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:
-1
Step-by-step explanation:
Plug 7 in for wherever there's an "x."
f(x) = 2(7) - 6
f(x) = 14 - 6
f(x) = 8
Now subtract 9 from 8.
8 - 9 = -1
Let a and b represent the heights of the corresponding buildings (in meters).
... a = b +271 . . . . . . . a is 271 meters taller than b
... 2b -a = 211 . . . . . . if a is subtracted from twice b, the result is 211
Use the expression for a in the first equation to substitute for a in the second.
... 2b - (b+271) = 211
... b = 482 . . . . . . . . . . . simplify and add 271
... a = b +271 = 753
Building a is 753 meters tall; building b is 482 meters tall.
Equation (B) "y = 3x + 10" represents the growth of the puppy.
<h3>
What are equations?</h3>
- An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value.
- Like 3x plus 5 equals 15, for example.
- Different types of equations exist, such as linear, quadratic, cubic, and others.
- The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.
So, the equation that represents the situation:
- The weight increase is: (10, 13, 16, 19, 22, 25)
- We can observe that every time, there is a rise of 3lbs of weight.
- Now, let 10 be a constant as the weight is starting from 10 lbs.
- And 'x' be the number of time Salomon tracks the weight.
Then:
For example, Salomon checks the weight for the 6th time then:
- y = 3x + 10
- y = 3(5) + 10
- y = 15 + 10
- y = 25
So, the equation is correct.
Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.
Know more about equations here:
brainly.com/question/28937794
#SPJ13
The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}
Which equation represents the growth of the puppy? Select one:
A. y = x + 3
B. y = 3x + 10
C. y = 10x + 3
D. y = x + 10
Answer:
by my best guess, x = -5 (negative five)
Step-by-step explanation:
