Solve the problem.Six Republicans and six Democrats orally cast their vote in the U.S. Senate. In how many orders can they vote if they must alternate Republican, Democrat, Republican, Democrat, and so on and if a Republican must always be the first to vote?
A. 12!
B. 6 × 11!
C. 6! × 6!
D.
E. none of these
Answer: C
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Determine the population and the sample.A graduate student at a university wants to find out the opinions of undergraduate students about campus dining choices. He has access to a list of 2500 undergraduate student email addresses and emails a survey to 500 of these undergrads selected at random.
A. Population: undergraduate students at the university; Sample: 2500 undergraduate students from an email list B. Population: undergraduate students at the university; Sample: 500 undergraduate students from an email list C. Population: 2500 email addresses; Sample: 500 undergraduate students from an email list D. Population: 500 undergraduate students from an email list; Sample: 2500 email addresses
Sketch an angle ? in standard position that satisfies the stated conditions.Negative and the terminal side lies in quadrant II
A.
B.
C.
D.
Find the range of the function.f(x) = 8x2 + 112x + 382
A. (-?, -7] B. [0, ?) C. (-?, 0] D. [-10, ?)
Find the vertical asymptotes of the rational function.h(x) =
A. x = -5, x = 5 B. x = -5, x = -8 C. none D. x = -5, x = 5, x = -8