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For two statistics classes, class A and class B, there are more students in class A than in class B. The heights of the students in both classes were measured.

Which of the following statements individually provide(s) sufficient additional information to conclude that the average(arithmetic mean)height of the students in class A is greater than the average height of the students in class B?

Indicate all such statements.
According to the passage, the data on ceramic artifacts
If $$x$$, $$y$$, and $$z$$ are consecutive positive integers and $$x \lt y \lt z$$, which of the following numbers must be even integers?

Indicate all such numbers.
The median of the five measurements in set X is 65 and the median of the five measurements in set Y is 75. All ten measurements in sets X and Y are between 60 and 80.

Quantity A

The median of the ten measurements in sets X and Y combined

Quantity B

70




The cube shown above has edges of length x, where x is an integer. The length of diagonal AG (not shown) is 10.39, to the nearest 0.01. What is the value of the integer x?

x=_____
$$0 \lt x \lt 1$$

Quantity A

$$\sqrt{x}$$+$$\sqrt{1-x}$$

Quantity B

1






Quantity A

$$\frac{ST}{RT}$$

Quantity B

$$\frac{ST}{RS}$$




In a triangle ABC, the length of line segment AC is 2 and the length of line segment BC is 1.

Quantity A

The length of line segment AB

Quantity B

$$\sqrt{5}$$




Pat has five matched pairs of socks and no two of the pairs are the same color. If Pat selects two socks simultaneously and at random, what is the probability that the two socks selected will be a matched pair?
A box contains 100 purple balls, 100 red balls, and 100 white balls. What is the minimum number of balls that must be chosen to ensure that at least 4 of the balls chosen have the same color?
n is a positive integer.

$$x_{1}, x_{2},...x_{n}$$ are n numbers.

c is a number.

Quantity A

The standard deviation of the n numbers $$x_{1}, x_{2},...x_{n}$$

Quantity B

The standard deviation of the n numbers $$x_{1}+c, x_{2}+c,...x_{n}+c$$






For many who are not philosophers, the word “metaphysics” still retains connotations of (i)____________, so that many hard scientists still use the term as a byword for (ii)____________ thinking.


On the number line, point M (not shown) is between points K and N, and the coordinate of M is x. If the distance from K to M is the average (arithmetic mean) of the distance from K to N and the distance from M to N, what is the value of x?
In a group of people, 30 people speak French, 40 speak Spanish, and $$\frac{1}{2}$$ of the people who speak Spanish do not speak French. If each person in the group speaks French, Spanish, or both, which of the following statements are true?

Indicate all such statements.
A college student purchased textbooks in three subjects-biology, calculus, and economics. The price of the biology textbook was 25 percent less than the price of the calculus textbook and 5 percent greater than the price of the economics textbook. The price of the calculus textbook was what percent greater than the price of the economics textbook?
A certain rectangular painting is 1.5 feet high and 3 times as wide as it is high. The painting is to be framed by a wood frame that is 3 inches wide, as shown in the figure.



Which of the following is closest to the minimum number of feet of 3-inch-wide wood framing that will be needed to frame the painting? (1 foot = 12 inches)
A dealer's gross profit on the sale of a car is defined as the selling price of the car minus its cost to the dealer. A car dealer sold $$n$$ cars for $$s$$ dollars each. If the dealer's total gross profit was $$p$$ dollars, what was the dealer's average (arithmetic mean) cost per car, in dollars?
This book indulges in a number of convenient ____________, including its dubious timeline and its veneer of collective authorship.
Studies of almanacs written in the United States in the nineteenth and early-twentieth centuries have not been particularly ____________: only recently have scholars begun to use almanacs in more insightful ways to analyze scientific beliefs, politics, and ideology.
Accounts of early opera performances—both of the performances themselves and of their social milieu—indicate that the origins of the genre were anything but ____________; it began at the peak.

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