Acarpenter draws a plan for the top of a table he is building. the width of the table top is 20 inches and the length is double the width. he wants to know how the area of the table top will be affected if the length is increased by x inches.

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

Aword processing program requires a 7- digit registration code made up of the digits 1,2,4,5,6,7 and 9 each number has to be used and no number can be used mor than once how many codes are possible