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题目:
1. In a probability experiment, G and H are independent events. The probability that G will occur is r, and the probability that H will occur is s, where both r and s are greater than 0.
Quantity A:the probability that either G will occur or H will occur, but not both
Quantity B:r+s-r*s
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
正确答案:B
题目解析:G事件与H事件互相独立,G事件概率为r, H事件概率为s,求两事件其中之一发生的概率。
只发生G事件:r*(1-s)
只发生H事件:s*(1-r)
相加可得 r+s-2*r*s,小于Quantity B,因此选B。
2. The area of circle W is 16*π and the area of circle Z is 4*π. What is the ratio of the circumference of W to the circumference of Z?
A. 2 to 1
B. 4 to 1
C. 8 to 1
D. 16 to 1
E. 32 to 1
正确答案:A
题目解析:根据圆形面积公式,可知两圆的半径比例为2:1,然后根据周长公式计算,其州长比例也为2:1。所以选A。
3. The interior dimensions of a rectangular tank are as follows: length 110 centimeters, width 90 centimeters, and height 270 centimeters. The tank rests on level ground. Based on the assumption that the volume of water increases by 10 percent when it freezes, which of the following is closest to the maximum height, in centimeters, to which the tank can be f...