There are 37 students in Mr. Hernandez's homeroom. One student will be randomly selected to act as a representative on the student council. If there are 18 boys and 19 girls in the class, what is the probability that the representative will be a boy?

#12 find the value of x. #13 find the value of the variable.

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.