Answer: <span><span>the domain of g [f(x) ] is the set of all real values except 7 and the x for which f(x) = - 3.</span>
Explanation:
Taking (g•f)(x) as (g o f) (x), this is g (x) composed with f(x) you have this analysis.
(g o f) (x) is g [ f(x) ], which means that you first apply the function f and then apply the function g to the output of f(x).
The domain of g [ f(x) ] has to exclude 7, because it is not included in the domain of f(x).
Also the domain thas to exclude those values of x for which f(x) is - 3, because the domain of g(x) is the set of all real values except - 3.
So, the domain of g [f(x) ] is the set of all real values except 7 and the x for which f(x) = - 3.
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The predicted value of the car in the year 2006 to the nearest dollar would be $651.
<h3>What is the predicted value of the car?</h3>
The first step is to determine the rate of depreciation
g = (FV/PV)^(1/n) - 1
Where:
FV = value of the car in 2001
PV = value of the car in 1993
n = number ofyears = 8
(2700/26,300)^(1/8) - 1 = -24.76%
Now determine the value of the car in 2006
2700x ( 1 - 0.2476)^5 = $651
To learn more about depreciation, please check: brainly.com/question/25552427
The answer is in the photo which I attached below
Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:

The proportion of sample means greater than 8.8 hours is <u>one subtracted by the p-value of Z when X = 8.8</u>, hence:

By the Central Limit Theorem


Z = 1.43
Z = 1.43 has a p-value of 0.9236.
1 - 0.9236 = 0.0764.
7.64% of of sample means are greater than 8.8 hours.
More can be learned about the normal distribution at brainly.com/question/25800303
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A. 0.434 B.0.873 C.0.117 D.0.990
A.0.389 B.0.211
Hope I helped
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