The mean finish time for a yearly amateur auto race was 186.37 minutes with a standard deviation of 0.323 minute. the winning car, driven by ted, finished in 185.82 minutes. the previous year's race had a mean finishing time of 112.6 with a standard deviation of 0.141 minute. the winning car that year, driven by karen, finished in 112.25 minutes. find their respective z-scores. who had the more convincing victory?

Ted had a more convincing victory with about 4.46%

The z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

For ted, μ = 186.37 minutes , σ = 0.323

For x < 185.82 minutes:

From the normal distribution table, P(z < -1.70) = 0.0446 = 4.46%

For karen, μ = 112.6 minutes , σ = 0.141

For x < 112.25 minutes:

From the normal distribution table, P(z < -2.48) = 0.0066 = 0.6%

Hence Ted had a more convincing victory with about 4.46%

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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

the  office resources  are the human, physical and financial  resources  which are utilized for performing all the activities in order to achieve the organizational objectives.

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