We will need to have two equations here, having x as the missing length. We know that the chairs are in the same amount on each occasion, so each equation should be equal to the other.
This sets up a problem of:
6x + 7 = 4x + 13
7 and 13 being the leftover chairs and 6 and 4 being the rows. Let’s solve for x.
x = 3
Knowing this, we plug in x for one of the equations
6(3) + 7
18 + 7
25
Liam has 25 chairs.
-x + 1/2 = x + 4 1/2
+x +x
1/2 = 2x + 4 1/2
-4 1/2 - 4 1/2
-4 = 2x
x = -2
Answer:
Option B.
Step-by-step explanation:
The given data set is
34, 35, 41, 28, 26, 29, 32, 36, 38, 40
We need to find the mean deviation of the given data.
Number of observations, n = 10
Mean of the data is
![Mean=\dfrac{\sum x}{n}](https://tex.z-dn.net/?f=Mean%3D%5Cdfrac%7B%5Csum%20x%7D%7Bn%7D)
![Mean=\dfrac{34+35+41+28+26+29+32+36+38+40}{10}](https://tex.z-dn.net/?f=Mean%3D%5Cdfrac%7B34%2B35%2B41%2B28%2B26%2B29%2B32%2B36%2B38%2B40%7D%7B10%7D)
![Mean=\dfrac{339}{10}](https://tex.z-dn.net/?f=Mean%3D%5Cdfrac%7B339%7D%7B10%7D)
![Mean=33.9](https://tex.z-dn.net/?f=Mean%3D33.9)
Formula for mean deviation is
![\text{Mean deviation}=\dfrac{\sum |x-mean|}{n}](https://tex.z-dn.net/?f=%5Ctext%7BMean%20deviation%7D%3D%5Cdfrac%7B%5Csum%20%7Cx-mean%7C%7D%7Bn%7D)
![\sum |x-mean|=|34-33.9|+|35-33.9|+|41-33.9|+|28-33.9|+|26-33.9|+|29-33.9|+ |32-33.9|+|36-33.9|+|38-33.9|+|40-33.9|=41.2](https://tex.z-dn.net/?f=%5Csum%20%7Cx-mean%7C%3D%7C34-33.9%7C%2B%7C35-33.9%7C%2B%7C41-33.9%7C%2B%7C28-33.9%7C%2B%7C26-33.9%7C%2B%7C29-33.9%7C%2B%20%7C32-33.9%7C%2B%7C36-33.9%7C%2B%7C38-33.9%7C%2B%7C40-33.9%7C%3D41.2)
![\text{Mean deviation}=\dfrac{41.2}{10}](https://tex.z-dn.net/?f=%5Ctext%7BMean%20deviation%7D%3D%5Cdfrac%7B41.2%7D%7B10%7D)
![\text{Mean deviation}=4.12](https://tex.z-dn.net/?f=%5Ctext%7BMean%20deviation%7D%3D4.12)
The mean deviation of the ratings is 4.12.
Therefore, the correct option is B.
Answer:
The third one
Step-by-step explanation:
Its asking if its positive in the interval [-3, -2]
Which means you only look at the graph from -3, -2 on the x axis and we are looking see which one is positive in that space. And by positive it means going up in a positive direction. Only the third one does this.
Answer:
6x -7 is your answer
Step-by-step explanation: