A fortune teller asks you to choose one card X out of five (consider the cards as numbered from 1 to 5) without showing it to him. He then asks you to pick a number from the subset no larger than X and tell him. Indicating this second number as Y, find the joint pmf of X and Y

45

step-by-step explanation:

smple

step-by-step explanation:

their are no angles. sorry cant .

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

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this