In a school of 1250 students, 250 are freshmen and 150 students take spanish. the probability that a student takes spanish given that he/she is a freshman is 30%. are being a freshman and taking spanish independent?
a) yes. p(s∩f) = p(s)·p(f) = 6%
b) no. p(s∩f) = 6% and p(s)·p(f) = 2.4%
c) no. p(s∩f) = 30% and p(s)·p(f) = 2.4%
d) no. p(s∩f) = 32% and p(s)·p(f) = 2.4%

ans789

step-by-step explanation:

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

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)

believe it or not anna is correct good job anna give me a fist bump there u go gal