Answer: 10x-6
Step-by-step explanation:
2(3x+6)+2(2x-4)
=> 6x+12+4x-8
=> 10x-6
Have a nice day! :)
Answer:
y=3x-2
Step-by-step explanation:
parallel is with the same slope
so plug in y and x into y-Y=m(x-X)
so it be y-(-4)=3(x-2)
y+4=3x-6
subtract 4 from both sides
y=3x-2
Answer:
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Answer:
0.3950
Step-by-step explanation:
Any team team will win the championship with probability 63% that is
P(W)=0.63
when teams win the championship, they win the first game of the series 72% of the time that is
P(F|W)=0.72
When they lose the championship, they win the first game 27% of the time.
P(F|W')=0.27
The probability that they will win the World Series when the first game is over and your team has lost that is
P(W|F')
Now, By Bayes theorem
![\begin{array}{l}P\left(W | F^{\prime}\right)=\frac{P\left(F^{\prime} | W\right) P(W)}{P\left(F^{\prime} | W\right) P(W)+P\left(F^{\prime} | W^{\prime}\right) P\left(W^{\prime}\right)} \\\quad=\frac{[1-P(F | W)] P(W)}{[1-P(F | W)] P(W)+\left[1-P\left(F | W^{\prime}\right)\right][1-P(W)]} \\\quad=\frac{[1-0.72] \times 0.63}{[1-0.72] \times 0.63+[1-0.27][1-0.63]} \\\quad=\frac{0.28\times 0.63}{0.28\times 0.63+0.73 \times 0.37} \\=0.3950\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%3C%2Fp%3E%3Cp%3EP%5Cleft%28W%20%7C%20F%5E%7B%5Cprime%7D%5Cright%29%3D%5Cfrac%7BP%5Cleft%28F%5E%7B%5Cprime%7D%20%7C%20W%5Cright%29%20P%28W%29%7D%7BP%5Cleft%28F%5E%7B%5Cprime%7D%20%7C%20W%5Cright%29%20P%28W%29%2BP%5Cleft%28F%5E%7B%5Cprime%7D%20%7C%20W%5E%7B%5Cprime%7D%5Cright%29%20P%5Cleft%28W%5E%7B%5Cprime%7D%5Cright%29%7D%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Cquad%3D%5Cfrac%7B%5B1-P%28F%20%7C%20W%29%5D%20P%28W%29%7D%7B%5B1-P%28F%20%7C%20W%29%5D%20P%28W%29%2B%5Cleft%5B1-P%5Cleft%28F%20%7C%20W%5E%7B%5Cprime%7D%5Cright%29%5Cright%5D%5B1-P%28W%29%5D%7D%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Cquad%3D%5Cfrac%7B%5B1-0.72%5D%20%5Ctimes%200.63%7D%7B%5B1-0.72%5D%20%5Ctimes%200.63%2B%5B1-0.27%5D%5B1-0.63%5D%7D%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Cquad%3D%5Cfrac%7B0.28%5Ctimes%200.63%7D%7B0.28%5Ctimes%200.63%2B0.73%20%5Ctimes%200.37%7D%20%5C%5C%3C%2Fp%3E%3Cp%3E%3D0.3950%5Cend%7Barray%7D)
