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题目内容

Quantity A

The number of different positive 4-digit integers in which two of the digits are equal to 5 and the other two digits are equal to 7

Quantity B

6






On each side of a parade route, spectators occupy a sidewalk that is 10 feet wide and 1.5 miles long. The parade organizers estimate that the average amount of sidewalk space occupied per spectator is 6 square feet. Based on this estimate, which of the following is closest to the total number of spectators occupying the two sidewalks? (1 mile = 5,280 feet)
The average (arithmetic mean) of 6 measurements is n. When a statistician discards one of the measurements, the average of the remaining measurements is n-2. What is the value of the discarded measurement, in terms of n?
In a group of 10 people, the median height is 70 inches, the average (arithmetic mean) height is 70.5 inches, and the range of the heights is 12 inches. If an additional person who is 74 inches tall joins the group, which of the three statistics must change?
Three different television models—$$K$$, $$N$$, and $$P$$—are for sale at a local store. The cost of model $$K$$ is $$20$$ percent greater than the cost of model $$N$$, and the cost of model $$N$$ is $$25$$ percent greater than the cost of model $$P$$. The cost of model $$K$$ is what percent greater than the cost of model $$P$$?
If 50 percent of the calls received during the week about subscription cancellations were received on Friday, approximately what percent of the calls received on Friday were calls about subscription cancellations?
During the week shown, what is the least possible number of days on which the business could have received one or more calls about service issues?
If a circle graph is to be drawn to show the distribution of the numbers of calls received per day for the week shown, what will be the degree measure of the central angle of the sector representing Thursday?

Give your answer to the nearest degree.

_____degrees
The function f is defined by $$f(x)=\frac{2}{x-2}+\frac{3}{x+2}$$ for all numbers x, where x ≠ 2 and x ≠ -2. If f(x) = 0, what is the value of x?

Give your answer as a decimal.


In the figure above, if AC = 15, BC = 5, and AE = 5, what is the value of ED?


The parallel sides (bases) of trapezoid RSTU have lengths 3 and 9, and the nonparallel sides have lengths 4 and 6, as shown in the figure. Line segment AB (not shown) is parallel to the two bases of RSTU with point A on side RS and point B on side TU. If AB divides the trapezoid into two trapezoids having equal perimeters, what is the sum of the lengths of the nonparallel sides of trapezoid RABU?
If $$\frac{1}{2}$$ is one solution of the equation $$8x^{2}+2x-k=0$$, where k is a constant, what is the other solution of the equation?
$$\frac{2}{9}$$ < x < $$\frac{1}{3}$$

Quantity A

x

Quantity B

$$\frac{5}{18}$$


P=$$x^{30}-x^{31}$$

Quantity A

The value of P when x is $$\frac{1}{2}$$

Quantity B

The value fo P when x is $$-\frac{1}{2}$$


$$b_{1}$$, $$b_{2}$$, $$b_{3}$$, ........., $$b_{99}$$, $$b_{100}$$........

The first term of the sequence shown is 1, and each term after the first term is equal to the preceding term multiplied by $$-\frac{1}{3}$$.

Quantity A

$$b_{100}$$ - $$b_{99}$$

Quantity B

0


The probability that event R will occur is 0.65. The probability that event T will occur is 0.47.

Quantity A

The probability that neither R nor T will occur

Quantity B

0.47






RSUV is a rectangle.

Quantity A

$$\frac{The lengh of ST}{The lengh of TU}$$

Quantity B

$$\frac{The area of △RST}{The area of △TUV}$$


The acreage of Hopetown, a town in Lewis County, is equal to 20 percent of the acreage of the region that is in Lewis County but not in Hopetown.

Quantity A

The acreage of Hopetown as a percent of the entire acreage of Lewis County

Quantity B

18%


r is a positive integer, k = 2r + 1, and h = 5k - 3.

Quantity A

The units digit of h

Quantity B

2


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