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
Answer:
13 teams and 3 people left over
Step-by-step explanation:
55/4 would be 13 with a remainder of 3. That 3 would be the number of people left over. And 13 would be the number of groups of four available.
Answer:
2-packs of candy bars for 0.38 is better to buy
Step-by-step explanation:
Well because 14 is nowhere near half of 950 (which is 475), 1/2 is bigger. I hope this helped.
Answer:
g(x)
Step-by-step explanation:
I compared the value