Khawla drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Khawla drove home, there was no traffic and the trip only took 7 hours. If her average rate was 18 kilometers per hour faster on the trip home, how far away does Khawla live from the mountains? Do not do any rounding.

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

(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.)

Which of the following is equal to the square root of the cube root of 5 ? (1 point) 5 to the power of 1 over 3 5 to the power of 1 over 6 5 to the power of 2 over 3 5 to the power of 3 over 2