Answer:
The sample of sizes 2 and their mean are given below.
Step-by-step explanation:
The population consist of 5 values, S = {1, 3, 4, 4, 6}.
The number of samples of size 2 (without replacement) that can be formed from these 5 values is:

Th formula to compute the mean is:

List the 10 samples and their mean as follows:
<u>Sample</u> <u>Mean</u>
(1, 3) ![\bar x=\frac{1}{2}[1+3]=\frac{4}{2}=2.0](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7B2%7D%5B1%2B3%5D%3D%5Cfrac%7B4%7D%7B2%7D%3D2.0)
(1, 4) ![\bar x=\frac{1}{2}[1+4]=\frac{5}{2}=2.5](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7B2%7D%5B1%2B4%5D%3D%5Cfrac%7B5%7D%7B2%7D%3D2.5)
(1, 4) ![\bar x=\frac{1}{2}[1+4]=\frac{5}{2}=2.5](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7B2%7D%5B1%2B4%5D%3D%5Cfrac%7B5%7D%7B2%7D%3D2.5)
(1, 6) ![\bar x=\frac{1}{2}[1+6]=\frac{7}{2}=3.5](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7B2%7D%5B1%2B6%5D%3D%5Cfrac%7B7%7D%7B2%7D%3D3.5)
(3, 4) ![\bar x=\frac{1}{2}[3+4]=\frac{7}{2}=3.5](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7B2%7D%5B3%2B4%5D%3D%5Cfrac%7B7%7D%7B2%7D%3D3.5)
(3, 4) ![\bar x=\frac{1}{2}[3+4]=\frac{7}{2}=3.5](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7B2%7D%5B3%2B4%5D%3D%5Cfrac%7B7%7D%7B2%7D%3D3.5)
(3, 6) ![\bar x=\frac{1}{2}[3+6]=\frac{9}{2}=4.5](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7B2%7D%5B3%2B6%5D%3D%5Cfrac%7B9%7D%7B2%7D%3D4.5)
(4, 4) ![\bar x=\frac{1}{2}[4+4]=\frac{8}{2}=4.0](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7B2%7D%5B4%2B4%5D%3D%5Cfrac%7B8%7D%7B2%7D%3D4.0)
(4, 6) ![\bar x=\frac{1}{2}[4+6]=\frac{10}{2}=5.0](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7B2%7D%5B4%2B6%5D%3D%5Cfrac%7B10%7D%7B2%7D%3D5.0)
(4, 6) ![\bar x=\frac{1}{2}[4+6]=\frac{10}{2}=5.0](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7B2%7D%5B4%2B6%5D%3D%5Cfrac%7B10%7D%7B2%7D%3D5.0)
Hi there!
Tangent is a trigonometry ratio, and it is the value of the side opposite the angle over the side adjacent to the angle.
The side that is opposite angle B is side CA which is equal to 2.
The side that is adjacent to angle B is side CB which is equal to 1.
Therefore, the tangent ratio for angle B is 2/1.
(The adjacent side cannot be side BA because it is the hypotenuse.)
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
24 units
Step-by-step explanation:
1) Separate this quadrilateral into 2 triangles
2) Multiply the height by the width of one of the triangle
- Multiply 8×3
= 24
Answer:

Step-by-step explanation:
The volume V of the fountain is equal to:
V = L*W*h
Where L is the lenght of the fountain, W is the width of the fountain and h is the high of the fountain
We already know that h is equal to x. On the other hand, if we cut a square with side of length x, L and W are calculated as:
L = 18 - 2x
W = 12 - 2x
So, replacing L, W and h on the equation of the volume, we get:
V = (18-2x)*(12-2x)*x
Finally, simplifying the function we get:

