Ok, -24+36w=48 (You have to add 24 to both sides because it's a negative!)
+24 +24
----------------------------------- (Then you add!)
36w=72
------------------------------(Then you divide by 36!)
36 36
w=2! Hope it helps! :)
I think first we calculate the values of x and y and then we draw the graph. Hope this helps you
Answer:
The 95% confidence interval
Step-by-step explanation:
From the question we are told that
The sample mean is ![\= x = 180.975](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%20180.975)
The standard deviation is ![\sigma = 143.042](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20143.042)
The sample size is n = 8
Given that the confidence level is 95% then the level of significance is
![\alpha =( 100- 95) \%](https://tex.z-dn.net/?f=%5Calpha%20%3D%28%20100-%2095%29%20%5C%25)
=>
Generally from the normal distribution table the critical value of
is
Generally the margin of error is mathematically represented as
![E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }](https://tex.z-dn.net/?f=E%20%3D%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%20%7D)
=> ![E = 1.96 * \frac{ 143.042 }{\sqrt{8} }](https://tex.z-dn.net/?f=E%20%3D%201.96%20%2A%20%20%5Cfrac%7B%20143.042%20%7D%7B%5Csqrt%7B8%7D%20%7D)
=> ![E = 99.123](https://tex.z-dn.net/?f=E%20%3D%2099.123%20)
Generally 95% confidence interval is mathematically represented as
=>
=>