Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 145145 millimeters, and a standard deviation of 77 millimeters. If a random sample of 3131 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 33 millimeters

The probability that the sample mean would differ from the population mean by greater than 33 millimeters is 0.0174

Step-by-step explanation:

Standard deviation =

We are supposed to find the probability that the sample mean would differ from the population mean by greater than 3 millimeters

Using Z table

                   = 1-(0.9913-0.0087)

                  =0.0174

Hence  the probability that the sample mean would differ from the population mean by greater than 33 millimeters is 0.0174

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

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step-by-step explanation: