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If the expense category Other were replaced by subdividing it into 4 different categories, approximately what would be the company's average (arithmetic mean) expense per category for all of the expense categories except Salaries and Benefits?
In the xy-plane, line j contains the points (-10, -5.5) and (-8, -3), and line k contains the points (18, -3.5) and (20, -3).

Quantity A

The slope of line j

Quantity B

The slope of line k


One-half the sum of y and z is 3x, and both y and z are greater than 0.

Quantity A

6x

Quantity B

y


k > 0

w < 0

Quantity A

$$\frac{6k}{8k}$$

Quantity B

$$\frac{3w}{4w}$$


In a normal distribution, the amount of the distribution that lies within 1 standard deviation of the mean is 68 percent, rounded to the nearest whole percent. A certain set of values is normally distributed with a mean of 81 and a standard deviation of 5. A value x will be randomly selected from the set.

Quantity A

The probability that x will be less than 76 or greater than 86

Quantity B

The probability that x will be between 81 and 86


Danny has a test average (arithmetic mean) of 75 on ten 100-point tests.

Quantity A

The least possible number of additional 100-point tests he must take to raise his cumulative average to 90

Quantity B

12


$$x^{4}y^{3} > 0$$

Quantity A

$$\frac{x+y}{x}$$

Quantity B

1




Three circles with radii of the same length have centers B, C, and D, respectively. The cirlces with centers B and D are tangent to each other at C.

Quantity A

The area of the shaded region

Quantity B

The sum of the areas of the unshaded regions inside the circle


If x+y=1, y+z=4, and x+z=9, then x+y+z=


The figure shows the standard normal distribution with probabilities, rounded to the nearest 0.01, indicated for six intervals.

The number of available vacation hours for 700 employees of a certain company is approximately normally distributed, with a mean of 80 hours and a standard deviation of 16 hours. According to the figure shown, approximately what percent of the 700 employees have less than 48 available vacation hours?


A 10-foot long board is parallel to level ground, and the fulcrum supporting it is at the board's midpoint, as shown in the figure above. If the board is tipped, with the fulcrum remaining at the board's midpoint, so that the board's left end just touches the ground, which of the following is closest to the number of feet that the right end of the board is above the ground?
The function f is defined by f(x)=3x+1 for all numbers x. If f(a)=a, what is the value of a?

Give your answer as a fraction.
If 75 percent of the United States foreign aid to the Middle East in 1994 was spent for economic aid and 25 percent was spent for military aid, approximately how many billioon dollars was spent for economic aid to the Middle East that year?
The ratio of the amount of foreign aid spent in Africa to the amount spent in Russia and Eastern Europe was closest to
If United States foreign aid was approximately $$\frac{9}{10}$$ of 1 percent of the federal budget for 1994, then the federal budget was approximately how many billion dollars?
An order for bottles of vitamins from a certain mail order company costs $12.04 per bottle plus a shipping cost of $4.80 regardless of the number of bottles ordered. Over the past year, the company has received 100 orders for bottles of vitamins, The standard deviation of the numbers of bottles per order for the 100 orders is 1.5 bottles. What is the standard deviation of the 100 costs for the orders?

$_____
If the number of square inches in the area of a square region is equal to the number of inches in the perimeter of the square, then the length of the diagonal of the square is how many inches?
In a group of 50 students, 22 are enrolled in a psychology course, some are enrolled in a sociology course, some are enrolled in both courses, and some are not enrolled in either course.

Which of the following statements individually provide(s) sufficient additional informatioin to determine the number of students enrolled in both courses?

Indicate all such statements.

Quantity A

The annual simple interest rate if $200 earns $50 interest in 3 years

Quantity B

The annual simple interest rate if $600 earns $90 interest in 2 years


For the numbers in set A, the average (arithmetic mean) is 5.0 and the standard deviation is 0.6. For the numbers in set B, the average (arithmetic mean) is 5.0 and the standard deviation is 0.7.

Quantity A

The standard deviation of the numbers in A after each number in that set has been increased by 3

Quantity B

The standard deviation of the numbers in B after each number in that set has been increased by 2


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