Cast a die a number of independent times until a six appears on the up side of the die. (a) find the pmf p(x) of x, the number of casts needed to obtain that first six. (b) show that =1 p(x) = 1. (c) determine p(x = 1,3,5, (d) find the cdf f(x) = p(x ≤ x).

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation:

answer: '

the distance between points l and m

step-by-step explanation: