Answer:
180 ft.
Step-by-step explanation:
![\frac{90}{135} = \frac{120}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B90%7D%7B135%7D%20%20%3D%20%20%5Cfrac%7B120%7D%7Bx%7D%20)
![90x = 16200](https://tex.z-dn.net/?f=90x%20%3D%2016200)
Answer:
I hope it will help you :)
Question 4: a ray is formed by an endpoint and a line starting at the endpoint and going on forever in one direction
We cannot see angle MBW to be able to classify it
Answer:
The 80% confidence interval for difference between two means is (0.85, 1.55).
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for difference between two means is:
![CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2,(n_{1}+n_{2}-2)}\times SE_{\bar x_{1}-\bar x_{2}}](https://tex.z-dn.net/?f=CI%3D%28%5Cbar%20x_%7B1%7D-%5Cbar%20x_%7B2%7D%29%5Cpm%20t_%7B%5Calpha%2F2%2C%28n_%7B1%7D%2Bn_%7B2%7D-2%29%7D%5Ctimes%20SE_%7B%5Cbar%20x_%7B1%7D-%5Cbar%20x_%7B2%7D%7D)
Given:
![\bar x_{1}=M_{1}=6.1\\\bar x_{2}=M_{2}=4.9\\SE_{\bar x_{1}-\bar x_{2}}=0.25](https://tex.z-dn.net/?f=%5Cbar%20x_%7B1%7D%3DM_%7B1%7D%3D6.1%5C%5C%5Cbar%20x_%7B2%7D%3DM_%7B2%7D%3D4.9%5C%5CSE_%7B%5Cbar%20x_%7B1%7D-%5Cbar%20x_%7B2%7D%7D%3D0.25)
Confidence level = 80%
![t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.20/2, (5+5-2)}=t_{0.10,8}=1.397](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%2C%20%28n_%7B1%7D%2Bn_%7B2%7D-2%29%7D%3Dt_%7B0.20%2F2%2C%20%285%2B5-2%29%7D%3Dt_%7B0.10%2C8%7D%3D1.397)
*Use a <em>t</em>-table for the critical value.
Compute the 80% confidence interval for difference between two means as follows:
![CI=(6.1-4.9)\pm 1.397\times 0.25\\=1.2\pm 0.34925\\=(0.85075, 1.54925)\\\approx(0.85, 1.55)](https://tex.z-dn.net/?f=CI%3D%286.1-4.9%29%5Cpm%201.397%5Ctimes%200.25%5C%5C%3D1.2%5Cpm%200.34925%5C%5C%3D%280.85075%2C%201.54925%29%5C%5C%5Capprox%280.85%2C%201.55%29)
Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).