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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


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?

_____$
x ≠ y and y ≠ 0

Quantity A

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

Quantity B

$$\frac{x^{2}-y^{2}}{xy-y^{2}}$$


List L: 84, 73, 87, 88, 75, 90

The standard deviation of the numbers in list L is s. List M consists of 6 different numbers, each of which is obtained by adding 9 to one of the numbers in list L. The standard deviation of the numbers in list M is t.

Quantity A

s+3

Quantity B

t




The weights of the individual boxes in a shipment are listed in the table above, along with the numbers of boxes for three of the weights. The average (arithmetic mean) weight of the boxes weighing 5 or 10 kilograms was 7.5 kilograms. The average weight of the boxes weighing 20 or 40 kilograms was 35 kilograms. What was the total number of boxes that were shipped?
Data set P consists of 32 numbers, including the number 15.2. The sum of the numbers in P is 400. If 15.2 is 0.5 standard deviation above the mean of the numbers in P, which of the following could be a number in P that is 1.5 standard deviations below the mean of the numbers in P?


Zip cola is sold in bottles of four different sizes at the prices shown in the table shown above. What is the minimum amount one could spend in order to buy at least 65 ounces of Zip cola?


For how many of the five vehicle types is the number of silver vehicles less than 20 percent of the total number of vehicles of that type?


By approximately what percent does the total number of green vehicles exceed the total number of brown vehicles?


For the 5 vehicle types and 6 vehicle colors, what is the average (arithmetic mean) number of vehicles per type per color, rounded to the nearest whole number?
N=$$(11)^{3}(13)^{2}(15)$$

Quantity A

The greatest prime factor of N

Quantity B

15


What is the ratio of the product (20!) (16!) to the product (22!) (14!) ?
$$x$$ > 0

$$0.0625y=\frac{x}{4}(2.5)$$

Quantity A

$$x$$

Quantity B

$$y$$




ABCD is a square, as shown above.

Quantity A

$$\frac{BC+CD}{BD}$$

Quantity B

2


0 < s < t

Quantity A

$$\frac{s}{t}$$+0.4

Quantity B

$$\frac{5s+2t}{5t}$$


For a class of more than 100 students, a teacher has calculated the grades of 100 students, and 22 of those grades were A's. If all of the students whose grades remain to be calculated will receive A's and a total of 25 percent of the entire class will receive A's, then how many students' grades remain to be calculated?
Any time the double helix of DNA is cut, the cell initiates what is usually ____________ repair to the break: during the mending process, a few letters of DNA usually get deleted.
In quadrant I of the xy-plane, a triangle has vertices at (r, r), (4r, r), and (r, 3r). For what value of r is the area of the triangle equal to 300?
Which of the following is an equation of a line in the xy-plane that has a slope of 2 and that intersects the x-axis at x=3?
In early twentieth-century India, the claim that films from the West screened by "first-class theaters" were exclusively "high-class features" was_________, since a film`s being screened by such theaters was interpreted as a confirmation of quality.

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