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The sum of two numbers divided by 2, gives a result of 24 and their difference divided by 2 gives a result of 17. The product of these two numbers is divisible by which of the following?
Four people, including Ito and Kenji, are to be assigned to 3 offices. Two of the offices can accommodate only 1 person and the other office can accommodate 2 persons. If Ito and Kenji cannot be assigned to the same office,how many different assignments of the 4 people to the offices are possible?
A marine biologist recorded the lengths of 115 fish. The median of the recorded lengths is 60 centimeters. Which of the tollowing statements must be true?

Indicate all such statements.
In a distribution of 1,300 different positive numbers, 65.1 is at the 54th percentile and 63.8 is at the 4th percentile. Approximately how many of the numbers in the distribution are greater than 65.1?
When driving a car at a constant speed of 50 miles per hour the driver decided to apply the brake. How many feet did the car travel during the 3/4 second that elapsed between the time the driver decided to apply the brake and the time the driver actually started to apply the brake? (1 mile=5,280 feet)

_____feet
In the xy-plane (not shown), a right triangle has its right angle at the origin and has its hypotenuse along the line y=7x-1. If none of the sides of the triangle are vertical, what is the product of the slopes of the three sides of the triangle?
For one toss of a certain coin, the probability that the outcome will be heads is $$\frac{1}{2}$$. If this coin is tossed 4 times, what is the probability that the outcome will be heads at least 3 times?
Set T is the set of all numbers of the form $$\frac{1}{n(n-1)}$$, where n is an integer and 2 < n < 5.

Quantity A

The sum of all the numbers in T

Quantity B

$$\frac{1}{4}$$


When the positive integer p is divided by 7, the remainder is 3. When p is divided by 6, the remainder is 4. Which of the following could be the value of p?

Indicate all such values.
In company X, 60 percent of the employees are female. 80 percent of the female employees are college graduates, and half of the female college graduates are new employees.

Quantity A

The percent of the employees in Company X who are not female, not college graduates, and not new employees

Quantity B

8%


In the xy-plane , the graph of the function $$y=x^{3} (x^{2}-3)(x+3)$$ intersects the x-axis at k different points.

Quantity A

k

Quantity B

3


In the xy-plane, which of the following values are x-intercepts of the graph of the equation $$y= \frac{x−1}{x+3}$$?

Indicate all such values.
The random variable K is normally distributed with mean 98 and standard deviation 4. The random variable L is normally distributed with mean 140 and standard deviation 6.

Quantity A

The percentile rank of the value 105 in the distribution of K

Quantity B

The percentile rank of the value 149 in the distribution of L


Quantity A

The perimeter of a rectangular region that has an area of 20

Quantity B

20




The figure above represents one of two pairs of identical support legs that will be part of the frame of a swing set, which is to be constructed on level ground using metal pipe. Each pair of support legs will have a horizontal bar 1.5 meters above ground level, and the triangle formed by the bar and support legs will be equilateral. Each support leg will extend below ground level by 0.5 meter. The frame will be completed by a horizontal bar, 5 meters in length and 3 meters above ground level, that will connect the tops of the two pairs of support legs. Approximately what is the total length, in meters, of the metal pipe needed to construct the entire frame?


A 20-foot ladder leaning against a vertical wall with the base of the ladder 10 feet from the wall is pulled 2 feet farther out from the wall, causing the top of the ladder to drop x feet.

Quantity A

x

Quantity B

2


Last month a recycling facility received 175 used automobile batteries, all of which arrived at the facility in crates. Each of these crates contained 19, 20, or 21 used automobile batteries.

Quantity A

The number of crates containing used automatic batteries that arrived at the facility last month

Quantity B

9


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