A researcher wanted to determine if there was a relationship between new home sales (X) and appliance sales (Y) so data were gathered from 12 cities from the previous 6 months (so 12 data points total). The sum of the new home sales data is 27,475 and when each home sale value is squared and then summed, the resulting sum is 71,956,679. The sum of the appliance sales data is 4,327 and when each of the appliance sale value is squared and then summed, the resulting sum is 1,658,229. The sum(XY) ... each X data point multiplied by its corresponding Y and then summed ... is 10,577,323. Using this information, calculate SSxx, SSyy, SSxy, the slope of the regression line, the standard error of the slope and construct a 99% confidence interval for the true (unobservable) population slope. Data for this problem are expressed in millions.

You are a clerk at convenience store. a customer owes 11.69 for a bag of potatoes chips. she gives you a five dollar bill. how much change should the customer receive?

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Which statement justifies why angle ebc measures 90?