Answer:
2x^2 +4x -4
Step-by-step explanation:
(2x^2 - 2x) + (6x - 4)
Combine like terms
2x^2 +6x-2x -4
2x^2 +4x -4
Answer:
The sample size must be approximately 1067 to get a margin of error of 0.03.
Step-by-step explanation:
We are given the following in the question:
Margin of error = 0.03
Significance level = 5%
Margin of error =
![z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=z_%7Bstat%7D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
Since, no prior proportions are given, we take
![\hat{p} = 0.5](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%20%3D%200.5)
![z_{critical}\text{ at}~\alpha_{0.05} = 1.96](https://tex.z-dn.net/?f=z_%7Bcritical%7D%5Ctext%7B%20at%7D~%5Calpha_%7B0.05%7D%20%3D%201.96)
Putting values, we get,
![0.03 = 1.96\sqrt{\dfrac{0.5(1-0.5)}{n}}\\\\\sqrt{n} = \dfrac{1.96\times 0.5}{0.03}\\\\\\sqrt{n} = 32.67\\n = 1067.3289\approx 1067](https://tex.z-dn.net/?f=0.03%20%3D%201.96%5Csqrt%7B%5Cdfrac%7B0.5%281-0.5%29%7D%7Bn%7D%7D%5C%5C%5C%5C%5Csqrt%7Bn%7D%20%3D%20%5Cdfrac%7B1.96%5Ctimes%200.5%7D%7B0.03%7D%5C%5C%5C%5C%5C%5Csqrt%7Bn%7D%20%3D%2032.67%5C%5Cn%20%3D%201067.3289%5Capprox%201067)
Thus, the sample size must be approximately 1067 to get a margin of error of 0.03.
Use this to help you. this is a chart. it is not the answer but this helps
Answer: Area for trapezoid= 1/2(4+5×1)=4.5 m
Area of triangle= Iam not exactly sure
hope this helped you a bit
Step-by-step explanation: