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The cube has vertices A, B, C, D, E, F, G, and H and edges of length 1. Line segments BH and EG are not shown.

Quantity A

The measure of angle BHD

Quantity B

The measure of angle FGE


The right circular cylinder shown has a diameter of 10, a height of h, and a total surface area of 130π, including the side, top, and bottom.

Quantity A

$$h$$

Quantity B

$$10$$


A rectangular label is attached to a right circular cylinder with radius $$r$$. The label which encircles the cylinder without overlap, has width w and an area equal to the area of the base of the cylinder.

Quantity A

$$w$$

Quantity B

$$r$$


The figure shows a set of four revolving rectangular doors, each of which is 4 feet wide and 10 feet high. The doors revolve 360 degrees around the fixed axis that is formed where the four doors connect. Which of the following is closest to the minimum number of cubic feet of space that is required for the set of doors to revolve?
Consider a sphere such that the ratio of the surface area of the sphere to its volume is 7. What is the radius of the sphere? (Note: The surface area of a sphere with radius r is $$4πr^2$$, and the volume of a sphere with radius r is $$\frac{4}{3}$$ $$πr^3$$.)
What was the median cost per pound, in dollars, of compound C for the six years shown?
A manufacturer bought 500 pounds of compound $$C$$ in 1997 and, through a process costing a total of $50, produced from it 450 pounds of compound $$B$$, which was then sold in 1998. lf the compounds were bought and sold at the rates shown in the table and if the only costs to the manufacturer were the cost of the compound $$C$$ and the processing, what was the manufacturer' s total profit from this transaction?
Compounds $$A, B$$, and E are the only materials used to make a certain product. In this product, compounds $$A, B$$ and E are used in the ratio of 3 to 2 to 5, respectively, by weight. In 1998, what was the cost of the materials used to make one pound of this product?
The median yearly per capita consumption of veal, lamb, and pork, in pounds, for the six years shown is closest to which of the following?
In 1995, poultry represented approximately what percent of the total yearly per capita consumption of protein from the sources listed?
The following statistical measures were calculated using the yearly per capita consumption of poultry for the six years shown. Which of the following is equal to the difference between the yearly per capita consumption of poultry in 1995 and in 1975?


The figure shows the distribution of class sizes for 125 classes at a certain college. Based on the figure, which of the following values could be the median of the 125 class sizes? Indicate all such values.
Which of the following is closest to the range of the five total government debts from 1972 to 1976 ?
Which of the following is closest to the average total government debt per person in 1972?
Approximately what was the average (arithmetic mean) decrease per year in the total government debt during the three-year period from 1973 to 1976?
The average (arithmetic mean) of the 8 integers in list K is 26.5. List M consists of the 8 integers in K and 2 additional integers, a and b. The average of the 10 integers in M is 28.2.

Quantity A

The average of a and b

Quantity B

$$ 35.0$$


At an airport, the daily high temperatures, in degrees Celsius, were recorded for 4 consecutive days. If the average (arithmetic mean) high temperature for the 1st, 2nd, and 3rd days was 29 degrees Celsius and the average high temperature for the 2nd, 3rd, and 4th days was 31 degrees Celsius, how much greater was the high temperature on the 4th day than on the 1st day? ______________degree Celsius
The function f is defined by $$f(x)=x^2-5x+1$$ for all numbers $$x$$. What is the median of all possible values of $$f(n)$$, where n is an integer and $$6 \leq n \leq 14$$?
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 $$P(9 \lt Y \lt 10.5)$$

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