Melissa bought many lottery tickets to try to figure out the probability of her losing, getting her money back, or winning. she counted that she had 57 tickets that lost, 12 tickets where she got her money back, and 42 tickets that won.

Probability of losing = 0.514

Probability of getting money back = 0.108

Probability of winning = 0.378

Step-by-step explanation:

The number of tickets that lost = 57

The number of tickets where she got her money back = 12

The number of tickets that won = 42

The total number of tickets = 57 + 12 + 42 = 111

∴ The probability of her losing =

The probability of getting her money back =

The probability of winning =

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)