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In 1995, the average cost for tuition and fees for students attending four-year private colleges in the United States was $$6$$ percent higher than the corresponding average cost in 1994. Which of the following is closest to the 1994 average cost?


$$P$$, $$Q$$, and $$R$$ represent Paula, Quincy, and Robert, respectively. The table shows the average annual income for 2004 for different subgroups of these three people. What is the value of $$x$$?
The arithmetic mean and standard deviation of a list of numbers are $$10.8$$ and $$0$$.

Quantity A

The range of the numbers in the list

Quantity B

$$0$$


The random variable $$W$$ is normally distributed with $$P(W\lt k)<0.6$$ and $$P(W \gt n)<0.1$$, where $$k$$ and $$n$$ are constants.

Quantity A

$$P(k\lt W\lt n)$$

Quantity B

$$0.3$$


$$x_1, x_2, x_3, …, x_j, …$$

The sequence shown is defined by $$x_1=2$$ and $$x_j+1=\frac{1}{2}x_j$$ for each positive integer $$j$$.

Quantity A

$$x_9$$

Quantity B

$$(2^{13})x_{22}$$


A box contains $$10$$ red balls, $$5$$ blue balls, and no other balls. Ann will randomly select, without replacement, $$2$$ balls from the box.

Quantity A

The probability that Ann will select $$2$$ red balls

Quantity B

$$\frac{3}{7}$$


The probability that event $$R$$ will occur is $$0.45$$, and the probability that events $$R$$ and $$T$$ will both occur is $$p$$. What is the greatest possible value of $$p$$?
What is the greatest number that can be expressed as a product of four different integers, where each of the integers is between $$-7$$ and $$6$$, inclusive?
Container $$Q$$ contains exactly $$120$$ balls and container $$R$$ contains exactly $$6$$ balls. The balls in container $$Q$$ are numbered from $$1$$ to $$120$$, respectively, and the balls in container Rare numbered from $$1$$ to $$6$$, respectively. A ball is to be chosen at random from each of containers $$Q$$ and $$R$$.

Quantity A

The probability that the number of the ball chosen from container $$Q$$ will be divisible by $$2$$ or $$3$$

Quantity B

The probability that the number of the ball chosen from container R will be divisible by $$2$$ or $$3$$


Quantity A

The remainder when $$2^5$$ is divided by $$3^3$$

Quantity B

The remainder when $$2^5$$ is divided by $$3^2$$


$$x$$ and $$y$$ are positive integers, and $$y$$ is odd.

Quantity A

The remainder when $$(x+y)(y+7)$$ is divided by $$2$$

Quantity B

$$1$$


if $$r$$ cannot equal $$1$$ or $$-1$$, then $$\frac{1}{r-1} - \frac{1}{r+1} =$$
A box contains yellow tennis balls and white tennis balls. The number of yellow tennis balls in the box is $$10$$ more than the number of white tennis balls. If $$2$$ of the yellow balls are replaced by $$2$$ white balls, the ratio of the number of yellow balls to the number of white balls will be $$4$$ to $$3$$. What is the total number of tennis balls in the box?
Total number: __________
$$\frac{0.00004}{40,000}=$$
$$|2n-1|+|3t+2|=0$$

Quantity A

$$n$$

Quantity B

$$t$$


$$R > 0$$
$$137$$ percent of $$R$$ is equal to $$S$$.

Quantity A

$$0.137R$$

Quantity B

$$S$$


The discounted price of a certain suit is $$20$$ percent less than the original price of the suit. If the discounted of the suit plus a sales tax of $$5$$ percent of the discounted price equals $$ $67.20$$, what was the original price of the suit?

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