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The weights of 80,000 fish are approximately normally distributed with a mean of 12.5 ounces and a standard deviation of 4.2 ounces. Approximately what percent of the 80,000 fish have weights between 16.7 and 20.9 ounces?
The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown. The distribution of the random variable $$Y$$ is normal with mean 10 and standard deviation 0.5. Which of the following is closest to the value of $$P(9 \lt Y \lt 10.5)$$
Set $$S$$ has twice as many members as set $$R$$, and the two sets have some members in common.

Quantity A

The number of members that are in $$S$$ and not in $$R$$

Quantity B

Twice the number of members that are in $$R$$ and not in $$S$$


Of the vehicles in a parking lot, 38.75 percent are trucks and 52.5 percent are cars. What fraction of the vehicles in the parking lot are neither trucks nor cars?
A large number of samples of water were tested for the presence of two different minerals, $$X$$ and $$Y$$. Of all the samples tested, 52 percent showed the presence of $$X$$, 18 percent showed the presence of $$Y$$, and 10 percent showed the presence of both $$X$$ and $$Y$$.

Quantity A

The percent of all the samples tested that showed the presence of neither X nor Y

Quantity B

$$34%5$$


In a survey of 300 television watchers, $$\frac{1}{5}$$ said they like news programs and $$\frac{1}{4}$$ said they like sports programs.

Quantity A

The greatest possible number of those surveyed who said that they like both news programs and sports programs

Quantity B

$$60$$


In a group of 38 college students, 28 are sophomores and 15 are chemistry majors. Which of the following could be the number of students in the group who are both sophomores and chemistry majors? Indicate all such numbers.
In a survey of 100 teenagers, 71 of the teenagers reported using at least one of three social media sites-$$A, B$$, and C-and 30 reported using all three sites. At least 15 of the teenagers reported using only site A and at most 15 of the teenagers reported using only site $$B$$. Which of the following values could be the number of teenagers who reported using only site $$C$$? Indicate all such values.
Three people are in the process of reviewing 50 grant proposals. The numbers of proposals that each has reviewed so far are 32, 28, and 25, respectively.

Quantity A

The number of proposals that have been reviewed by at least 2 reviewers

Quantity B

$$32$$


10, 13, 16, 19, 22……… The first term in the sequence shown is 10, and each term after the first is 3 greater than the previous term. What is the value of the 92nd term in the sequence?
A bag contains only red marbles and blue marbles and contains at least two of each color.

Quantity A

The probability of drawing a red marble after an additional blue marble has been placed in the bag

Quantity B

The probability of drawing a red marble after one of the red marbles has been removed from the bag


For each order of envelopes, a company charges d dollars per box for the first 100 boxes and $$\frac{2d}{3}$$ dollars per box for any boxes in excess of 100. lf the company charges $660 for an order of 250 boxes of envelopes, what is the value of d?

Quantity A

$$w(2x+2y+2z+1)$$

Quantity B

$$2w(x+y+z)$$


If $$p \gt 0$$ and $$q-p=2$$, then $$\frac{q^2-1}{p+1}=$$
a \lt b

Quantity A

$$b-a$$

Quantity B

$$b+a$$


$$0 \lt3x \lt 2x^2$$

Quantity A

$$x$$

Quantity B

$$\frac{3}{2}$$


In the xy-plane, the slope of line p is $$\frac{1}{2}$$.

Quantity A

The slope of a line that is perpendicular to line p

Quantity B

$$1$$


In the xy-plane, the vertices of triangle RST have coordinates $$(-k, k), (k, 2k)$$, and $$(k+2, k)$$, as shown. What is the area of triangle RST in terms of $$k$$?
If lines s and t shown are parallel, how many points in the plane of these lines are equidistant from all three lines?

Quantity A

$$x+y$$

Quantity B

$$200$$


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