Let x be the the capacity of a beam. the cdf of x is given as: f(x) = 1 − 10 x 4 , x ≥ 10 = 0 , x < 10 1 • determine median of x? • what is the expected capacity of the beam? • if the load on the beam can take values 15, 20, and 25 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the beam? assume the beam fails when the load is higher than the capacity.

1.0

step-by-step explanation:

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

12

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