For mutually exclusive events upper r 1? , upper r 2? , and upper r 3? , we have ? p(upper r 1? )=0. p(upper r 2? )=0.4? , and ? p(upper r 3? )=0.55. ? also, p(q? | upper r 1? )=0.4? , ? p(q | upper r 2? )=0.3? , and? p(q | upper r 3? )=0.4. find ? p(upper r 1 ? | q).

Which one is true about the hexagons ?

Samantha is growing a garden in her back yard. she spend $90 setting up the garden bed and buying the proper garden supplies. in addition, each seed she plants cost $0.25. a. write the function f(x) that represents samantha's total cost on her garden. b. explain what x represents. c. explain what f(x) represents. d. if samantha plants 55 seeds, how much did she spend in total?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?