Answer:
6(d-5)
Step-by-step explanation:
i think this must be the equation
NO is 2 times LM
2(x+1) = 4x
2x + 2 = 4x
2 = 2x
1 = x
Plug that in for 4x
4(1)
4
Answer:
The estimate is ![P__{hat}} \pm E = 0.37 \pm 0.0348](https://tex.z-dn.net/?f=P__%7Bhat%7D%7D%20%5Cpm%20E%20%20%3D%200.37%20%5Cpm%200.0348)
Step-by-step explanation:
From the question we are told that
The sample size is n = 522
The sample proportion of students would like to talk about school is ![\r p__{hat}} = 0.37](https://tex.z-dn.net/?f=%5Cr%20p__%7Bhat%7D%7D%20%3D%20%200.37)
Given that the confidence level is 90 % then the level of significance can be mathematically evaluated as
![\alpha = 100 - 90](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%20100%20-%2090)
![\alpha = 10\%](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%2010%5C%25)
![\alpha = 0.10](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%200.10)
Next we obtain the critical value of
from the normal distribution table, the value is
![Z_{\frac{\alpha }{2} } =Z_{\frac{0.10}{2} } = 1.645](https://tex.z-dn.net/?f=Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%3DZ_%7B%5Cfrac%7B0.10%7D%7B2%7D%20%7D%20%3D%20%201.645)
Generally the margin of error can be mathematically represented as
![E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r P_{hat}(1- \r P_{hat} )}{n } }](https://tex.z-dn.net/?f=E%20%3D%20%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csqrt%7B%5Cfrac%7B%5Cr%20P_%7Bhat%7D%281-%20%5Cr%20P_%7Bhat%7D%20%29%7D%7Bn%20%7D%20%7D)
=> ![E = 1.645 * \sqrt{\frac{0.37 (1- 0.37 )}{522 } }](https://tex.z-dn.net/?f=E%20%3D%201.645%20%2A%20%20%5Csqrt%7B%5Cfrac%7B0.37%20%281-%200.37%20%20%29%7D%7B522%20%7D%20%7D)
=> ![E = 0.0348](https://tex.z-dn.net/?f=E%20%3D%200.0348)
Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is
![P__{hat}} \pm E](https://tex.z-dn.net/?f=P__%7Bhat%7D%7D%20%5Cpm%20%20E)
substituting values
![0.37 \pm 0.0348](https://tex.z-dn.net/?f=0.37%20%5Cpm%200.0348)
Answer: 278.18
sorry if it's wrong
Step-by-step explanation: if you divide 255 by 11 you get 23.18181818181
so if you simplify you get 23.18 so that is the tax plus the original payment which is 278.18