Answer:
Mean = 18 and Mode = 10
Step-by-step explanation:
The given data is :
10,10, 18, 24,28
We can find the mean of the data,
![Mean=\dfrac{\text{sum of observations}}{\text{total no of observations}}](https://tex.z-dn.net/?f=Mean%3D%5Cdfrac%7B%5Ctext%7Bsum%20of%20observations%7D%7D%7B%5Ctext%7Btotal%20no%20of%20observations%7D%7D)
![M=\dfrac{10+10+18+24+28}{5}\\\\=18](https://tex.z-dn.net/?f=M%3D%5Cdfrac%7B10%2B10%2B18%2B24%2B28%7D%7B5%7D%5C%5C%5C%5C%3D18)
Mode is the repetition of data.
Here, 10 repeats 2 times.
So, the mode is 10.
Answer:
2/5.......................
Answer : 23.77
Pythagoras theorem states that in any right angled triangle , the sum of squares of base and perpendicular is equal to the square of hypotenuse .
- Here in the given figure , hypotenuse is 30.5 and perpendicular is 19.1 .
![\sf\longrightarrow (base)^2+(perpendicular)^2=hypotenuse^2\\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20%28base%29%5E2%2B%28perpendicular%29%5E2%3Dhypotenuse%5E2%5C%5C)
- Substituting the respective values,
![\sf\longrightarrow x^2 +(19.1)^2 = (30.5)^2 \\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20x%5E2%20%2B%2819.1%29%5E2%20%3D%20%2830.5%29%5E2%20%5C%5C)
![\sf\longrightarrow x^2 + 364.81 = 930.25 \\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20x%5E2%20%2B%20364.81%20%3D%20930.25%20%5C%5C)
![\sf\longrightarrow x^2 = 930.25 -364.81\\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20x%5E2%20%3D%20930.25%20-364.81%5C%5C)
![\sf\longrightarrow x^2 = 565.44\\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20x%5E2%20%3D%20565.44%5C%5C)
![\sf\longrightarrow x=\sqrt{565.44} \\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20x%3D%5Csqrt%7B565.44%7D%20%5C%5C)
![\sf\longrightarrow \underline{\boxed{\bf base (x) = 23.77 }} \\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20%5Cunderline%7B%5Cboxed%7B%5Cbf%20base%20%28x%29%20%3D%2023.77%20%7D%7D%20%5C%5C)
Let me know if you have any queries in the comment section !
Percentage is represented by division into 100.
7/100 = .07
$477,000 x .07 = $33,390 increase
$477,000 x 1.07 = $510,390 current value.
I think it's b :))))))))))))