To solve the problem we must know about Z-Score.
<h3>What is Z-score?</h3>
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
![Z = \dfrac{X- \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7BX-%20%5Cmu%7D%7B%5Csigma%7D)
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
The life span of an appliance that has a z-score of –3 is 24 months.
Given to us
- Mean, μ = 48 months,
- standard deviation, σ = 8 months,
- Z-Score = -3
<h3> What is the life span of an appliance?</h3>
The life span of the appliance can be calculated using the Z-score formula,
![Z = \dfrac{X- \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7BX-%20%5Cmu%7D%7B%5Csigma%7D)
Substitute the values,
![-3 = \dfrac{X- 48}{8}\\\\-3 \times 8 = X - 48\\\\-24+48=X\\\\X = 24\ months](https://tex.z-dn.net/?f=-3%20%3D%20%5Cdfrac%7BX-%2048%7D%7B8%7D%5C%5C%5C%5C-3%20%5Ctimes%208%20%3D%20X%20-%2048%5C%5C%5C%5C-24%2B48%3DX%5C%5C%5C%5CX%20%3D%2024%5C%20months)
Hence, the life span of an appliance that has a z-score of –3 is 24 months.
Learn more about Z-score:
brainly.com/question/13299273
9514 1404 393
Answer:
-2
Step-by-step explanation:
The slope formula can be used. Fill in the given information and solve for b.
m = (y2 -y1)/(x2 -x1)
-3/4 = (b -4)/(6 -(-2))
-6 = b -4 . . . . . . multiply by 8
-2 = b . . . . . . . . add 4
The value of b is -2.
Answer:
use desmos.
Step-by-step explanation:
demos. All you have to do is out the equation into Desmos and it will graph it for you. You can look and learn.
Answer:
Step-by-step explanation:
18. x + 25 = 55
x = 30
19. 2x - 5 = 95
2x = 100
x = 50
20. 3x - 22 = 2x + 26
x - 22 = 26
x = 48
21. 3x - 18 + 105 = 180
3x + 87 = 180
3x = 93
x = 31
22. 19x + 17x = 180
36x = 180
x = 5
27(5) = 135
23. 5x + 40 + 2x = 180
7x + 40 = 140
7x = 140
x = 20
5(20) = 100
2(20) = 40
5(20) + 40 = 100 + 40 = 140