Apolitical scientist is analyzing the possible voting outcomes of a proposal. according to polls, the probability that a voter will vote yes is 50%. what is the probability that exactly 5 of the 10 individuals sampled will vote yes for the proposal? 0.246094 0.5 0.428291 0.530682

Option(A)

The probability that exactly 5 of the 10 individuals sampled will vote yes for the proposal is 0.246094 which is approx 0.25

Explanation:

We are given the probability the voter will vote yes is 50% and we have to find the probability that exactly 5 out of 10 individuals sampled will vote yes which is given by

=0.25

and 0.246094 is the nearest value hence it is the required answer.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

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