Ted has a bottle cap with a sticker on the inside of the cap. He throws the bottle cap up into the air to see which side it lands on more often. He calculates the relative frequency and estimates that the probability of the cap landing with the sticker side down is 0.4. If Ted tosses the cap 40 times, how many times should he expect it to land with the sticker side up?
A.
10
B.
16
C.
24
D.
40

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj

hope this is what you were asking for!

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb