The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
1 answer:
Answer: 61,750 miles
Step-by-step explanation:
Given : The p-value of the tires to outlast the warranty = 0.96
The probability that corresponds to 0.96 from a Normal distribution table is 1.75.
Mean :
Standard deviation :
The formula for z-score is given by : -
Hence, the tread life of tire should be 61,750 miles if they want 96% of the tires to outlast the warranty.
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The transformation of a function may involve any change. The transformation of the function is Right shift by 90 units.
<h3>How does the transformation of a function happen?</h3>The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units:
y=f(x+c) (same output, but c units earlier)
Right shift by c units:
y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k:
Horizontal stretch by a factor k:
Since the function is transformed from f(x)=x to g(x)=x-90, therefore, the transformation of the function is Right shift by 90 units.
Learn more about Transforming functions:
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