The length of time needed to complete a certain test is normally distributed with mean 92 minutes and standard deviation 8 minutes. Find the probability that it will take less than 80 minutes to complete the test.

The probability that it will take less than 80 minutes

  P(X≤80) = 0.0768        

Step-by-step explanation:

Step(i):-

Given mean of the Population = 92 minutes

Given standard deviation of the Population = 8 minutes

Let 'X' be the random variable in normal distribution

Let 'X' = 80 minutes

Step(ii):-

The probability that it will take less than 80 minutes

P(X≤80) = P(Z≤-1.5)

            =  0.5 - A(1.5)

            = 0.5 - 0.4232

           =0.0768

Final -

The probability that it will take less than 80 minutes

  P(X≤80) = 0.0768        

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation: