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skywil8981
19.10.2019 •
Mathematics
Pvc pipe is manufactured with mean diameter of 1.01 inch and a standard deviation of 0.003 inch. find the probability that a random sample of n = 9 sections of pipe will have a sample mean diameter greater than 1.009 inch and less than 1.012 inch.
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Ответ:
0.8186
Step-by-step explanation:
Given: Mean :![\mu=1.01\text{ inch}](/tpl/images/0333/1838/7f401.png)
Standard deviation :![\sigma=0.003\text{ inch}](/tpl/images/0333/1838/cc9d6.png)
Sample size :![n=9](/tpl/images/0333/1838/cefe5.png)
The formula to calculate z-score :-
For x=1.009 inch
For x=1.012 inch
Now, The p-value =![P(-1](/tpl/images/0333/1838/fcd0d.png)
Hence, the required probability = 0.8186
Ответ:
Hope this helped! :)
May i have brainliest!?
x=5
Step-by-step explanation:
19x + -18 = 7x + 1 + 10x + -9
Reorder the terms:
-18 + 19x = 7x + 1 + 10x + -9
Reorder the terms:
-18 + 19x = 1 + -9 + 7x + 10x
Combine like terms: 1 + -9 = -8
-18 + 19x = -8 + 7x + 10x
Combine like terms: 7x + 10x = 17x
-18 + 19x = -8 + 17x
Solving
-18 + 19x = -8 + 17x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-17x' to each side of the equation.
-18 + 19x + -17x = -8 + 17x + -17x
Combine like terms: 19x + -17x = 2x
-18 + 2x = -8 + 17x + -17x
Combine like terms: 17x + -17x = 0
-18 + 2x = -8 + 0
-18 + 2x = -8
Add '18' to each side of the equation.
-18 + 18 + 2x = -8 + 18
Combine like terms: -18 + 18 = 0
0 + 2x = -8 + 18
2x = -8 + 18
Combine like terms: -8 + 18 = 10
2x = 10
Divide each side by '2'.
x = 5
Simplifying
x = 5