If x is the average (arithmetic mean) of 10 and y, and y is the average of x and 22, which of the following statements are true?
Indicate all such statements.
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If a triangle and a square have exactly n points in common, which of the following CANNOT be the value of n?
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The graph shows the numbers of all immigrants admitted to the United States in year Y who intended to reside in nine selected areas.
For year Y, approximately what was the median of the numbers of immigrants admitted to the United States who intended to reside in the nine areas shown?
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The graph shows the numbers of all immigrants admitted to the United States in year Y who intended to reside in nine selected areas.
One immigrant is to be randomly chosen from the immigrants admitted to the United States in year Y who intended to reside in one of three areas: Chicago, Los Angeles, and New York. Approximately what is the probability that the immigrant chosen will be one who intended to reside in Chicago?
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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.
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For how many of the 12 months shown did the long-term average water level decrease during the month by at least 20 billion gallons?
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The time period during which the actual water level was lower than the drought warning water level was approximately what fraction of the one-year period shown?
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A date is to be selected at random from the 12 dates labeled on the graph. Which of the following is closest to the probability that the actual water level for the date selected will be at least 40 billion gallons greater than the drought warning water level for that date?
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An office building has 6 floors. If there are n offices on the top floor and each floor has 3 more offices than the floor just above it, how many offices are in the building?
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An artist will arrange 5 identical plastic apples in wooden bowls-one made of maple, one of oak, and one of pine. How many different arrangements are possible such that each bowl will contain at least one apple?
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The author of the passage mentions Blake, de Weaver, and Gray as examples of which of the following?
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Darrell has a collection of 40 DVDs, each of which contains one movie. There are 17 comedy movies, 14 fantasy movies, and 9 historical movies, where each historical movie takes place in a separate time period. The movies will be ordered on a shelf from left to right so that the movies of each type comedy, fantasy and historical are in a single group of consecutive movies. In addition, the historical movies will be ordered from earliest time period to latest time period. How many possible orderings of the movies are there?
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A rectangular piece of sheet metal has a width of w centimeters, where w ≥ 30. The length of the sheet metal is 3.5 times its width. If squares with sides of length 10 centimeters are removed from each corner of the sheet metal and the sides are folded up to make an open box, what is the volume of the box?
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How many positive integers less than or equal to 29 can be expressed as the product of two different integers greater than 1?
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Which of the following would it be most useful to establish in order to evaluate the argument?
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n=123456789101112.........499500
The digits of the integer n above are the digits of the integers from 1 to 500 written in consecutive order. How many digits does n have?
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In the rectangular coordinate plane above, how many points (x, y), where both x and y are integers, lie on the circle with center (0, 0) and radius 5?
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When a driver got on the expressway, she set the cruise control at 55 miles per hour for the first 2 hours and at 65 miles per hour for the remaining 2.2 hours of the trip. When she returned, she traveled the same distance along the expressway and averaged 50 miles per hour for the return trip. How many more minutes was she on the expressway returning than going?
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