Arandom sample of 125 high school students were asked if they plan to go to college. the results are shown in the table.
male plan to go to college 40 do not plan to go to college10
female plan to go to college 60 do not plan to go to college 15
select a word or phrase from the drop-down menu to correctly complete the statement describing the association.
there appears to be association between planning to go to college and gender. a. no b. an c. a strong d. a weak

A. NO

Step-by-step explanation:

There are a total of 40+10 = 50 males and 60+15 = 75 females.

Out of the males, 40 plan to go to college; this is 40/50 = 0.8.

Out of the females, 60 plan to go to college; this is 60/75 = 0.8.

Since the relative frequencies are the same, there is no association between the variables.

the answer is 62.8 cubic units

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)