The rule for the glide reflection that maps triangle ABC with vertices A(- 4, - 2) , B(- 2, 6) , and C(4, 4) to A'B'C' with vertices A'(-2,-2) , B'(0,-10) and C'(6, 8) is T(a, b)° Rx-axis where

You are on a cycling trip around europe with friends. you check the weather forecast for the first week. these are the temperatures for the week. sun mon tues wed thurs fri sat 16°c 20°c 24°c 28°c 28°c 23°c 15°c what is the mean temperature forecast for the week?

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.

30 points if you answer all 3 questions with work!