A pizza delivery chain advertises that it will deliver your pizza in 25 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 25 minutes. For the simple random sample of 12 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 27.4 minutes with a standard deviation of 6.5 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.01 level of significance. Draw a conclusion and interpret the decision.

Write the expression in complete factored form. 5n_(c - 3) - n(c - 3) =

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?

Urgentwhat is the area of the figure?