Answer:
And we can find this probability using the normal standard distribution table and we got:
And the percentage faster than 13.28 seconds would be 91.9%
Step-by-step explanation:
Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:
Where 
and 
We want to find this probability:
And we can use the z score formula given by:
Using this formula we have:
And we can find this probability using the normal standard distribution table and we got:
And the percentage faster than 13.28 seconds would be 91.9%
<em>y-intercept</em><em> </em><em>is</em><em> </em><em>where</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>graph</em><em> </em><em>crosses</em><em> </em><em>through</em><em> </em><em>the</em><em> </em><em>y-axis</em>
Use the distributive property to multiply 3 by x−4.
Subtract 5x on both sides.
Combine 3x and −5x to get −2x.
Add 12 to both sides.
![\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-2x%20%3E%202%2B12%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5BAdd%20%5C%202%20%2B12%5D%7D%7D)
Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.
![\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%20%3C%20%5Cdfrac%7B14%7D%7B-2%7D%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20%5BSplit%5D%7D%7D)
So in the <u>inequality 3(x-4)>5x +2</u>, the value of x is -7.
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is this the full question?
