Consider a dataset of numbers Y1, Y2, ..., Yn. Prove or find a counterexample to disprove each of the following statements. Consider the linear function f(x) = 9x — 4. a) If ab, show that ƒ(a) ≤ ƒ(b). b) c) Both of the statements below are true, but only one is a consequence of the property you proved in part (a). Which is it? Show that this statement is true, using the result of part (a). 1. Mean(f(x1), ,..., f(xn)) = f(Mean(x1,...,xn)) 2. Median (f(x1), . . ., f(xn)) = f(Median(x1,...,xn)) Now, prove the other statement. Note your proof should not depend on the property you proved in part (a).

The grade of OMG 321 was normally distributed with a mean of 81 and a standard deviation of 3. (round z value to the second decimal and probability to the fourth decimal place)

6. Find the measure of each interior angle. Round to the nearest hundredth. 6*+ 60) - (4x – 142)° MATH NATION

An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 127 pounds, and will sell for $4.6 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 2.1 pounds, while the price per pound will decrease by $0.07.   A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.)   Answer: __________ (rounded to the nearest tenth)   B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.)   Answer: ____________ dollars (rounded to the nearest dollar)