You are at a party with door prizes. One after another, names are drawn from a hat to see who gets a prize. The names are not returned to the hat, so no one gets more than one prize. Are these dependent or independent events? Explain your reasoning.

The function p(x) is an odd degree polynomial with a negative leading coefficient. if q(x) = x3 + 5x2 - 9x - 45, which statement is true? a. as x approaches negative infinity, p(x) approaches positive infinity and q(x) approaches negative infinity. b. as x approaches negative infinity, p(x) and q(x) approach positive infinity. c. as x approaches negative infinity, p(x) and q(x) approach negative infinity. d. as x approaches negative infinity, p(x) approaches negative infinity and q(x) approaches positive infinity.