The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100 and the standard deviation is 2. We wish to test H0: 100 versus with a sample of n 9 specimens. (a) If the rejection region is defined as or find the type I error probability . (b) Find for the case where the true mean heat evolved is 103. (c) Find for the case where the true mean heat evolved is 105. This value of is smaller than the one found in part (b). Why

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?

3x + 4y = 5 x- 3y = -7 solve by substitution

When solving a logarithm equation, how do you find the missing variable ?