Answer:
a
The average cost is 
b
The standard deviation of cost is
Step-by-step explanation:
From the question we are told that




The cost of replacing the two component is C = 50 + 2 X + 4 Y
The variance of X is mathematically represented as
V(X) =
Substituting values
![V[X] = 24 - 4^2](https://tex.z-dn.net/?f=V%5BX%5D%20%3D%20%2024%20-%204%5E2)
![V[X] =8](https://tex.z-dn.net/?f=V%5BX%5D%20%3D8)
The variance of Y is mathematically represented as
V(Y) =
Substituting values
![V[Y] = 8 - 2^2](https://tex.z-dn.net/?f=V%5BY%5D%20%3D%20%208%20-%202%5E2)
![V[X] =4](https://tex.z-dn.net/?f=V%5BX%5D%20%3D4)
The average of replacing the two component is

substituting value


The variance of replacing the two component is
Note: The variance of constant is zero
and X and Y are independent
=> 
substituting values
=>
=>
=> 
The standard deviation is
substituting values
Answer:
B
Step-by-step explanation:
I believe it is B because it is the only one that doesnt have x values that repeat and give different answers.
Ex. For a, the x value in the first and third coords gives both 1 and 3 as answers.
Every x has to have a unique y value, so
(2,10) (3,12) is ok, but (2,10) (2,12) is not.
Sorry if this doesnt make sense haha
Answer:
Discrete variable
Step-by-step explanation:
We are given the following in the question:
Variable:
Total number of points scored in a football game
Discrete and continuous data:
- Discrete data is the data that can be expressed in whole numbers. They cannot take all the values within an interval.
- Discrete variables are usually counted and not measured.
- Continuous variable can be expressed in fractions and can take any value within an interval.
- Continuous variable are usually measured and not counted.
Since, total number of points score in a foot game are expressed in whole numbers and cannot be expressed in decimals, they are discrete variable. They cannot take all the values within an interval and they are usually counted.
Thus,
Total number of points scored in a football game is a discrete variable.
Answer:
Step-by-step explanation:
purple pencil 1/5 = 0.2
black pen 2/3 = 0.67
Answer:
14 9/16 - 8 1/4 = 14 9/16 - 8 4/16 = 233/16 - 132/16 = 101/16 = 6 5/16 ~~ 6
14 9/16 - 8 1/4 = 6