Suppose that X is the time it takes a randomly chosen professor in a university department to type and send a standard letter of recommendation for a past student who is applying for a graduate degree program. Suppose X has a normal distribution, and assume the mean is 10.5 minutes and the standard deviation 3 minutes. If you were to take a random sample of 50 professors and measure the time it takes each one of them to type and send such a standard letter of recommendation, what is the probability that their mean time is less than 9.5 minutes?

Avegetable garden and a surrounding path are shaped like a square that together are 11ft wide. the path is 2ft wide. find the total area of the vegetable garden and path

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

What is the expression in factored form? 225x^2 - 144 a. 9(5x+4)^2 b. 9(5x-4)^2 c. 9(4x+5)(4x-5) d. 9(5x+4)(5x-4)