Lines l and m are intersected by transversal t, and l ∥ m. There are two vertical parallel lines l and m intersected by another line t making angles 1 and 3 with l and 5, 7 with m. 1 ,4 and 2 , 3 are opposite angles at the point of intersection of l and t. 5, 8 and 6, 7 are opposite angles at the point of intersection of m and t.

If m∠3 = 126°, what is m∠5?

m∠5 =

Which one ? is the answer and how to find this answer

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

Using only the digits 5, 6, 7, 8, how many different three digit numbers can be formed if no digit is repeated in a number?