1. P and Q are two sets. If n(P∪Q)=45 and n(P)=25 and n(Q)=35, then n(P∩Q) is
A) 10
B) 12
C) 20
D) 15

2. If I is the set of positive integers and P={x:x∈I, x^2<10 and x≠0},then
A) P = {0,1}
B) P = {0,1,2,3}
C) P = {1.2,3}
D) P is an infinite set

3. Simplify (1-y^2)/(y-y^2 )
A) 1/y
B) (1-y)/y
C) (1+y)/y
D) 1/(1-y)

What properties allow transformation to be used as a problem solving tool

Astudy was interested in determining if eating milk chocolate lowered someone's cholesterol levels.ten people's cholesterol was measured. then, each of these individuals were told to eat 100g of milk chocolate every day and to eat as they normally did. after two weeks, their cholesterol levels were measured again. is there evidence to support that their cholesterol levels went down? how should we write the alternative hypothesis? (mud = the population mean difference= before - after)a. ha: mud = 0b. ha: mud > 0c. ha: mud < 0d. ha: mud does not equal 0

Problem number 26 of the rhind papyrus says: find a quantity such that when it is added to of itself the result is a 15. the modern day equation that models this problem is x + x = 15. what is the solution to the equation? x = 10 x = 12 x = 15 x = 30