The table above shows the frequency distribution of the values of a variable Y. What is the mean of the distribution?
Give your answer to the nearest 0.01.
_____
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Let S be the set of all positive integers n such that $$n^2$$ is a multiple of both 24 and 108. Which of the following integers are divisors of every integer n in S ?
Indicate all such integers.
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The range of the heights of the female students in a certain class is 13.2 inches, and the range of the heights of the male students in the class is 15.4 inches.
Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the students in the class?
Indicate all such statements.
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There are 275 students in the field of engineering at University X. Approximately what is the ratio of the number of students in engineering to the number of faculty in engineering?
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Approximately what percent of the faculty in humanities are male?
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For the biological sciences and health sciences faculty combined,$$\frac{1}{3}$$ of the female and $$\frac{2}{9}$$ of the male faculty members are tenured professors. What fraction of all the faculty members in those two fields combined are tenured professors?
_____/_____
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For which of the eight years from 2001 to 2008 did exports exceed imports by more than $5 billion?
Indicate all such years.
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Which of the following is closest to the average (arithmetic mean) of the 9 changes in the value of imports between consecutive years from 2000 to 2009 ?
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In 2008 the value of exports was approximately what percent greater than the value of imports?
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If it were discovered that the value of imports shown for 2007 was incorrect and should have been $5 billion instead, then the average (arithmetic mean) value of imports per year for the 10 years shown would have been approximately how much less?
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Dominant interests often benefit most from_____of governmental interference in business, since they are able to take care of themselves if left alone.
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Kagan maintains that an infant`s reactions to its first stressful experiences are part of a natural process of development, not harbingers of childhood unhappiness or_____signs of adolescent anxiety.
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An investigation that is_____can occasionally yield new facts, even notable ones, but typically the appearance of such facts is the result of a search in a definite direction.
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In stark contrast to his later (i)_____, Simpson was largely (ii)_____ politics during his college years, despite the fact that the campus he attended was rife with political activity.
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As my eyesight began to_____, I spent a lot of time writing about it --both poems and "eye journals" --describing what I saw as I looked out through damaged eyes.
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The judge`s standing in the legal community, though shaken by phony allegations of wrongdoing, emerged, at long last _____.
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Modern agricultural practices have been extremely successful in increasing the productivity of major food crops, yet despite heavy use of pesticides,_____ losses to diseases and insect pests are sustained each year.
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Like Béla Bartók, Ruth Crawford not only brought a composer`s acumen to the notation of folk music, she also had a marked (i)_____the task. This was clear in her agonizing over how far to try to represent the minute details of a performance in a written text, and this (ii)_____makes her work a landmark in ethnomusicology.
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Richard M. Russell said 52 percent of the nation`s growth since the Second World War had (i)_____invention. He said, (ii)_____research, the government`s greatest role in assuring continuing innovation is promoting a strong, modern patent office. "Unless we can (iii)_____original ideas, we will not have invention," Mr. Russell said. Speculating on the state of innovation over the next century, several inventors agreed that the future lay in giving children the tools to think creatively and the motivation to invent.
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Statements presented as fact in a patent application are (i)_____unless a good reason for doubt is found. The invention has only to be deemed "more likely than not" to work in order to receive initial approval. And, although thousands of patents are challenged in court for other reasons, no incentive exists for anyone to expend effort (ii)_____the science of an erroneous patent. For this reason the endless stream of (iii)_____devices will continue to yield occasional patents.
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