Complete the sentence below the denoted modifyingabove p with caret, is given by the formula modifyingabove p with caretequals where x is the number of individuals with a specified characteristic in a sample of n individuals. the mean proportion error variance deviation , denoted modifyingabove p with caret, given by the formula modifyingabove p with caretequals startfraction n over x endfraction xn startfraction x over n endfraction , where x is the number of individuals with a specified characteristic in a sample of n individuals.

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.

In the figure below, triangle rpq is similar to triangle rts. what is the distance between p and q? a. 24 b. 42 c.50 d. 54