Suppose that each of the four experiments in problem 4.4/31 is to be performed n = 9 times, and the nine resulting distances averaged. estimate the probability p x (2 4) ≤ ≤ for each of (a), (b), (c), and (d). [note: use the central limit theorem, and the fact that, for (c), the mean and variance are µ = 3 and σ 2 = 1.5, respectively.]

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. the punch has 2 liters of ginger ale. part a: write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. define the variable used in the equation and solve the equation. hint: 0.8x represents the number of liters of cranberry juice in the punch. (5 points) part b: how many liters of cranberry juice are present in the punch? show your work.

Ben bowled 124 and 188 in his first two games. what must he bowl in his third game to have an average of at least 160?

If lmn=xyz, which congruences are true by cpctc? check all that apply