Answer:
E(X) = 0.64
Sd(X) = 0.933
Step-by-step explanation:
3(0.07) + 2(0.11) + 1(0.21)
E(X²) = 3²(0.07) + 2²(0.11) + 1²(0.21)
= 1.28
Var(X) = 1.28 - 0.64² = 0.8704
Sd = 0.933
3x + 2. Slope: 3. Y-intercept: 2
The 2 is where the line falls on the y axis it is called the y-intercept. It is 3x because you need to go up 3 left one to get to the next point on the line. It could also be known as 3/1 that simplifies to 3. This is the slope so if you just want the slope it would be 3. Think about it this way start at the 2 or the y-intercept now how many points do you need to go to get to the next point. Go up 3 and over 1 and you would get to -1, 5. Make sense?
I’m not guessing i’m thinking and I think it’s not C or B so it’s either A or D
Rewriting the equation of the given line in slope-intercept form,
![-x-4y=1\\\\-4y=x+1\\\\4y=-x-1\\\\y=-\frac{1}{4}x-\frac{1}{4}](https://tex.z-dn.net/?f=-x-4y%3D1%5C%5C%5C%5C-4y%3Dx%2B1%5C%5C%5C%5C4y%3D-x-1%5C%5C%5C%5Cy%3D-%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B1%7D%7B4%7D)
From this, we know the slope of the given line is -1/4.
Since parallel lines have the same slope, we know the line whose equation we want to find has a slope of -1/4.
Substituting into point-slope form,
![y=-\frac{1}{4}(x+4)\\\\\boxed{y=-\frac{1}{4}x-1}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7D%28x%2B4%29%5C%5C%5C%5C%5Cboxed%7By%3D-%5Cfrac%7B1%7D%7B4%7Dx-1%7D)
I beleive the correct answer would be the either the second, or the last one, but you go with whatever feels more comfortable. Hope this was helpful! (: