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题目内容
If $$x^{2}$$=b and $$ y^{2}$$=q, where x and y are greater than 0, which of the following is equal to $$(x+y)^{2}$$?
The standard deviation of m numerical data $$ x_{1}, x_{2}, x_{3}, ..., x_{n}$$, With mean $$\bar{x}$$ is equal to $$\sqrt{\frac{S}{n}}$$, where S is the sum of the squared differences $$(x_{i}-\tilde{x})^{2}$$, for 1 ≤ i ≤ n.

On a certain examination, 7 students received scores of 85, 90, 70, 90, 75, 90, and 95. For the 7 scores, the mode was approximately how many standard deviations above the mean?


A square with sides of length 12 is partitioned into three regions, two of which are triangles and one of which is a trapezoid, as shown in the figure. One base of the trapezoid is a diagonal of the square, and the other base of the trapezoid connects the midpoints of two adjacent sides of the square. Which of the following is closest to the height of the trapezoid?
The volume V of water in each of the lakes is estimated using the formula V=$$\frac{1}{3}Ah$$, where A is the surface area and h is the maximum depth of water. If these estimates were listed from greatest to least, which lake's estimated volume would be second on the list? (1 mile = 5.280 feet)
The maximum depth of water in Lake Superior is approximately how many times the maximum depth of water in Lake Erie?
If the surface area of Lake Huron were estimated by computing the area of a circular region with a 200-mile diameter, this area would overestimate the actual surface area of Lake Huron by approximately what percent?
If the sum of six consecutive odd integers is 252, what is the least of the six integers?
If a is a positive integer and x ≠ 0, which of the following expressions are equivalent to the expression $$x^{-3a}$$?

Indicate all such expressions.
x, y, and z are positive integers and x+y=z.

Quantity A

The average (arithmetic mean) of x, y, and z

Quantity B

$$\frac{z}{2}$$
After her graduation, Elena attended her class reunion once every year. The first reunion she attended was in year F and the last was in year L.

Quantity A

The number of reunions Elena attended

Quantity B

L-F
In the xy-plane, the center of a circle is (4, 0) and the area of the circle is 36π. The point (s, 0) is on the circle, where s > 0.

Quantity A

s

Quantity B

10
0 < x < y < z

Quantity A

$$\frac{x}{y}$$

Quantity B

$$\frac{y}{z}$$
3x+y = 12

x+$$\frac{y}{3}$$=4

Quantity A

x

Quantity B

y


The weights of the individual boxes in a shipment are listed in the table above, along with the numbers of boxes for three of the weights. The average (arithmetic mean) weight of the boxes weighing 5 or 10 kilograms was 7.5 kilograms. The average weight of the boxes weighing 20 or 40 kilograms was 35 kilograms. What was the total number of boxes that were shipped?
For each of the three years 2018, 2019, and 2020, the value of a car at the end of the year was x percent less than its value at the end of the preceding year. If the value of the car was $20,000 at the end of 2017 and $18,400 at the end of 2018, which of the following is closest to the percent decrease in the value of the car from the end of 2018 to the end of 2020?
If $$\frac{x-1}{4}$$ is an integer, which of the following numbers must also be an integer?

Indicate all such numbers.
A traveler purchased a gift item at a store in Country D, paying only the cost of the item with no taxes or other charges. The traveler paid with 100 United States dollars and received back the correct change in the amount of 203 units of Country D's currency, based on the currency exchange rate that day.

Which of the following statements individually provide(s) sufficient additional information to determine the cost of the item, in United States dollars?

Indicate all such statements.
The median of the numbers in a list of consecutive positive multiples of 1.2 is 25.8. What is the greatest possible number in the list?
The integer m is the product of four different prime numbers. If the result when m is divided by 35 is a multiple of 3, which of the following could be the result when m divided by 5?

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