Homework: homework 3 score: 0 of 1 pt 54 of 55 x *8.2.31 given the following probabilities for an event e, find the odds for and against e 8 (a)s (b) (c)0.74 (d) 0.59 for all answers, type the odds as a fraction. simplify your answers. (a) odds for odds against

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step-by-step explanation:

the answer is 21%.

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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)