Answer:
35%
Step-by-step explanation:
Answer:
The probability that a radio selected at random will last from 600 to 700 hours is 0.3413
Step-by-step explanation:
The playing life of a Sunshine radio is normally distributed
Mean =![\mu = 600 hours](https://tex.z-dn.net/?f=%5Cmu%20%3D%20600%20hours)
Standard deviation =![\sigma = 100 hours](https://tex.z-dn.net/?f=%5Csigma%20%3D%20100%20hours)
We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)
Formula:![Z= \frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
At x = 600
![Z= \frac{600-600}{100}](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B600-600%7D%7B100%7D)
Z=0
![P(X](https://tex.z-dn.net/?f=P%28X%3C600%29%3DP%28z%3C0%29%3D0.5)
At x = 700
![Z= \frac{700-600}{100}](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B700-600%7D%7B100%7D)
Z=1
![P(X](https://tex.z-dn.net/?f=P%28X%3C700%29%3DP%28z%3C1%29%3D0.8413)
![P(600](https://tex.z-dn.net/?f=P%28600%3Cx%3C700%29%3DP%28x%3C700%29-P%28x%3C600%29%3D0.8413-0.5%3D0.3413)
Hence the probability that a radio selected at random will last from 600 to 700 hours is 0.3413
There is only solutions to the systems of equations - y = x -2 & y = -x + 2. We can find this by looking at the slopes of each line, which is 1 and -1. They are not negative reciprocals or the same exact slope, which would give the system of equations no solutions. Since the lines are not exactly the same, the system does not have infinitely many solutions. A system of LINEAR equations cannot have two solutions, giving us an answer of only one solution. Hope this helps!
Answer:
6+12b
Step-by-step explanation:
i took a test with this question and got it right