A man starts at the point O on the map below. He chooses a path at random and follows it to point B1, B2, or B3. From that point, he chooses a new path at random and follows it to one of the points A1 – A7. Suppose the man arrives at point A4, but it is not known which route he took, what is the probability that he passed through each of the three points: B1, B2, B3? Calculate each one.

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?

Select the point that is a solution to the system of inequalities. y< =-x+3 y=x^(2)-3x

Whats the area of a square is 16 cm square. the square is the base of a cube. what is the surface area of the a. 16cm2 b. 32cm2 c. 64cm2 d. 96cm2