The answer is -9-18x
27−9x−9(x+4)=
27−9x−(9x+36)=
27−9x−9x−36=
Collect like terms.
(27−36)+(−9x−9x)= −9−18x
Answer: - 0.28
Explanation:
1) Expected value: is the weighted average of the values, being the probabilities the weight.
That is: ∑ of prbability of event i × value of event i.
In this case: (probability of getting 2 or 12) × (+6) + (probability of gettin 3 or 11) × (+2) + (probability of any other sum) × (-1).
2) Sample space:
Sum Points awarded
1+ 1 = 2 +6
1 + 2 = 3 +2
1 + 3 = 4 -1
1 + 4 = 5 -1
1 + 5 = 6 -1
1 + 6 = 7 -1
2 + 1 = 3 +2
2 + 2 = 4 -1
2 + 3 = 5 -1
2 + 4 = 6 -1
2 + 5 = 7 -1
2 + 6 = 8 -1
3 + 1 = 4 -1
3 + 2 = 5 -1
3 + 3 = 6 -1
3 + 4 = 7 -1
3 + 5 = 8 -1
3 + 6 = 9 -1
4 + 1 = 5 -1
4 + 2 = 6 -1
4 + 3 = 7 -1
4 + 4 = 8 -1
4 + 5 = 9 -1
4 + 6 = 10 -1
5 + 1 = 6 -1
5 + 2 = 7 -1
5 + 3 = 8 -1
5 + 4 = 9 -1
5 + 5 = 10 -1
5 + 6 = 11 +2
6 + 1 = 7 -1
6 + 2 = 8 -1
6 + 3 = 9 -1
6 + 4 = 10 -1
6 + 5 = 11 +2
6 + 6 = 12 +6
2) Probabilities
From that, there is:
- 2/36 probabilities to earn + 6 points.
- 4/36 probabilites to earn + 2 points
- the rest, 30/36 probabilities to earn - 1 points
3) Expected value = (2/36)(+6) + (4/36) (+2) + (30/36) (-1) = - 0.28
Y=-2x+0 haahahaha hope i helped i think
Answer:
![the \: equation \: of \: the \: line \: is \to \\ \boxed{ \underline{y = 2x - 8 }}](https://tex.z-dn.net/?f=the%20%5C%3A%20equation%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20line%20%5C%3A%20is%20%5Cto%20%5C%5C%20%20%20%5Cboxed%7B%20%5Cunderline%7By%20%3D%202x%20-%208%20%7D%7D)
Step-by-step explanation:
![according \: to \: the \: provided \: info : \\ the \: equation \: of \: the \: line \: is \to \\ y - y_{1} = m(x - x_{1}) \\ y - 6 = 2(x -7) \\ y = 2x - 14 + 6 \\ \underline{y = 2x - 8 }](https://tex.z-dn.net/?f=according%20%5C%3A%20to%20%5C%3A%20the%20%5C%3A%20provided%20%5C%3A%20info%20%3A%20%20%5C%5C%20the%20%5C%3A%20equation%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20line%20%5C%3A%20is%20%5Cto%20%5C%5C%20y%20-%20%20y_%7B1%7D%20%3D%20m%28x%20-%20x_%7B1%7D%29%20%5C%5C%20y%20-%206%20%3D%202%28x%20-7%29%20%5C%5C%20y%20%3D%202x%20-%2014%20%2B%206%20%5C%5C%20%20%5Cunderline%7By%20%3D%202x%20-%208%20%7D)