Answer:
The correct statement is:
On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
Step-by-step explanation:
We are given a data of 11 gardens as:
2 9 1 23 3 7 10 2 10 9 7
Now on removing the outlier i.e. 23 (since it is the very large value as compared to other data points) the entries are as follows:
x |x-x'|
2 4
9 3
1 5
3 3
7 1
10 4
2 4
10 4
9 3
7 1
Now mean of the data is denoted by x' and is calculated as:
Hence, Mean(x')=6
Now,
∑ |x-x'|=32
Now mean of the absolute deviation is:
![\dfrac{32}{10}=3.2](https://tex.z-dn.net/?f=%5Cdfrac%7B32%7D%7B10%7D%3D3.2)
This means that , On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
Answer:
If width = 60 m, length = 195 m.
If width = 150 m, length = 465 m.
Step-by-step explanation:
The area of a rectangle is l * w or length times width.
So we can set an equation (letting w = width and x = length)
w = ![1/3x - 5](https://tex.z-dn.net/?f=1%2F3x%20-%205)
Part 1: width = 60m:
60 = ![1/3x - 5](https://tex.z-dn.net/?f=1%2F3x%20-%205)
65 = ![1/3x](https://tex.z-dn.net/?f=1%2F3x)
x = 195 m
Part 2: width = 150 m:
150 = ![1/3x - 5](https://tex.z-dn.net/?f=1%2F3x%20-%205)
155 = ![1/3x](https://tex.z-dn.net/?f=1%2F3x)
x = 465 m
Answer:
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hope this works :}
Step-by-step explanation:
Answer:
3 is the solution one solution
2 is the solution one solution
3 is the solution one solution
Step-by-step explanation:
The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.
Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.
Therefore ∠1 is just one-half of the ∠SUT.
![\begin{gathered} m\angle1=\frac{\angle SUT}{2} \\ m\angle1=\frac{34}{2} \\ m\angle1=17 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%5Cangle1%3D%5Cfrac%7B%5Cangle%20SUT%7D%7B2%7D%20%5C%5C%20m%5Cangle1%3D%5Cfrac%7B34%7D%7B2%7D%20%5C%5C%20m%5Cangle1%3D17%20%5Cend%7Bgathered%7D)
Therefore the measurement of ∠1 is 17°.