Answer:
The percentage is ![P(X > 145 ) = 44.811\%](https://tex.z-dn.net/?f=P%28X%20%3E%20%20145%20%20%20%29%20%3D%20%2044.811%5C%25)
Step-by-step explanation:
From the question we are told that
The mean is ![\mu = 139](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%20139)
The standard deviation is ![\sigma = 46](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%2046)
The weight Scott can bench is x = 145 pounds
Generally the percentage of statisticians that can bench more than Scott is mathematically represented as
![P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x- 139 }{46 } )](https://tex.z-dn.net/?f=P%28X%20%3E%20%20x%20%20%29%20%3D%20%20P%28%5Cfrac%7BX%20-%20%5Cmu%20%7D%7B%5Csigma%20%7D%20%20%3E%20%20%5Cfrac%7Bx-%20139%20%7D%7B46%20%7D%20%29)
=> ![P(X > 145 ) = P(\frac{X - \mu }{\sigma } > \frac{145 - 139 }{46 } )](https://tex.z-dn.net/?f=P%28X%20%3E%20%20145%20%20%29%20%3D%20%20P%28%5Cfrac%7BX%20-%20%5Cmu%20%7D%7B%5Csigma%20%7D%20%20%3E%20%20%5Cfrac%7B145%20-%20139%20%7D%7B46%20%7D%20%29)
![\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )](https://tex.z-dn.net/?f=%5Cfrac%7BX%20-%5Cmu%7D%7B%5Csigma%20%7D%20%20%3D%20%20Z%20%28The%20%20%5C%20standardized%20%5C%20%20value%5C%20%20of%20%20%5C%20X%20%29)
![P(X > 145 ) = P(Z > 0.13043)](https://tex.z-dn.net/?f=P%28X%20%3E%20%20145%20%20%29%20%3D%20%20P%28Z%20%3E%20%200.13043%29)
From the z table
The area under the normal curve to the right corresponding to 0.13043 is
![P(Z > 0.13043) = 0.44811](https://tex.z-dn.net/?f=P%28Z%20%3E%20%200.13043%29%20%20%3D%200.44811)
=> ![P(X > 145 ) = 0.44811](https://tex.z-dn.net/?f=P%28X%20%3E%20%20145%20%20%20%29%20%3D%20%200.44811)
Converting to percentage
![P(X > 145 ) = 0.44811 * 100](https://tex.z-dn.net/?f=P%28X%20%3E%20%20145%20%20%20%29%20%3D%20%200.44811%20%20%2A%20100)
=> ![P(X > 145 ) = 44.811\%](https://tex.z-dn.net/?f=P%28X%20%3E%20%20145%20%20%20%29%20%3D%20%2044.811%5C%25)
3x-15/x+3= 3x-6/5x-10
so this is how you set it up then you can solve for x
Answer:
6 hours.
Step-by-step explanation:
She has already travelled 45 miles so there's another 393-45 = 348 miles to travel. So if she continues at 58 mph she will take 348 / 58 = 6 hours.