Find the equation of the parabola described.Focus at (-3, 5); directrix the line y = 1

A. (x - 3)2 = 8(y + 3)
B. (x + 3)2 = 8(y + 3)
C. (x + 3)2 = 8(y - 3)
D. (x - 3)2 = 8(y - 3)


Answer: C

Mathematics

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Use sets to solve the problem.A survey of a group of 117 tourists was taken in St. Louis. The survey showed the following:66 of the tourists plan to visit Gateway Arch;49 plan to visit the zoo;11 plan to visit the Art Museum and the zoo, but not the Gateway Arch;14 plan to visit the Art Museum and the Gateway Arch, but not the zoo;19 plan to visit the Gateway Arch and the zoo, but not the Art Museum;7 plan to visit the Art Museum, the zoo and the Gateway Arch;16 plan to visit none of the three places.How many plan to visit the Art Museum only?

A. 101 B. 37 C. 12 D. 49

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A. 82 B. 29 C. 62 D. 93

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Suppose X is a random variable whose probabilities are Poisson distributed with pn = e-14. Which of the following is true?

A. The probability that x = 0 is zero. B. The expected value of X is e-14. C. The probability that x = 14 is approximately 0.1060. D. The standard deviation of X is 14.

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Write the following in exponential form. Assume that all variables represent positive values.

A. 25/6 B. 2-5/6 C. 2-6/5 D. 26/5

Mathematics