10
Step-by-step explanation:
3y-8=22
3y=22+8
3y=30
y=30/3
y =10
Answer:
The perimeter is 16 yards.
_
Step-by-step explanation:
♤You can solve using the <u>pythagorean theorem</u>.
♡We will be using the variable 'x' to represent the variable 'b' in the picture provided.
◇In the pythagorean theorem, a and b represents bases while the c represents the hypotenuse (diagonal).
![{a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {12}^{2} = {20}^{2} \\ {x}^{2} + 144 = 400 \\ \frac{ \: \: \: \: \: - 144 = - 144}{ {x}^{2} = \sqrt{256} } \\ x = 16](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7B12%7D%5E%7B2%7D%20%20%3D%20%20%7B20%7D%5E%7B2%7D%20%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%20144%20%3D%20400%20%5C%5C%20%20%5Cfrac%7B%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20-%20144%20%3D%20%20-%20144%7D%7B%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%5Csqrt%7B256%7D%20%7D%20%20%5C%5C%20x%20%3D%2016)
Answer:
Mean
Step-by-step explanation:
Given
![Data: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4](https://tex.z-dn.net/?f=Data%3A%204%2C%204%2C%202%2C%204%2C%204%2C%201%2C%203%2C%204%2C%202%2C%204)
Required
Best measure of center
The mean is considered the best measure of center when there are no outliers in the given data.
Outlier is when a particular data set is far away from other datasets.
For instance: 20 is an outlier in the following data sets: ![4, 4, 2, 20, 4, 4, 1, 3, 4, 2, 4](https://tex.z-dn.net/?f=4%2C%204%2C%202%2C%2020%2C%204%2C%204%2C%201%2C%203%2C%204%2C%202%2C%204)
Also, the given data are not open-ended.
An open-ended data is as follows: ![1, 2, 3, 4, 5\ or\ more](https://tex.z-dn.net/?f=1%2C%202%2C%203%2C%204%2C%205%5C%20or%5C%20more)
Since we do not have any of the above conditions, then the mean is the best center to use.
Answer:
Associative propertry of addition.
Step-by-step explanation:
The associative property of addition states that:
![a+(b+c) = (a+b)+c](https://tex.z-dn.net/?f=a%2B%28b%2Bc%29%20%3D%20%28a%2Bb%29%2Bc)
It states that we can add numbers regardless of the groups. The sum does not change irrespective of how the addends are grouped.
We are given the expression:
![r + (h + t)](https://tex.z-dn.net/?f=r%20%2B%20%28h%20%2B%20t%29)
It can be written as:
![(r+h) + t](https://tex.z-dn.net/?f=%28r%2Bh%29%20%2B%20t)
It can also be written as:
![r + (h+t) = (r+t) + h = (h+t)+r = h + (t+r)](https://tex.z-dn.net/?f=r%20%2B%20%28h%2Bt%29%20%3D%20%28r%2Bt%29%20%2B%20h%20%3D%20%28h%2Bt%29%2Br%20%3D%20h%20%2B%20%28t%2Br%29)
Whatever maybe the arrangement of r, h and t, their sum will always be equal. We can regroup them in many ways but the sum remains the same.