In 18 hours = 92700
In 1 hour it would be: 92700/18 = 5150 riders
If a and b represent the height and base of the triangular face, and h represents the length of its hypotenuse, and w represents the width or thickness of the prism, the surface area (A) is
.. A = ab +w*(a +b+ h)
Of course the area of each triangle is (1/2)ab, but there are two of them, so their total area is ab.
Put in the numbers and do the arithmetic. If you have a lot of them all specified in this way, a spreadsheet can make short work of it.
A = 5*12 +4*(5 +12 +13) = 160 . . . square inches
Answer:
The mean absolute deviation of the data set is 6
Step-by-step explanation:
To find the mean absolute deviation of the data, start by finding the mean of the data set.
- Find the sum of the data values, and divide the sum by the number of data values.
- Find the absolute value of the difference between each data value and the mean: |data value – mean|.
- Find the sum of the absolute values of the differences.
- Divide the sum of the absolute values of the differences by the number of data values
∵ The data are 68 , 59 , 65 , 77 , 56
- Find their sum
∴ The sum of the data = 68 + 59 + 65 + 77 + 56 = 325
∵ The number of data in the set is 5
- Find the mean by dividing the sum of the data by 5
∴ The mean = 325 ÷ 5 = 65
- Find the absolute difference between the each data and the mean
∵ I68 - 65I = 3
∵ I59 - 65I = 6
∵ I65 - 65I = 0
∵ I77 - 65I = 12
∵ I56 - 65I = 9
- Find the sum of the absolute differences
∵ The sum of the absolute differences = 3 + 6 + 0 + 12 + 9
∴ The sum of the absolute differences = 30
Divide the sum of the absolute differences by 5 to find the mean absolute deviation
∴ The mean absolute deviation = 30 ÷ 5 = 6
The mean absolute deviation of the data set is 6
Answer:
![(f\circ g)(x)=6x+14](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3D6x%2B14)
Step-by-step explanation:
We are given the two functions:
![f(x)=3x-4\text{ and } g(x)=2x+6](https://tex.z-dn.net/?f=f%28x%29%3D3x-4%5Ctext%7B%20and%20%7D%20g%28x%29%3D2x%2B6)
And we want to find:
![(f\circ g)(x)](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29)
This is equivalent to:
![=f(g(x))](https://tex.z-dn.net/?f=%3Df%28g%28x%29%29)
Then by substitution:
![=f(2x+6)=3(2x+6)-4](https://tex.z-dn.net/?f=%3Df%282x%2B6%29%3D3%282x%2B6%29-4)
Evaluate:
![=f(g(x))=6x+18-4=6x+14](https://tex.z-dn.net/?f=%3Df%28g%28x%29%29%3D6x%2B18-4%3D6x%2B14)
Therefore:
![(f\circ g)(x)=6x+14](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3D6x%2B14)