The distribution of heights of 6-year-old girls is approximately normally distributed with a mean of 46.0 inches and a standard deviation of 2.7 inches. aliyaah is 6 years old, and her height is 0.96 standard deviation above the mean. her friend jayne is also 6 years old and is at the 93rd percentile of the height distribution. at what percentile is aliyaah’s height, and how does her height compare to jayne’s height?

On a mild saturday morning while people are working inside, the furnace keeps the temperature inside the building at 23degreesc. at noon the furnace is turned off, and the people go home. the temperature outside is a constant 16degreesc for the rest of the afternoon. if the time constant for the building is 3 hr, when will the temperature inside the building reach 18degreesc? if some windows are left open and the time constant drops to 2 hr, when will the temperature inside reach 18degreesc?