In the given figure, ΔABC is a right triangle.
1 answer:
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Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
Using the Central Limit Theorem, it is found that:
- The mean is 0.23.
- The standard deviation is
.
- It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean
and standard deviation
- When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:
In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:
Hence, for the distribution of differences:
To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444