Simply each expression by applying distributive property and then multiplication property of square roots.(show each step) 1. - square root of 5 (2 - square root of 5 ) 2. square root of 2 (8 - square root of 4 ) 3. - square root of 2 (-5 + square root of 3)

Find the missing factor. 7s2 + 25s + 12 = (s + 3)( ).

(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

Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.