Use the appropriate normal distribution to approximate the resulting binomial distribution.

Preview Showcase, a research firm, screens pilots of new TV shows before a randomly selected audience and then solicits their opinions of the shows. Based on past experience, 20% of those who get complimentary tickets are "no-shows." The theater has a seating capacity of 450. Management has decided, for public relations reasons, that a person who has been solicited for a screening should have a probability of .99 of being seated. How many tickets should the company send out to prospective viewers for each screening?

a. 590 tickets the company should send out.
b. 535 tickets the company should send out.
c. 549 tickets the company should send out.
d. 490 tickets the company should send out.


b. 535 tickets the company should send out.

Mathematics

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Solve the problem.A polygon with n sides has D diagonals, where D is given by the function D(n) = . Find the number of sides n if 77 ? D ? 135.

A. The number of sides is between 13 and 19, inclusive. B. The number of sides is between 12 and 19, inclusive. C. The number of sides is between 14 and 18, inclusive. D. The number of sides is between 15 and 18, inclusive.

Mathematics

Solve the equation.y3 + 6y2 + 9y = 0

A. 3, -3 B. 0, -3 C. 0, 3 D. 0, -3, 3

Mathematics

Write a quadratic equation having the given solutions.3i, -3i

A. x2 - 9 = 0
B. x2 + 9 = 0
C. 2 = 0
D. x2 - 6ix + 9 = 0

Mathematics

Factor completely, if possible.x2 - x - 42

A. (x + 7)(x - 6) B. (x + 6)(x - 7) C. (x + 1)(x - 42) D. Prime

Mathematics