If the statement, "if i am hungry, then i am not happy," is assumed to be true, is its negation, "if i am not hungry, then i must be happy," also always true?

The graph of which of the following will be parallel to the graph of 4x – 3y = –12? a.y= 4/3x -3/2 b.6x-4y=-8 c. y=3/4x+1 d.4x- 2y=-12

In factoring by grouping, what would you have for step 3 for the following? step 1: x^3 +5x^2 +4x+20 step 2: x^2 (x+5)+4(x+5) step 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