3. Let P(x, y): x + y > 5, then determine the truth value of the following a) (∃x)(∃y)P (x, y) = b) (∃x)(∀y)P (x, y) = c) (∀x)(∃y)P (x, y) = d) (∀x)(∀y)P (x, y) =

Which equation represents a line that is parallel to the line whose equation is 3x-2y=7( show all work)

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.

According to the general equation for conditional probability, if p(ab) = 4/5 and p(b)= 5/6, what is p(a|b)? a. 8/9 b. 35/36 c. 24/25 d. 15/16