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If a is an integer, is a < 4 ?(1) $${10}^{-2a+2}<{0.001}.$$(2) $${10}^{-2a}<{0.0001}.$$
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The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
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If $5,000 invested for one year at p percent simple annual interest yields $500, what amount must be invested at k percent simple annual interest for one year to yield the same number of dollars?(1) k = 0.8p(2) k = 8
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John deposited $10,000 to open a new savings account that earned 4 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John's account 6 months after the account was opened?
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A certain one-day seminar consisted of a morning session and an afternoon session. If each of the 128 people attending the seminar attended at least one of the two sessions, how many of the people attended the morning session only?(1) $$\frac{3}{4}$$ of the people attended both sessions.(2) $$\frac{7}{8}$$ of the people attended the afternoon session.
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A total of 30 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese?[Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]
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150, 200, 250, n. Which of the following could be the median of the 4 integers listed above?I.175II.215III.235
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In a marketing survey, 60 people were asked to rank three flavors of ice cream, chocolate, vanilla, and strawberry, in order of their preference. All 60 people responded, and no two flavors were ranked equally by any of the people surveyed. If 3/5 of the people ranked vanila last, 1/10 of them ranked vanila before chocolate, and 1/3 of them ranked vanilla before strawberry, how many people ranked vanilla first?
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应用题
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At a certain university, 60% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?
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应用题
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Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 2 books to the left of the atlas and 4 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf?
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