In a random sample of 85 people attending a workshop, 63 of the respondents said the workshop was useful. what is the sample proportion of the people who said the workshop was useful?

= 0.741.

Step-by-step explanation:

Given : In a random sample of 85 people attending a workshop, 63 of the respondents said the workshop was useful.

To find : What is the sample proportion of the people who said the workshop was useful.

Solution : We have given that :

People attending workshop = 85.

Respondents said the workshop was useful = 65 .

Proportion   = .

Proportion : .

Proportion : 0.741

Therefore,   = 0.741.

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step-by-step explanation:

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