A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female
Type A 55 75
Type B 48 22
Compare P(Male | Type A) with P(Male or Type A). (5 points)

P(Male | Type A) > P(Male or Type A)
P(Male | Type A) < P(Male or Type A)
P(Male | Type A) = P(Male or Type A)
There is not enough information.

Identify the parent function that can be used to graph the function f(x)= (1/4x)^3

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Select the correct answer from each drop-down menu. consider the following polynomials equations. 3x^2(x-1) and -3x^3+ 4x^2-2x+1 perform each operation and determine if the result is a polynomial. is the result of a + b a polynomial? yes or no is the result of a - b a polynomial? yes or no is the result of a · b a polynomial? yes or no