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题目列表

题目内容
Parallelogram ABCD has adjacent sides of length 10 and 16.

Quantity A

The area of the region enclosed by ABCD

Quantity B

155
A bicycle is traveling at a constant rate such that the wheels rotate 72 degrees per 0.1 second. If each wheel of the bicycle has a diameter of 26 inches, how many inches does the bicycle travel in 2 seconds?


A pendulum 36 inches long swings through an angle of x degrees, and its pointed end travels through a distance of 41 inches before swinging back again, as shown in the figure. Which of the following is closest to the value of x?


As shown in the figure, the centers of the two circles are respectively on the circumference of each other, and the radius is 3. What is the perimeter of this figure?


In the figure above the circle has center O, and AB and AD are tangent to the circle. If the degree measures of angles ABC and ADC are 20 and 40, respectively, what is the value of x+y?
A box manufacturer is designing a closed box in the shape of a rectangular solid. The ratio of the lengths of the sides of the box is 1 to 2 to 3. The total surface area of the box is 550 square inches. What is the volume of the box, in cubic inches?
The larger of two right circular cylindrical containers has an inside radius of 3 inches, and the smaller has an inside radius of 1.5 inches; each of the containers has an inside height of 10 inches. If the smaller container were filled with water until the depth of the water was 9 inches, and then its water were poured into the empty larger container, what would be the depth of the water, in inches, in the larger container?
Of customers 4, 6, 8, 9 and 10, which one was served by the customer service representative who served customer 1?
Each digit of a 20-digit number is either a 1, 2, 3, 4, or 5. If the average (arithmetic mean) of 15 of the 20 digits of the number is 2.8 and if M is the average of all 20 digits of the number, then M must satisfy which of the following inequalities?
In a competition, a certain contestant scored either 2 points or 4 points in each round of the competition. This contestant`s average (arithmetic mean) score for the entire competition was 3.8 points per round.

Quantity A

9 times the number of rounds in which the contestant scored for 2 points

Quantity B

The number of rounds in which the contestant scored for 4 points
Mr. Thomas gave a chemistry test to 25 students and assigned each student a score. Of the 25 students, 12 students received scores that were greater than 80.

Which of the following statements individually provide(s) sufficient additional information to determine the median of the 25 scores?

Indicate all such statements.
The average (arithmetic mean) of the first n positive integers is 17.

Quantity A

n

Quantity B

33


The table shows the means and ranges of two data sets, X and Y, each containing the same number of measurements.

Quantity A

The standard deviation of data set X

Quantity B

The standard deviation of data set Y
Five different families received tax bills at the beginning of the year. Later, the four lowest tax bills were each reduced by $200 while the highest tax bill remained the same.

Quantity A

The standard deviation of the original five tax bills

Quantity B

The standard deviation of the resulting five tax bills after the four lowest tax bills were reduced
For a certain normal distribution, the value 15.6 is 2 standard deviations below the mean of the distribution and the value 26.1 is 3 standard deviations above the mean of the distribution. What is the mean of the distribution?
Let x be a positive number. The random variable R is normally distributed with mean x and standard deviation 0.25x. The random variable T is normally distributed with mean 0.5x and standard deviation 0.5x.

Quantity A

P (R <1.375x)

Quantity B

P (T <1.25x)
In a survey, employees who want to switch jobs were asked what issues were most important in choosing another job. Half of those surveyed said "salary" and 35% said "location". If 32 percent of those surveyed said both "salary" and "location", what percent said either "salary" or "location" but not both?
n is an even integer greater than 2

Quantity A

$$\frac{n!}{(\frac{n}{2})!}$$

Quantity B

2($$\frac{n}{2}$$)!
The 9 computers in an office are to be interconnected by cables so that each computer is connected directly to each of the other computers. If each cable that connects a pair of the computers counts as one cable, how many cables are needed?
A certain spacecraft has 2 separate computer systems, X and Y, each of which functions independently of the other. The probabilities that systems X and Y will function correctly at liftoff are 0.90 and 0.99, respectively. What is the probability that at least one system will function correctly at liftoff?

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