The amounts of electricity bills for all households in a city have a skewed probability distribution with a mean of and a standard deviation of . Find the probability that the mean amount of electric bills for a random sample of households selected from this city will be more than the population mean by at least .

Round your answer to four decimal places.

Enter your answer in accordance to the question statement

What is the perimeter of a rectangle if the length is 5 and the width is x?

Aconcession manager at yankee stadium wants to know how temperature affects beer sales. she took a sample of 10 games and recorded the number of beers sold and the temperature in the middle of the game. temperature 80 68 78 79 87 74 86 92 77 84 number of beers 20533 1439 13829 21286 30985 17187 30240 87596 9610 28742 a. draw a scatter plot of the data. b. the manager estimates the regression equation to be: numberofbeers = −100, 678 + 1, 513 ∗ temperature draw this on your scatter plot. c. for one of the estimated points, indicate the residual with ei . d. for that same point, indicate what part of the variation is explained by the model with ˆyi − y¯.

Apopulation of 1500 insects grows exponentially, by a factor of 3 every week. select all equations that represent or approximate the population, p, as a function of time in days, t, since the time it was 1500.