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In the figure shown, triangle ABC is equilateral, and arc AEC is a circular arc with center B.

Quantity A

The length of line segment AC

Quantity B

The length of line segment BE




For a population of 1,000,000 used computer batteries, the distribution of the durations that a fully charged battery will power a computer is approximately normal with mean 3.5 hours.The manufacturer of the batteries estimates that 20,000 of the batteries will have a power duration greater than 5.1 hours. Of the following,which is the best estimate of the standard deviation, in hours, of the distribution?


Ten tiles are to be placed in a horizontal row. as shown above. If each tile is either red or blue, how many different color patterns are possible?
An applicant for a certain job will take a skills test. An applicant who scores 80 percent

Quantity A

The probability that an applicant who scores less than 80 percent on the test will be hired

Quantity B

0.35


Three of the vertices of parallelogram RSTU in the xy-plane are R(-3, -2), S(1, -5), and T(9, 1). Which of the following could be the x-coordinate of vertex U?
In the rectangular coordinate system, the vertices R, S, and T of triangle RST have coordinates (3, 1), (3, 7), and (k, 4), respectively. If k > 3 which of the following must be true?
x=250

Quantity A

$$x^2-256x$$

Quantity B

$$1,500$$


Integer R has r digits, and the sum of the digits in R is 40. Integer T has t digits, and the sum of the digits in t is 50.

Quantity A

r

Quantity B

t


Two gardening stores sold a certain type of plant. Store X bought 310 of the plants for a cost of $9 each and sold each of them at a price that was 2.5 times the cost. Store Y bought 200 of the plants for a cost of $7 each and sold each of them at a price that was 3.5 times the cost. (Note: Profit equals revenue minus cost.)

Quantity A

Store X's total profit on the sale of the 310 plants

Quantity B

Store Y's total profit on the sale of the 200 plants




The boxplots shown summarize the distributions of the values in lists J and K.

Quantity A

The 80th percentile of the values in J

Quantity B

The 80th percentile of the values in K


n=26!-24!

Quantity A

The remainder when n is divided by 59

Quantity B

1


Acompany is forming an advisory committee. Three openings on the committee will be filled as follows. In Department A, 1 person wil be selected from the 4 people who are interested in being on the committee; in Department B, 2 people will be selected from the 8 people who are interested in being on the committee. How many different combinations of employees can be chosen to fill the openings on the committee?
The sequence $$a_1, a_2, a_3$$,.................$$a_n$$,............ is defined by $$a_n=\frac{5}{2^n}$$ for all positive integers $$n$$.

Quantity A

The sum of the first 15 terms of the sequence

Quantity B

5


A drawer contains socks, of which 6 are white, 7 are red, and 10 are blue. Susan will randomly select socks from the drawer, one at a time and without replacement. What is the least number of socks that Susan must select in order to ensure that 2 of the socks selected are blue?
Of the following, which best represents the graph in the xy-plane of the equation $$y=(x^2+1)(x-3)$$?



A container holds $$x$$ ounces of water. The water in the container can fill either $$n$$ 8-ounce glasses or $$p$$ 12-ounce glasses, where $$n$$ and $$p$$ are integers, with no water remaining in the container. Which of the following could be the value of $$x$$?

Indicate all such values.
x > 0

Quantity A

(0.5)(0.4)(x)

Quantity B

20 percent of x


Quantity A

1 percent of $20.00

Quantity B

20 percent of $1.00


The ratio of x to y is 3 to 2, and the ratio of y to z is 5 to 4.

Quantity A

The ratio of z to x

Quantity B

$$\frac{1}{2}$$




In the figure shown, the circle with center O has radius r, and line segment AD is tangent to the circle at point D. If the length of line segment AB is x, what is the length of line segment BC, in terms of r and x?

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