Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean : 
Standard deviation: 
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x: 
At x= 0.75, 

Using standard normal table for z-value,
P-value : 
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%
Answer:-$60
Step-by-step explanation: the answer is -$60 because multiply 40 by 4 you get $160 and you only have $100 so then you would 100-160=-60
Just substitute - 2 into x and solve.
Answer:
16 pi cubic units
Step-by-step explanation:
Given that a region is bounded by

And the region is rotated about x axis.
We can find that here radius would be y value and height would be dx
So volume would be as follows:
If f(x) is rotated about x axis volume
= 
cubic units.
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