Aprize wheel at a county fair is divided into 9 equal sections. each section on the wheel is marked with a letter. each letter refers to a different stuffed-animal prize. the letter g stands for giraffe, z for zebra, and m for monkey. if the wheel stops at the letter c, the winner may choose any of these animals. what is the probability that the first 3 people in line will spin an m? m g z m g m c g z [a] 1 3 [b] 1 729 [c] 27 512 [d] 1 27

2. using calculations based on a perpetual inventory system, determine the inventory balance altira would report in its august 31, 2021, balance sheet and the cost of goods sold it would report in its august 2021 income statement using the average cost method. (round "average cost per unit" to 2 decimal places.)

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?