Answer:
This project has a positive Expected Monetary Value, so it is expected to make money. This means that the company should be advised to make the bid.
Step-by-step explanation:
We have to find the expected monetary value of this project.
If it is positive, the company should make the bid. Otherwise, they should not make the bid.
There is a 20% probability of the bid being accepted. If the bid is accepted, the company would make $26,000 and lose $4,000. So the expected net earning is $26,000-$4,000 = $22,000.
There is an 80% probability of the bid being rejected. In this case, the company loses $4,000.
The Expected Monetary Value of the project is:
.
This project has a positive Expected Monetary Value, so it is expected to make money. This means that the company should be advised to make the bid.
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
To put this into slope-intercept form, you need to isolate/get the variable "y" by itself in the equation:
8x - 6y = 6 Subtract 8x on both sides
8x - 8x - 6y = 6 - 8x
-6y = -8x + 6 Divide -6 on both sides to get "y" by itself



Answer: 0.064
Step-by-step explanation:
Binomial probability formula :-
, where P(x) is the probability of getting success in x trials, n is total number of trials and p is the probability of getting succes in each trial.
Given : The proportion of the homes constructed in the Quail Creek area include a security system : 
Now, if three homes are selected at random, then the probability all three of the selected homes have a security system is given by :-

Hence, the probability all three of the selected homes have a security system = 0.064
Answer:
C, (6,4)
Step-by-step explanation:
The points (x,y) that lie on the line must fit into the equation correctly. So, we can test out the 4 options to see whether they fit correctly into the equation.
A:
y-4
= -4 -4 = -8
-2(x-6)
= -2 (-6-6)
= 24
Since -8≠24, so A is incorrect.
B:
y -4 = -6-4 = -10
-2(x-6) = -2 (-4-6) = 20
-10≠20, so B is incorrect.
C:
y-4 = 4 -4 = 0
-2(x-6) = -2(6-6) = 0
Both sides are equal. C is correct.
But lets test D out too.
y-4 = 6-4 = 2
-2(x-6) = -2(4-6) = 4
2≠4, so D is incorrect.