The diagonal of a rectangle is of length a. it splits each corner forming two angles with a ratio of 1: 2. the area of the rectangle is: select one: a. 1/2 a^2 b. 1/4 a^2 c. 2a^2 d. sqrt 2/2a^2 e. sqrt 3/4a^2 f/ sqrt 3/4a^2

(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.)