Which of the following interpretations of the mean is correct?
a. the observed number of marriages will be less than the mean number of marriages for most individuals.
b. if many individuals aged 15 year or older were surveyed, one would expect the mean number of marriages to be the mean of the random variable.
c. if any number of individuals aged 15 year or older were surveyed, one would expect the mean number of marriages to be the mean of the random variable.
d. the observed number of marriages will be equal to the mean number of marriages for most individuals.

answer: it's d

step-by-step explanation:

first one because it can't have a fraction in it

step-by-step explanation:

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)