Consider the function g on {2 k | k ∈ IN} defined recursively by g(1) = 1 and g(n) = 3g(n/2) + 4 for n ≥ 2. Find a formula for g(n) and prove that your formula is correct.

(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.)

What is the scale factor of two similar pyramids with volumes of 64 cubic feet and 8 cubic feet

You are living in aldine, tx and you are planning a trip to six flags in arlington, tx. you look on a map that has a scale of 0.5 inches to 30 miles. if the map shows the scale distance from aldine to arlington is 4 inches, how far is the actual distance?