16 + (-9) + 2 = 9 Well sixteen plus negative nine plus two is equaled out to be positive nine.
Using the Empirical Rule, it is found that 95% of the employees will have a travel time within the following range:
B. 8 minutes to 28 minutes.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Considering that the mean time is 18 minutes and the standard deviation is 5 minutes, the the bounds of the 95% range are given by:
Hence option B is correct.
More can be learned about the Empirical Rule at brainly.com/question/24537145
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Answer:
12 m
Step-by-step explanation:
using the congruence thereom:
2x-4 or (RS) = 14 or (LN)
solving for x we see that x=9
then we plug in 9 into the side LM and we get 12
ANSWER: 12
Answer:
The correct answer is:
Step-by-step explanation:
Given that:
![h(x) = f\circ g(x)= \sqrt[3]{x+3}](https://tex.z-dn.net/?f=h%28x%29%20%3D%20f%5Ccirc%20g%28x%29%3D%20%5Csqrt%5B3%5D%7Bx%2B3%7D)
![f(x) = \sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%2B2%7D)
To find:
Solution:
Let 
We have
![f\circ g(x)= \sqrt[3]{x+3}\\OR\\f( g(x))= \sqrt[3]{x+3}](https://tex.z-dn.net/?f=f%5Ccirc%20g%28x%29%3D%20%5Csqrt%5B3%5D%7Bx%2B3%7D%5C%5COR%5C%5Cf%28%20g%28x%29%29%3D%20%5Csqrt%5B3%5D%7Bx%2B3%7D)
...... (1)
Now, we have let:
Putting x = in f(x), we get
![f(x) = \sqrt[3]{x+2}\\\Rightarrow f(m) = \sqrt[3]{m+2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%2B2%7D%5C%5C%5CRightarrow%20f%28m%29%20%3D%20%5Csqrt%5B3%5D%7Bm%2B2%7D)
....... (2)
Comparing equation (1) and (2):
![\sqrt[3]{x+3} =\sqrt[3]{m+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B3%7D%20%3D%5Csqrt%5B3%5D%7Bm%2B2%7D)
Taking cubes both sides:
Hence,
The <em>correct answer </em>is:
Area = (5x + 4)(4x - 4)
= 20x^2 - 20x + 16x - 16
= 20x^2 - 4x - 16 Answer
Its G
