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The measurement of X is normally distributed with a mean of 60 and standard deviation of 30.
Quantity A: The probability when 45 < x < 60
Quantity B: The probability when x > 95
Let $$S_8$$ represents the set of integers from $$1$$ to $$8$$, and let $$S_9$$ represents the set of integers from $$1$$ to $$9$$.

Quantity A

The number of the subsets of $$S_8$$

Quantity B

The number of the subsets of $$S_9$$ that contain the integer $$9$$


In a survey between staffs, 40% of the staffs chose only company A, 20% of the staffs chose only company B, 15% of the staffs chose both A and B, what percent of staffs chose neither A nor B? Give your answer as a percent.
________%
Of the 66 guests at a certain hotel, 40 guests enjoy dancing and 25 guests enjoy swimming. If all but 6 of the guests enjoy dancing or swimming or both, how many guests enjoy dancing but not swimming?
40 people join club X, 28 people join club Y, and 8 people join both club X and club Y. How many people join at least one club of the two clubs?
70 people choose A, or B, or both. Among them 53 choose A and 48 choose B, then how many people choose both?
There are 20,000 people in club A and 30,000 people in club B. There are 45,000 members who are in at least one club. If you choose one member from club A, what's the probability that this member is also in club B? Give your answer as a fraction.
75% of a group of students` grades are greater than 70, and 60% of students` grades are less than 85, what percent of students` scores are between 70 and 85? Give your answer as a percent.
______%
When testing a series of bottles of water, chemical A is found in 52% of all bottles, chemical B is found in 18% of all bottles, while chemical A and B are found in 10% of all bottles.

Quantity A

The proportion of bottles that contain neither chemical A nor chemical B

Quantity B

34%


At a certain dealership, $$\frac{2}{5}$$ of the trucks have four-wheel drive, and $$\frac{1}{3}$$ of the vehicles that have four-wheel drive are trucks. Of the vehicles that are trucks or have four-wheel drive, what fraction are trucks that have four-wheel drive?

Give your answer as a fraction.
There are 30 students in the class. 17 of them join the music club, and 15 of them join the science club. If everyone must join at least one club, then what`s the number of students who join both clubs?
If 2/3 of employees are working on project A, and 1/5 of the rest of the employees are working on project B. What is the ratio of employees who neither work on project A nor work on project B?

Give your answer as a fraction.
The 50 students in an art class were given an assignment to visit two museums, A and B. During the week after the assignment was given, 25 of the students visited Museum A and 10 of those 25 students also visited Museum B.

Which of the following statements individually provide(s) sufficient additional information to determine how many of the students visited Museum B during that week?

Indicate all such statements.
In a certain class,40% take A,40% take B,20% take A and B,what percent of students take neither A nor B?
Give your answer as a percent.
______%
There are 80 students in a class. 40 of them choose biology, and 30 of them choose chemistry. Which of the following can independently identify the number of students who choose both biology and chemistry?
Indicate all such statements.
There are 50 students in a class, who choose A and B, two places for the weekend. 25 of them choose A and 10 of these 25 also choose B. Which of the following options can independently identity the number of students who choose B?
Indicate all such statements.
Of the 1,000 people, there are 300 people who are 40 years old or older, and 320 women who are younger than 40 years old. What is the number of men younger than 40 years old?
In a sample of $$n$$ people, 80 percent of the people filled out a questionnaire. If 65 percent of those who filled out the questionnaire are college graduates, what is the greatest possible percent of college graduates in the sample of $$n$$ people?
Thirty percent of the members of Club A are also members of Club B. Forty percent of the members of Club B are also members of Club A.

Quantity A

The total number of members of Club A

Quantity B

The total number of members of Club B


The candies in a candy shop can be divided into unscented and scented, and they can also be divided into blue and green. There are 1000 unscented candies and 1000 blue candies. 25% of blue candies and 50% of green candies are scented. When the candies which are neither scented blue nor scented green are sold out, how many candies are there still in the shop?

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