If a=c and b=c then a=c this is transitive property
Area of rectangle = Length*width
A = 28 so 28 = 4 * height
height = 28/4 = 7
Answer:
The maximum variance is 250.
Step-by-step explanation:
Consider the provided function.
![V(x)=1000x(1-x)](https://tex.z-dn.net/?f=V%28x%29%3D1000x%281-x%29)
![V(x)=1000x-1000x^2](https://tex.z-dn.net/?f=V%28x%29%3D1000x-1000x%5E2)
Differentiate the above function as shown:
![V'(x)=1000-2000x](https://tex.z-dn.net/?f=V%27%28x%29%3D1000-2000x)
The double derivative of the provided function is:
![V''(x)=-2000](https://tex.z-dn.net/?f=V%27%27%28x%29%3D-2000)
To find maximum variance set first derivative equal to 0.
![1000-2000x=0](https://tex.z-dn.net/?f=1000-2000x%3D0)
![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
The double derivative of the function at
is less than 0.
Therefore,
is a point of maximum.
Thus the maximum variance is:
![V(x)=1000(\frac{1}{2})-1000{\frac{1}{2}}^2](https://tex.z-dn.net/?f=V%28x%29%3D1000%28%5Cfrac%7B1%7D%7B2%7D%29-1000%7B%5Cfrac%7B1%7D%7B2%7D%7D%5E2)
![V(x)=250](https://tex.z-dn.net/?f=V%28x%29%3D250)
Hence, the maximum variance is 250.
Answer:
x=13
Step-by-step explanation:
Answer:
Interquartile range
Step-by-step explanation:
Range = 32, 29
Median = -6, 3
Upper quatile = 2, 13
Interquartile range = 11, 23
==> Interquartile range has the greatest difference of 23-11 = 12