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题目内容
Set P consists of all possible sums that can be obtained by adding five different numbers from the set {1, 2, 3, 4, 5, 6}. Set Q consists of all possible sums that can be obtained by adding three different numbers from the set {1, 2, 3, 4, 5).

Quantity A

The number of elements of P

Quantity B

The number of elements of Q
Set M consists of all positive integers that have a remainder of 2 when divided by 8. Set S consists of all positive integers that have a remainder of 3 when divided by 5.

Quantity A

The least integer in both M and S

Quantity B

58


The graphs of the functions f and g are shown in the xy-plane. What is the value of g(f(3))?
A customer made 6 payments on a loan. The amount of each payment after the first was $45 more than the amount of the previous payment. If the 6 payments totaled $1,395, what was the amount of the first payment?
Julies history class and sociology class meet in the same building, and her traveling distance to the building is 5.0 kilometers. The mean traveling distance for the students in the history class is 2.5 kilometers, and Julie's traveling distance is 2 standard deviations above the mean. The mean traveling distance for the students in the sociology class is 7.5 kilometers, and Julie's traveling distance is 1 standard deviation below the mean. The standard deviation of the traveling distances for the students in the history class is how many kilometers greater or less than the corresponding standard deviation for the sociology class?
A certain university has three campuses: the north campus, the south campus, and the central campus. The total area of the three campuses is 15.75 square kilometers. The area of the south campus is at least the area of the north campus, and the area of the central campus is more than 1.5 times the area of the north campus. Which of the following values could be the area of the north campus, in square kilometers?

Indicate all such values.
In the xy-plane, points $$R$$ and $$S$$ have coordinates $$(7a, -10a)$$ and $$(-13a, -4a)$$, respectively, where $$a \neq 0$$. What are the coordinates of the midpoint of line segment $$RS$$?
In the xy-plane, which of the following best represents the graph of $$y=(x-1)^2-8$$?
$$1 \lt x+y$$

Quantity A

$$x^2+y^2$$

Quantity B

$$1$$


RSTW is a parallelogram with x < 90.

Quantity A

The area of the region enclosed by RSTW

Quantity B

50


For a population of 1,000,000 used computer batteries, the distribution of the durations that a fully charged battery will power a computer is approximately normal with mean 3.5 hours.The manufacturer of the batteries estimates that 20,000 of the batteries will have a power duration greater than 5.1 hours. Of the following,which is the best estimate of the standard deviation, in hours, of the distribution?


Ten tiles are to be placed in a horizontal row. as shown above. If each tile is either red or blue, how many different color patterns are possible?
An applicant for a certain job will take a skills test. An applicant who scores 80 percent

Quantity A

The probability that an applicant who scores less than 80 percent on the test will be hired

Quantity B

0.35
Three of the vertices of parallelogram RSTU in the xy-plane are R(-3, -2), S(1, -5), and T(9, 1). Which of the following could be the x-coordinate of vertex U?
In the rectangular coordinate system, the vertices R, S, and T of triangle RST have coordinates (3, 1), (3, 7), and (k, 4), respectively. If k > 3 which of the following must be true?
x=250

Quantity A

$$x^2-256x$$

Quantity B

$$1,500$$
Integer R has r digits, and the sum of the digits in R is 40. Integer T has t digits, and the sum of the digits in t is 50.

Quantity A

r

Quantity B

t
Two gardening stores sold a certain type of plant. Store X bought 310 of the plants for a cost of $9 each and sold each of them at a price that was 2.5 times the cost. Store Y bought 200 of the plants for a cost of $7 each and sold each of them at a price that was 3.5 times the cost. (Note: Profit equals revenue minus cost.)

Quantity A

Store X`s total profit on the sale of the 310 plants

Quantity B

Store Y`s total profit on the sale of the 200 plants

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