Amanufacturer produces gears for use in an engine’s transmission that have a mean diameter of 10.00 mm and a standard deviation of 0.03 mm. the length of these diameters follows the normal distribution. what is the probability that a randomly selected gear has a diameter between 9.96 mm and 10.01 mm?

0.2789

Step-by-step explanation:

Given: Mean :

Standard deviation :

The formula to calculate z-score is given by :_

For x= 9.96 mm, we have

For x= 10.01 mm, we have

The P-value =

Hence, the probability that a randomly selected gear has a diameter between 9.96 mm and 10.01 mm =0.2789

14

step-by-step explanation:

14 x 3 = 42

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

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