Answer:
68
Step-by-step explanation:
Let x=adult tickets and y=child tickets
1) 15x+11y=1889
2) x+y=147
multiply equation 1 by -1/11 on both sides to get:
-(15/11)x-y=-171.73
add new equation with equation 2 to get
-4/11x=-24.73
Isolate x to get:
x=67.99999
Round up to get 68 adult tickets
A math teacher opened a window company because he loves seeing shapes or geometrical polygons such as rectagles, squares or quadrilaterals in general as well as triangles in his works. Of course, the math teacher is already familiar with these shapes and how to calculate the angles in between.
Answer:
![M.A.D= 4.9](https://tex.z-dn.net/?f=M.A.D%3D%204.9)
Step-by-step explanation:
Given
12.7, 22, 23.5, 24, 11, 22
Required
Determine the M.A.D
Start by calculating the Mean
![Mean = \frac{\sum x}{n}](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
In this case, n = 6
So:
![Mean = \frac{12.7 + 22 + 23.5 + 24 + 11 + 22}{6}](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cfrac%7B12.7%20%2B%2022%20%2B%2023.5%20%2B%2024%20%2B%2011%20%2B%2022%7D%7B6%7D)
![Mean = \frac{115.2}{6}](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cfrac%7B115.2%7D%7B6%7D)
![Mean = 19.2](https://tex.z-dn.net/?f=Mean%20%3D%2019.2)
Subtract the mean from each element
![12.7 - 19.2 = -6.5](https://tex.z-dn.net/?f=12.7%20-%2019.2%20%3D%20-6.5)
![22 - 19.2 = 2.8](https://tex.z-dn.net/?f=22%20-%2019.2%20%3D%202.8)
![23.5 - 19.2 = 4.3](https://tex.z-dn.net/?f=23.5%20-%2019.2%20%3D%204.3)
![24 - 19.2 = 4.8](https://tex.z-dn.net/?f=24%20-%2019.2%20%3D%204.8)
![11 - 19.2 = -8.2](https://tex.z-dn.net/?f=11%20-%2019.2%20%3D%20-8.2)
![22 - 19.2 = 2.8](https://tex.z-dn.net/?f=22%20-%2019.2%20%3D%202.8)
Take absolute value of the results above
![|-6.5| = 6.5](https://tex.z-dn.net/?f=%7C-6.5%7C%20%3D%206.5)
![|2.8| = 2.8](https://tex.z-dn.net/?f=%7C2.8%7C%20%3D%202.8)
![|4.3| = 4.3](https://tex.z-dn.net/?f=%7C4.3%7C%20%3D%204.3)
![|4.8| = 4.8](https://tex.z-dn.net/?f=%7C4.8%7C%20%3D%204.8)
![|-8.2| = 8.2](https://tex.z-dn.net/?f=%7C-8.2%7C%20%3D%208.2)
![|2.8| = 2.8](https://tex.z-dn.net/?f=%7C2.8%7C%20%3D%202.8)
The mean of the above gives the MAD
![M.A.D= \frac{\sum |x - u|}{n}](https://tex.z-dn.net/?f=M.A.D%3D%20%5Cfrac%7B%5Csum%20%7Cx%20-%20u%7C%7D%7Bn%7D)
![M.A.D= \frac{6.5 + 2.8 + 4.3 + 4.8 + 8.2 + 2.8}{6}](https://tex.z-dn.net/?f=M.A.D%3D%20%5Cfrac%7B6.5%20%2B%202.8%20%2B%204.3%20%2B%204.8%20%2B%208.2%20%2B%202.8%7D%7B6%7D)
![M.A.D= \frac{29.4}{6}](https://tex.z-dn.net/?f=M.A.D%3D%20%5Cfrac%7B29.4%7D%7B6%7D)
![M.A.D= 4.9](https://tex.z-dn.net/?f=M.A.D%3D%204.9)
Angle E to angle T
Angle F to angle S
Angle G to angle U
EF is TS
FG is SU
TU is GE
Hope it helps :)