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List K consists of 9 distinct positive integers. If the average (arithmetic mean) of the integers in K is 6 and the median of the integers in K is 5, what is the greatest possible range of the integers in K?


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 random variable Y is normally distributed. The value 100 is at the 14th percentile of the distribution of Y, and the value 200 is at the 34th percentile of the distributioin of Y. Which of the following is the best estimate of the mean of the distribution?
a < b

Quantity A

a-b

Quantity B

|a-b|


A certain ferry transports cars and persons in the cars across a river. The total charge for one trip consists of 2 dollars per car plus 1 dollar for each person in the car. The total charge for one trip for Ann's car and all of the persons in her car is d dollars.

Quantity A

The total number of persons in Ann`s car

Quantity B

d-2




Line segment QT (not shown) bisects angle PQS, and line segment QU (not shown) bisects angle RQS.

Quantity A

The sum of the measures of angle PQT and angle RQU

Quantity B

90 degrees


x < -10

Quantity A

3x+4

Quantity B

-2-x


x is an integer.

Quantity A

$$(-1)^{x}$$

Quantity B

$$(-1)^{x+1}$$


$$0 < x_1 < x_2 < x_3 < x_4 < x_5$$

The range of the numbers $$x_1, x_2, x_3, x_4$$, and $$x_5$$ is r.

Quantity A

The range of the numbers $$x_1^{2}, x_2^{2}, x_3^{2}, x_4^{2}, and x_5^{2}$$

Quantity B

$$r^2$$


In sequence S the first term is an odd integer, the second term is an even integer, and each term after the second term is the sum of the two preceding terms. In sequence T the first term is an even integer, the second term is an odd integer, and each term afier the second term is the sum of the two preceding terms.

Quantity A

The number of odd integers in the first 400 terms of sequence S

Quantity B

The number of odd integers in the first 400 terms of sequence T


A={1, 2, 3, 5} B={1, 2, 4, 6} C={1, 3, 4, 7} For the sets A, B, and C shown, how many elements are in the set A∩(B∪C)?
A list of 491 measurements of mass is ordered from least to greatest. The measurement 29.2 grams occurs once in the list, and 29.2 grams is the nth measurement in the list. A second list consists of the same 491 measurements, ordered from greatest to least. Tiie measurement 29.2 grams is the pth measurement in the second list,where p = 2n-3. What is the value of n ?
A number is to be randomly selected from the set of prime numbers that are less than 50. What is the probability that the number selected will be greater than 29?
If $$(25*10^{12})+(150*10^{10})+(3,100*10^{8})=n * 10^{13}$$, what is the value of n?
Points P, Q, R, and S are consecutive vertices of a square in the xy-plane,where the coordinates of P are(2, 2).

Which of the following statements individually provide(s) sufficient additional information to determine the area of the square?

Indicate all such statements.


The figure shows two identical right circuiar cones of radius $$r$$ and height $$h$$ inside a right circular cylinder of radius $$r$$ and height $$2h$$. What is the volume of the region inside the cylinder but outside the two cones? (Note: The volume $$V$$ of a right circular cone is given by $$V=\frac{1}{3}πr^2h$$, where $$r$$ is the radius of the base and $$h$$ is the height of the cone.)
In the xy-plane, the point $$P(2, 0)$$ lies on a line with equation $$y=mx+b$$, where $$m$$ and $$b$$ are constants. The slope of the line is $$-\frac{1}{2}$$.

Quantity A

The y-intercept of the line

Quantity B

2


List L consists of 21 integers and list M consists of 35 integers. For the integers in L, the average (arithmetic mean) is 20 and the median is 25. For the integers in M, the average is 30 and the median is 25. List K consists of the 56 integers in lists L and M combined.

Quantity A

The average of the integers in K

Quantity B

The median of the integers in K


$$\frac{a-b}{a+b}=\frac{a+b}{a-b}$$

Quantity A

$$a$$

Quantity B

$$b$$


At the beginning of a certain year, a new savings account was opened with a $1,000 deposit.The account earned interest at an annual rate of r percent, compounded annually, and there were no other transactions in the account during the first 2 years after it was opened.

Quantity A

The amount of interest that the account earned during the 2nd year alone

Quantity B

10r dollars


Quantity A

$$100!+99!$$

Quantity B

$$\frac{101!}{100}$$


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