Answer:
Mean = 1.42
Variance = 0.58
Step-by-step explanation:
Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.
Also, joint probability function of X and Y are given.
To find:
mean and variance of X
Solution:
From the given joint probability function of X and Y,

Mean of X:

Variance of X:

![var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58](https://tex.z-dn.net/?f=var%28X%29%3DE%5Cleft%20%5B%20X%5E2%20%5Cright%20%5D-%5Cleft%20%28%20E%5Cleft%20%5B%20X%20%5Cright%20%5D%20%5Cright%20%29%5E2%5C%5C%3D%5Cfrac%7B31%7D%7B12%7D-%5Cleft%20%28%20%5Cfrac%7B17%7D%7B12%7D%20%5Cright%20%29%5E2%5C%5C%3D%5Cfrac%7B31%7D%7B12%7D-%5Cfrac%7B289%7D%7B144%7D%5C%5C%3D%5Cfrac%7B372-289%7D%7B144%7D%5C%5C%3D%5Cfrac%7B83%7D%7B144%7D%5C%5C%3D0.58)
For this one, find out how many hour have passed per day with 6 pm Friday being where you start.
6 pm Friday- 6 pm Saturday =24
6 pm Saturday - 6 pm Sunday= 24
6 pm Sunday - 6 am Monday = 12 hours
6 am Monday until 8 am Monday= 2 hours
Now just add the amount of hours together
24+24+12+2= 62 hours
Now convert that to minutes.
There are 60 minutes in 1 hour. You multiply the amount of hours by 60 to get the minutes.
62 hours times 60 minutes in 1 hour
62*60= 3720.
So you will have a total of 3,720 minutes of tape to review.
9 5/6+5 1/6= 14 6/6=15
Most Simplified Answer: 15
Answer:
x=7
Step-by-step explanation:

now let’s put together the like terms


now we divide
By 
the result is

Answer: $7.50 Off
Step-by-step explanation: To find the total amount of savings for a $15 skateboard that has a 50% discount, you‘ll have to simply divide $15 by 2 because 2 represents 50% or <u>half</u> of $15. This will give you a final answer or result of $7.50 off for a $15 skateboard.