1. In fig. 1, ABCD is a square of side 10 cm. APB is a semicircle with AB as diameter. The area of the shaded part is (Use pi=3.14) (a) 31.25 cm² (b) 67.25 cm² (c) 60.75 cm² (d) 60.5 cm²​

(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.)