Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20%20y_1%20%3D%20m%28x%20-%20%20x_1%29)
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
![\huge y + 5 = \frac{1}{2} (x - 6) \\](https://tex.z-dn.net/?f=%20%5Chuge%20y%20%2B%205%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%206%29%20%5C%5C%20)
Hope this helps you
Answer:
F(10) = P(x = 10) = 0.3
F(5) = P(x = 5) = 0.4
F(1) = P(x = 1) = 0.3
Step-by-step explanation:
Given the following :
Probability estimates given:
Very successful = 0.3
Moderately successful = 0.4
Unsuccessful = 0.3
Yearly revenue (X) :
Very successful = $10 million
Moderately successful = $5 million
Unsuccessful = $1 million
The probability mass function of X:
f(x) = probability of each valie of x
When x = 10:
F(10) = P(x = 10) = 0.3
When x = 5:
F(5) = P(x = 5) = 0.4
When x = 1:
F(1) = P(x = 1) = 0.3
Answer:
A. Yes
Step-by-step explanation:
I calculated it logically
1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:
So, we can now substitute in the coordinates of each of the options to see which point lies on the line.
- 3 = ⅓(6) + 5 -> 3 = 7, which is false.
- 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
- -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
- 3 = ⅓(-6) + 5 -> 3 = 3, which is true.
So, the answer is (4) (-6, 3)
2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:
- y - 5 = 0.75x - 1.5
- y = 0.75x + 3.5
So, we can now substitute in the coordinates of each of the options to see which point lies on the line.
- 8 = 0.75(6)+3.5 -> 8 = 8, which is true.
- 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
- 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
- 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.
So, the answer is (1) (6, 8).
The answer to the question