A homeowner stays in a single location for an average of 20 years with a standard deviation of 5.7 years. What are the chances that someone lives in their home for 40 years or more?

The Probability that someone lives in their home for 40 years or more

= 0.0002

Step-by-step explanation:

Explanation:-

Given mean of the Population = 20 years

The standard deviation of the Population = 5.7 years

Let 'X' be the random variable in normal distribution

The Probability that someone lives in their home for 40 years or more

                 =  1 - P( Z< 3.50)

                = 1 - ( 0.5 + A(3.50)

                = 0.5 - 0.4998     ( from normal table )

               = 0.0002

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

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is