1. A fair 20-sided dice with faces numbered from 1 to 20 is rolled. The event M is defined as “the number obtained is a multiple of 3”.
a. Determine P(M). If the dice is rolled 100 times.

b. How many times would you expect to get a multiple of 3?

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.

Match each polynomial with its factorization.

The volume of a sphere is increased by 6%. calculate the corresponding percentage increased in it area.