Consider a collection of envelopes consisting of 3 red envelopes, 3 blue envelopes, 1 green envelope, and 3 yellow envelopes. if three envelopes are selected at random, without replacement, determine the probability that at least one envelope is a red envelope. the probability that at least one envelope is red is

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.