Answer:
Rate of change for the second one (at the top) is 10
x- intercept is (-10,0)
y- intercept is (0,20)
Step-by-step explanation:
Answer: (0.076, 0.140)
Step-by-step explanation:
Confidence interval for population proportion (p) is given by :-
![\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
, where
= sample proportion.
n= sample size.
= significance level .
= critical z-value (Two tailed)
As per given , we have
sample size : n= 500
The number of Independents.: x= 54
Sample proportion of Independents![\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7Bx%7D%7Bn%7D%3D%5Cdfrac%7B54%7D%7B500%7D%3D0.108)
Significance level 98% confidence level :
By using z-table , Critical value :
The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-
![0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)](https://tex.z-dn.net/?f=0.108%5Cpm%20%282.33%29%5Csqrt%7B%5Cdfrac%7B0.108%281-0.108%29%7D%7B500%7D%7D%5C%5C%5C%5C%3D0.108%5Cpm2.33%5Ctimes0.013880634%5C%5C%5C%5C%3D0.108%5Cpm0.03234187722%5C%5C%5C%5C%5Capprox0.108%5Cpm0.032%3D%280.108-0.032%2C%5C%200.108%2B0.032%29%3D%280.076%2C%5C%200.140%29)
Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)
By their increase or decrease
Answer:
The elevation of Lucas Oil Field is of 715 feet.
Step-by-step explanation:
Elevation of Sports Authority Field:
Of 5280 ft.
Compared to Lucas Oil Field:
275ft than seven times the Lucas Oil Field elevation of x.
Equation:
![275 + 7x = 5280](https://tex.z-dn.net/?f=275%20%2B%207x%20%3D%205280)
What is the elevation of Lucas Oil Field?
Solving the above equation:
![7x = 5280 - 275](https://tex.z-dn.net/?f=7x%20%3D%205280%20-%20275)
![7x = 5005](https://tex.z-dn.net/?f=7x%20%3D%205005)
![x = \frac{5005}{7}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5005%7D%7B7%7D)
![x = 715](https://tex.z-dn.net/?f=x%20%3D%20715)
The elevation of Lucas Oil Field is of 715 feet.