1. Look at the following sum. 1+1/2+1/4+1/+146+1/32 + 1/64... Notice that the denominator of each fraction in the sum is twice the denominator that comes before it. If you continue adding on fractions according to this pattern, when will you reach a sum of 2?

How many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

(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.)