2x-8(-7-x)=6
2x+56+8x=6
10x=-50
x=-5
y=-7-(-5)
y=-2
(-5,-2)
Part A:
The probability that a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:
![P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\sigma}\right)](https://tex.z-dn.net/?f=P%28x%5C%20%5Ctextgreater%20%5C%20a%29%3D1-P%28x%5C%20%5Ctextless%20%5C%20a%29%3D1-P%5Cleft%28z%5C%20%5Ctextless%20%5C%20%20%5Cfrac%7Ba-%5Cmu%7D%7B%5Csigma%7D%5Cright%29)
Given that the average precipitation in
Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that <span>a randomly selected year will have precipitation greater than 18 inches for the first 7 months is given by:
![P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\ \\ =1-P\left(z\ \textless \ \frac{18-19.32}{2.44}\right) \\ \\ =1-P(z\ \textless \ -0.5410) \\ \\ =1-0.29426=\bold{0.7057}](https://tex.z-dn.net/?f=P%28x%5C%20%5Ctextgreater%20%5C%2018%29%3D1-P%28x%5C%20%5Ctextless%20%5C%2018%29%20%5C%5C%20%20%5C%5C%20%3D1-P%5Cleft%28z%5C%20%5Ctextless%20%5C%20%5Cfrac%7B18-19.32%7D%7B2.44%7D%5Cright%29%20%5C%5C%20%20%5C%5C%20%3D1-P%28z%5C%20%5Ctextless%20%5C%20-0.5410%29%20%5C%5C%20%20%5C%5C%20%3D1-0.29426%3D%5Cbold%7B0.7057%7D%20)
Part B:
</span>The probability that an n randomly selected samples of a normally distributed data with a mean, μ and
standard deviation, σ is greater than a given value, a is given by:
![P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\frac{\sigma}{\sqrt{n}}}\right)](https://tex.z-dn.net/?f=P%28x%5C%20%5Ctextgreater%20%5C%20a%29%3D1-P%28x%5C%20%5Ctextless%20%5C%20a%29%3D1-P%5Cleft%28z%5C%20%5Ctextless%20%5C%20%5Cfrac%7Ba-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%5Cright%29)
Given that the average precipitation in
Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that <span>5 randomly selected years will have precipitation greater than 18 inches for the first 7 months is given by:
</span>
Instead of subtracting 6 from 12 then dividing they added 6 to 12 & ended up with 18. 18 by 2 is 9.
AB and BC.
Also, it is EXTREMELY important that you put an arrow facing to the left above AB and an arrow facing to the right above BC.