In the picture Up top, figure ABCDE has been dilated from a center point O. If |OA| is 5 and |OA'| = 10, what is the scale factor?

(A.) 1/2

(B.) 2

(C.) 5

(D.) 1/5

Given the function f(x) = log base 4(x+8) , find the value of f^-1(2)

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.)

The midpoints of the sides of the large square are joined to form a smaller square. what is the area of the smaller square