We bought a banana, cherry, and pineapple in the store. The Banana's weight was half of the cherry's weight, and the pineapple weight was half of the sum of the cherries and pineapple combined. How many pounds of banana did we buy? Please also show the equation.

(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.)