The answer would be 230 2/3, because to get the perimeter you have to add all the sides together, 60 5/6 + 59 1/3 + 56 1/6 + 54 1/3 = 230 2/3
Answer:x = 3
Step-by-step explanation:
X =9/3
X=3
Answer:
![\bar X = 100.4](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%20100.4)
And we can calculate the deviations from each value like this:
![|101.5-100.4 |=1.1](https://tex.z-dn.net/?f=%20%7C101.5-100.4%20%7C%3D1.1)
![|98.7-100.4 |=1.7](https://tex.z-dn.net/?f=%20%7C98.7-100.4%20%7C%3D1.7)
![|95.4-100.4 |=5.0](https://tex.z-dn.net/?f=%20%7C95.4-100.4%20%7C%3D5.0)
![|92.3-100.4 |=8.1](https://tex.z-dn.net/?f=%20%7C92.3-100.4%20%7C%3D8.1)
![|109.8-100.4 |=9.4](https://tex.z-dn.net/?f=%20%7C109.8-100.4%20%7C%3D9.4)
![|104.7-100.4|=4.3](https://tex.z-dn.net/?f=%20%7C104.7-100.4%7C%3D4.3)
And the mean absolute deviation would be:
![MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93](https://tex.z-dn.net/?f=%20MAD%20%3D%5Cfrac%7B1.1%2B1.7%2B5.0%2B8.1%2B9.4%2B4.3%7D%7B6%7D%3D%204.93)
Step-by-step explanation:
For this case we have the following dataset given:
101.5 98.7 95.4 92.3 109.8 104.7
We can calculate the mean with the following formula:
![\bar X =\frac{\sum_{i=1}^n X_i}{n}](https://tex.z-dn.net/?f=%20%5Cbar%20X%20%3D%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20X_i%7D%7Bn%7D)
And replacing we got:
![\bar X = 100.4](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%20100.4)
And we can calculate the deviations from each value like this:
![|101.5-100.4 |=1.1](https://tex.z-dn.net/?f=%20%7C101.5-100.4%20%7C%3D1.1)
![|98.7-100.4 |=1.7](https://tex.z-dn.net/?f=%20%7C98.7-100.4%20%7C%3D1.7)
![|95.4-100.4 |=5.0](https://tex.z-dn.net/?f=%20%7C95.4-100.4%20%7C%3D5.0)
![|92.3-100.4 |=8.1](https://tex.z-dn.net/?f=%20%7C92.3-100.4%20%7C%3D8.1)
![|109.8-100.4 |=9.4](https://tex.z-dn.net/?f=%20%7C109.8-100.4%20%7C%3D9.4)
![|104.7-100.4|=4.3](https://tex.z-dn.net/?f=%20%7C104.7-100.4%7C%3D4.3)
And the mean absolute deviation would be:
![MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93](https://tex.z-dn.net/?f=%20MAD%20%3D%5Cfrac%7B1.1%2B1.7%2B5.0%2B8.1%2B9.4%2B4.3%7D%7B6%7D%3D%204.93)
Answer:
k=4
Step-by-step explanation:
First, we can subtract 3k on both sides. It is ultimately easier to start by subtracting the term with a variable. This would result in 45=5k+25. Then, we can subtract 25 on both sides to get closer to isolating k. This becomes 20=5k. We can then divide by 5 on both sides. This means that k=4.