If events A and B are independent, what must be true?
P(A) = P(B|A)
A and B are also mutually exclusive events
P(A) = P(A|B)
P(AB) = P(B)

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

Fabian harvests 10 pounds of tomatoes from his garden. he needs 225 pounds to make a batch of soup. if he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can fabian make?

A.s.a.! similarity in right triangles, refer to the figure to complete this proportionc/a = a/? a.) cb.) hc.) rd.) s