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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?


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?


The table above shows the annual revenues of a company for seven years. Based on the information given. which of the following statements are true for the seven years?

Indicate all such statements.
When positive integers k and n are each divided by 9, the remainders are 2 and 5, respectively. If k > n, what is the remainder when k-n is divided by 9?
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?
Of the following, which best represents the graph of the function $$y=(x^{2}-x)(x-2)$$ $$?$$

n is an integer greater than 10.

Quantity A

The sum of the reciprocals of the first 2n positive integers

Quantity B

1 more than the sum of the reciprocals of the first n positive integers


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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