican pesos that were equal in value to z euros at the currency exchange center yesterday?
|x+4| < 5 and |y-10| < 1

Quantity A

y-x

Quantity B

7


The remainder when the positive integer n is divided by 7 is 2.

Quantity A

The remainder when 2n is divided by 7

Quantity B

The remainder when n is divided by 14


In rectangles $$JKLM$$ and $$QRST$$, $$\frac{QR}{JK}$$=1.1, and $$\frac{RS}{KL}$$=0.9.

Quantity A

The perimeter of $$JKLM$$

Quantity B

The perimeter of $$QRST$$


If $$x=k^2n^3p$$ and $$y=k^3np^2$$, where $$k$$, $$n$$, and $$p$$ are different prime numbers, which of the following is the least common multiple of $$x$$ and $$y$$?
A bank offers two types of reward programs for its credit card customers, where a certain percent of the amount of each purchase made using the credit card is paid back to the customer. The first program has no annual fee and pays back 1 percent of the amount of each purchase. The second program has an annual fee of $200 and pays back 1.6 percent of the amount of each travel purchase and 1.1 percent of the amount of each of the other purchases. A customer's annual reward is equal to the total amount paid back to thecustomer annually minus the annual fee. If the amount of all purchases made by a customer using the credit card during a year is $50,000, what is the amount of travel purchases for which the customer's annual reward under the first program will be equal to the customer' s annual reward under the second program?
Each of two pumps delivers water into a tank at a constant rate of 30 liters per minute, and a third pump removes water from the tank at a constant rate of 15 liters per minute. If the three pumps start working simultaneously when the tank is filled to half of its capacity and continue working until the tank is full, it will take 12 minutes to fill the tank. What is the capacity, in liters, of the tank?
Triangle T is a right isosceles triangle. If the length of at least one side of triangle T is $$6\sqrt{2}$$, which of the following values could be the area of triangle T?

Indicate all such values.
n > 1

When the integer n is divided by 6, the remainder is 1, and when n is divided by 8, the remainder is also 1.

Quantity A

The least possible value of n

Quantity B

49




The table shows the frequency distribution of the values in a list, where n is a positive integer such that n ≤ 100.

Quantity A

The average (arithmetic mean) of the values in the list

Quantity B

3.45




Which of the following is closest to the ratio of the expenditures for household operation services to the expenditures for nondurable goods?

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