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After taking a quiz, 25 students each received a score on the quiz that was an integer from 1 to 10, inclusive. The average (arithmetic mean) of the 25 scores was 8.8. Only 1 student received the lowest score, and the sum of the 24 scores greater than the lowest score was 217. What was the range of the 25 scores?
If 1 < r < s < t < 2, then, of the following, which is closest to $$r+(s*10^{6})+(t*10^{12})$$?
-3 < x < 7

Quantity A

x-2

Quantity B

6


At a certain sale, the price of a jacket was reduced by 5 percent and the price of a pair of slacks was reduced by 20 percent.

Quantity A

The dollar reduction in the price of the jacket

Quantity B

The dollar reduction in the price of the pair of slacks


Quantity A

The product of the positive prime factors of 30

Quantity B

The sum of the positive prime factors of 30


$$(3^{x})(3^{y})$$=1

Quantity A

x+y

Quantity B

1




Quantity A

x

Quantity B

y


s and t are positive integers such that st=30.

Quantity A

The least possible value of s+t

Quantity B

13




The figure shows the standard normal distribution, with mean 0 and standard deviation 1, including approximate probabilities corresponding to the six intervals shown.

The random variable X is normally distributed with mean 140 and standard deviation 12.

Quantity A

P(125

Quantity B

P(152


Last month Paul and Jack each sold newspaper and Paul sold 5,000 more newspaper than Jack. If Paul and Jack sold a combined total of 35,000 newspaper last month, what fraction of this combined total did Jack sell?
A shop sells only two types of beverages: coffee and teas. If 36 percent of the shop`s beverages are teas that have caffeine and 60 percent of the shop`s teas have caffeine, what percent of the shop`s beverages are coffees?
List L consists of the integers from 1 to 99 and two integers c and d such that c+d=100 and cd < 0. Which of the following statements must be true?

Indicate all such statements.
Among the incoming students at a certain college, an equal number of full-time and part-time students received a welcome package. If $$\frac{3}{16}$$ of the incoming full-time students and $$\frac{5}{12}$$ of the incoming part-time students received a welcome package, what fraction of the incoming students received a welcome package?
A circle in the xy-plane is given by the equation (x-a)2+(y-b)2=c2, where a, b, and c are nonzero constants. If the point (b+a, b-a) lies on the circle, which of the following is an equation of the tangent line to the circle at this point?
If the range of the average daily electric use for the months from January to June in 2015 was x kilowatt-hours less than that for the months from July to December in 2015 and if the range of the average daily electric use for the months from January to June in 2016 was y kilowatt-hours less than that for the months from July to December in 2016, approximately what is the value of x-y?
The total electric use, in kilowatt-hours, for the 31 days in March, the 30 days in April, and the 31 days in May was approximately how much greater for 2016 than for 2015?
What is the ratio of the number of months for which the percent increase from 2015 to 2016 in the average daily electric use was greater than 28 percent to the number of months for which the percent decrease from 2015 to 2016 in the average daily electric use was greater than 10 percent?

Give your answer as a fraction.
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean x is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences, $$(x_{i}, - x)^{2}$$ for 1 ≤ i ≤ n.

If the standard deviation of the 4 numbers 140-a, 140, 160, and 160+a is 50, where a > 0, what is the value of a?
In sequence T, each term after the first term is d more than the preceding term. The sum of the first 10 terms of T is 210. The sum of the first 20 terms of T is 820. What is the value of d?

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