Answer:
Equation:
![6(7.6x+10.4)=737.28](https://tex.z-dn.net/?f=6%287.6x%2B10.4%29%3D737.28)
Solution:
![x=14.8\ centimeters](https://tex.z-dn.net/?f=x%3D14.8%5C%20centimeters)
Step-by-step explanation:
<u>Perimeter of a hexagon
</u>
We are given the length of the side of a regular hexagon
![l=7.6x+10.4\ centimeters](https://tex.z-dn.net/?f=l%3D7.6x%2B10.4%5C%20centimeters)
And we also know the perimeter of the hexagon is
![P=737.28\ centimeters](https://tex.z-dn.net/?f=P%3D737.28%5C%20centimeters)
The perimeter of a regular hexagon is 6 times its side, so
![P=6l=6(7.6x+10.4)](https://tex.z-dn.net/?f=P%3D6l%3D6%287.6x%2B10.4%29)
The equation that will give the relation to solve for x is
![6(7.6x+10.4)=737.28](https://tex.z-dn.net/?f=6%287.6x%2B10.4%29%3D737.28)
Reducing
![7.6x+10.4=122.88](https://tex.z-dn.net/?f=7.6x%2B10.4%3D122.88)
![7.6x=122.88-10.4=112.48](https://tex.z-dn.net/?f=7.6x%3D122.88-10.4%3D112.48)
![\displaystyle x=\frac{112.48}{7.6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B112.48%7D%7B7.6%7D)
![x=14.8\ centimeters](https://tex.z-dn.net/?f=x%3D14.8%5C%20centimeters)
Answer:
0.0075
Step-by-step explanation:
According to the given situation, the calculation of the probability that the TPMS will trigger a warning is shown below:-
The tire pressure which is 26% below the target pressure is
![= 26\% \times 28](https://tex.z-dn.net/?f=%3D%2026%5C%25%20%5Ctimes%2028)
= 7.28
Therefore, Tire pressure monitoring systems warn at below is
= 28 - 7.28
= 20.72
Now we will assume tire pressure be x
So,
![P(X](https://tex.z-dn.net/?f=P%28X%3C20.72%29%20%3D%20P%28%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3C%5Cfrac%7B20.72-28%7D%7B3%7D%20%29)
After solving the above equation we will get
= ![P(X](https://tex.z-dn.net/?f=P%28X%3C20.72%29%20%3D%20P%28Z%3C-2.43%29)
we will get
= 0.0075
Domain is x values... Y is y values
54 boo . Divide 189 by 7 then multiply by 2 which is 54