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,

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,

Substitute the values,

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:
The amount the car will be worth after 6 years is £21,917 and 22 pence
Step-by-step explanation:
The amount for which Colin buys the car, PV = £28,100
The amount by which the car depreciates each year, r = 4%
The number of years after which the value of the car is sought, n = 6 years
The future value, FV, based on an annual depreciation is given as follows;

Substituting the known values gives;

Therefore, the amount the car will be worth after 6 years, future value FV₆ = £21,917 and 22 pence
Slope formula -- y1-y2 over x1 - x2 = -5
Answer:
90 counterclockwise or 270 degrees clockwise
The picture in the attached figure
we know that
in the right triangle ABC
sin A=opposite side angle A/hypotenuse
in this problem
opposite side angle A=BC-----> 10
hypotenuse=AB-----> 26
so
sin A=10/36------> sin A=0.3846------> sin A=0.385
the answer isthe option <span>
d. 0.385</span>