No, a line of symmetry should cut the shape or object in half and represent a perfect mirror image.
Rafael walks 22.5 km in 9 days.
Answer:
The weight that separate the top 8% by 5.2605 and the weight that separate bottom 8% by 5.1195.
Step-by-step explanation:
We are given that
Mean,![\mu=5.19](https://tex.z-dn.net/?f=%5Cmu%3D5.19)
Standard deviation,![\sigma=0.05](https://tex.z-dn.net/?f=%5Csigma%3D0.05)
We have to find the two weights that separate the top 8% and the bottom 8%.
Let x1 and x2 the two weights that separate the top 8% and the bottom 8%.
Z-value for p-value =0.08 =![-1.41](https://tex.z-dn.net/?f=-1.41)
For 8% bottom
![Z=\frac{x_1-\mu}{\sigma}=-1.41](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx_1-%5Cmu%7D%7B%5Csigma%7D%3D-1.41)
![\frac{x_1-5.19}{0.05}=-1.41](https://tex.z-dn.net/?f=%5Cfrac%7Bx_1-5.19%7D%7B0.05%7D%3D-1.41)
![x_1-5.19=-1.41\times 0.05](https://tex.z-dn.net/?f=x_1-5.19%3D-1.41%5Ctimes%200.05)
![x_1=-1.41\times 0.05+5.19](https://tex.z-dn.net/?f=x_1%3D-1.41%5Ctimes%200.05%2B5.19)
![x_1=5.1195](https://tex.z-dn.net/?f=x_1%3D5.1195)
For 8% top
p-Value=1-0.08=0.92
Z- value=1.41
Now,
![\frac{x_2-5.19}{0.05}=1.41](https://tex.z-dn.net/?f=%5Cfrac%7Bx_2-5.19%7D%7B0.05%7D%3D1.41)
![x_2-5.19=1.41\times 0.05](https://tex.z-dn.net/?f=x_2-5.19%3D1.41%5Ctimes%200.05)
![x_2=1.41\times 0.05+5.19](https://tex.z-dn.net/?f=x_2%3D1.41%5Ctimes%200.05%2B5.19)
![x_2=5.2605](https://tex.z-dn.net/?f=x_2%3D5.2605)
(x1,x2)=(5.1195,5.2605)