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The total annual per capita consumption of ice cream and cheese combined in 1950 was approximately what percent of that in 1990 ?
Claire regularly backs up both of the computers that she owns. On the first day of June, she backs up both computers. Thereafter, she backs up one of the computers every sixth day during June (that is, on June 7 and so on), and she backs up the other computer every eighth day during June. On how many of the 30 days in June $$\underline{does}$$ she not back up either of the two computers.

_____days
During archery practice, Kyle made 50 attempts to hit a target. After each attempt, his success rate was calculated as the number of successful attempts to hit the target as a percent of the number of attempts up to that time. After the 20th attempt, his success rate was 45 percent. After the 40th attempt, his success rate was 55 percent. Which of the following statements must be true?

Indicate all such statements.


Each morning Betty walks from intersection P to intersection R, always walking along streets shown in the figure above and always going east or north. If she varies her walks as much as possible, taking every different path in turn before repeating the sequence of paths, on how many mornings in 48 consecutive mornings will Betty walk through intersection Q?
n is the least possible integer such that 108n is the square of an integer.

Quantity A

n

Quantity B

9


Which of the following numbers is greatest?
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean x is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences, $$(x_{i}- x)^{2}$$ for 1 ≤ i ≤ n.

Data sets K and T have the same number of values.Each value in K is either 0 or 2, and both 0 and 2 occur in K at least once. Each value in T is either 0 or 1,and both 0 and 1 occur in T at least once.

Quantity A

The standard deviation of the values in K

Quantity B

The standard deviation of the values in T


A combination lock is set to open when the correct direction sequence is selected, either left-right-left or right-left-right, and when the correct three numbers from 1 to 60, inclusive, are selected in the correct order. If each number can be used only once, which of the following gives the number of different combinations that can be set to open the lock?
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 $$\frac{3}{4}$$ 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
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?
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


Nancy invested $5,000 for x years at an annual interest rate of 6 percent, compounded annually.

David invested $6,000 for y years at an annual interest rate of 6 percent, compounded semiannually.

Quantity A

The total amount of interest that Nancy`s investment earned

Quantity B

The total amount of interest that David`s investment earned


If a > 1, which of the following could be the value of $$(1+\frac{1}{a})^{-1}$$?

Indicate all such values.


Quantity A

The standard deviation of data set Ⅰ

Quantity B

The standard deviation of data set Ⅱ




Square ABCD has sides of length 1. Arc AC is an arc of the circle of radius 1 centered at B. Arc BD is an arc of the circle of radius 1 centered at A. These arcs divide the square into four regions, $$S_1, S_2, S_3$$, and $$S_4$$.

Quantity A

The area of region $$S_1$$ minus the area of region $$S_3$$

Quantity B

$$\frac{π}{2}$$ -1




BC=DC

Quantity A

x

Quantity B

y


A bowl contains jelly beans, 10 percent of which are green and the rest are blue. To this bowl n green jelly beans and 10n blue jelly beans will be added, where n > 0.

Quantity A

After the 11n jelly beans are added to the bowl, the percent of the jelly beans in the bowl that will be green

Quantity B

10%


a < b < c < d < e

List S: a, b, c, d, e

List T: a-2, b-1, c, d+1, e+2

Quantity A

The standard deviation of the numbers in list S

Quantity B

The standard deviation of the numbers in list T


From a group of 100 people including Alice and Bob, 40 people are to be randomly selected at the same time to win movie tickets. What is the probability that both Alice and Bob will be selected to win movie tickets?
A dog show features four breeds consisting of 3 poodles, 3 German shepherds, 3 boxers, and 2 Irish setters. If the winning group will consist of one dog from each breed, how many different winning groups are possible?

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