What is the average rate of change for the function f(x)=x3−6x2+4x+7 over the interval 0≤x≤5? Enter your answer as a number, like this: 42

Algebraically prove that a clockwise and counterclockwise rotation of 180° about the origin for triangle abc are equivalent rotations.

Arandom sample of 15 observations is used to estimate the population mean. the sample mean and the standard deviation are calculated as 172 and 63, respectively. assume that the population is normally distributed. a. with 99 confidence, what is the margin of error for the estimation of the population mean? b. construct the 99% confidence interval for the population mean. c. construct the 95% confidence interval for the population mean. d. construct the 83% confidence interval for the population mean. hint: you need to use excel function =t.inv.2t to find the value of t for the interval calculation.

Yasmin purchased 6 heads of cabbage that each weighed 2 3/8 pounds how much did the cabbage way all together