A runners racecourse has a total distance of 7.5 mi. Race officials want to mark the course every 400 yd with a flag, including one at the finish line. (The starting line does not need a flag) how many flags are needed?

(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

Which of the following statement about pascal's triangle are true?

Segment xy is dilated through point m with a scale factor of 2. which segment shows the correct result of the dilation