Match each description with its symbolic representation. 1. P (A) The probability that both event A and event B occur 2. P (A ∩ B) The probability that both events A and B do not occur together, but either may occur by itself 3. P (A ∪ B) The probability that event A occurs given the fact that event B occurs 4. 1 - P (A ∩ B) The probability that either event A or event B occurs 5. 1 - P (A ∪ B) The probability that neither event A or event B occurs 6. P (A | B) The probability that event A occurs

98 point question what is the record for most points in one

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.

Use sigma notation to represent the following series for 9 terms.