400 people are asked if they drink tea. 7/10 say "yes" and 20% of the people who say "yes" drink at least 3 cups each day.

a) Complete the frequency tree

b) What fraction of the 400 people drink at least 3 cups of tea each day?

(Give your answer in its simplest form!)

If you roll two fair dice (one black die and one white die), in how many ways can you obtain a 4 on at least one die?

The angles below are supplementary. what is the value of x? a pair of supplementary angles is shown. one angle measures 7x + 33, and the other angle measures 70. 5.3 8.14 11 14.7

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.