Answer:
- 5m + 8
Step-by-step explanation:
Given:
(2m + 3) - (7m - 5)
If you want to find the differences between two values, it means you are to subtract
(2m + 3) - (7m - 5)
This means subtract (7m - 5) from
(2m + 3)
Step 1: Open parenthesis
(2m + 3) - (7m - 5)
= 2m + 3 - 7m + 5
Group like terms
= 2m - 7m + 3 + 5
= - 5m + 8
Or
= 8 - 5m
The depth is what makes this a three dimensional figure since there are three dimensions: length, width, and depth! All three of these dimensions are used to find the volume of a rectangular prism.
The first answer is C.
The second answer is A.
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)
Answer:
last one
Step-by-step explanation:
2/32 = 1/16 gallons per mile WRONG
32/2 = 16 miles per gallon WRONG
3/42 = 1/14 gallons per mile WRONG
42/3 = 14 miles per gallon RIGHT
