F is an odd function if and only if <span>I. f (−x) = −f(x)
</span><span>C. I only.</span>
Answer:
D. 2.7
Step-by-step explanation:
Given
![Mean = 8.0](https://tex.z-dn.net/?f=Mean%20%3D%208.0)
![n = 20](https://tex.z-dn.net/?f=n%20%3D%2020)
![Range = 2.5\ to\ 12.0](https://tex.z-dn.net/?f=Range%20%3D%202.5%5C%20to%5C%2012.0)
Required
Estimate the standard deviation
Since, the given data has incomplete parameters, we can apply the range rule to estimate the standard deviation;
This is done as follows;
![S.D = \frac{1}{4}(Max - Min)](https://tex.z-dn.net/?f=S.D%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28Max%20-%20Min%29)
In this case:
![Max = 12.0](https://tex.z-dn.net/?f=Max%20%3D%2012.0)
![Min = 2.5](https://tex.z-dn.net/?f=Min%20%3D%202.5)
So:
![S.D = \frac{1}{4}(Max - Min)](https://tex.z-dn.net/?f=S.D%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28Max%20-%20Min%29)
![S.D = \frac{1}{4}(12.0 - 2.5)](https://tex.z-dn.net/?f=S.D%20%3D%20%5Cfrac%7B1%7D%7B4%7D%2812.0%20-%202.5%29)
![S.D = \frac{1}{4}(9.5)](https://tex.z-dn.net/?f=S.D%20%3D%20%5Cfrac%7B1%7D%7B4%7D%289.5%29)
![S.D = 2.375](https://tex.z-dn.net/?f=S.D%20%3D%202.375)
<em>From the list of given option, the closest to 2.375 is 2.7;</em>
<em>Hence, the best estimate is 2.7</em>
Answer:
x = 1.8
Step-by-step explanation:
10.4 - 5 = 5.4 (subtract 5 from each side)
to isolate the variable, x, divide each side by 3
5.4/3 = 1.8
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