Toilet Flushing: 64% of Americans use their foot to flush the toilet in public restrooms. A simple random sample of 740 Americans woman aged 18-24 years are surveyed. Use the normal approximation to the binomial to approximate the probability that a. Approximate the probability that exactly 490 flush with their foot.

b. Approximate the probability that no more than 490 flush with their foot.

c. Approximate the probability that between 480 and 500 flush with their foot, inclusive.

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)

$119.20

step-by-step explanation:

$372.50 - 60% off is $149. $149-20% off is $119.20

the football players are volunteering for the test.

happy to

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