Answer:
C = (13.75 * B * H)/3750
Step-by-step explanation:
The area of a triangle is represented by the equation A = 1/2 * B * H
Every time another 3750 square feet is covered, $27.50 is spent. So, we can represent the cost using the equation C = A/3750 * 27.50
Plugging in the base and height, C = (1/2 * B * H * 27.50)/3750
C = (13.75 * B * H)/3750
Answer:
The sample size n= 2500
A survey with 2500 left-handed people guarantees the given margin error is 2%
Step-by-step explanation:
<u>Explanation:-</u>
The margin of error = ![\frac{2 S.D}{\sqrt{n} }](https://tex.z-dn.net/?f=%5Cfrac%7B2%20S.D%7D%7B%5Csqrt%7Bn%7D%20%7D)
here for proportions , the standard deviation (σ) = ![\sqrt{p(1-p)} \leq \frac{1}{2}](https://tex.z-dn.net/?f=%5Csqrt%7Bp%281-p%29%7D%20%5Cleq%20%5Cfrac%7B1%7D%7B2%7D)
![Margin of error = \frac{2 S.D}{\sqrt{n} } \leq \frac{2(\frac{1}{2}) }{\sqrt{n} }](https://tex.z-dn.net/?f=Margin%20of%20error%20%3D%20%5Cfrac%7B2%20S.D%7D%7B%5Csqrt%7Bn%7D%20%7D%20%5Cleq%20%5Cfrac%7B2%28%5Cfrac%7B1%7D%7B2%7D%29%20%7D%7B%5Csqrt%7Bn%7D%20%7D)
![Margin of error = \frac{1}{\sqrt{n} }](https://tex.z-dn.net/?f=Margin%20of%20error%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7Bn%7D%20%7D)
now The necessary sample size is
![n= \frac{1}{(M.E)^{2} }](https://tex.z-dn.net/?f=n%3D%20%5Cfrac%7B1%7D%7B%28M.E%29%5E%7B2%7D%20%7D)
Given data the survey in order to get a margin of error of 2%
M.E = 0.02
![n= \frac{1}{(0.02)^{2} } = 2500](https://tex.z-dn.net/?f=n%3D%20%5Cfrac%7B1%7D%7B%280.02%29%5E%7B2%7D%20%7D%20%3D%202500)
<u>Conclusion</u>:-
The sample size n= 2500
A survey with 2500 left-handed people guarantees the given margin error is 2%
Answer:
25 km
Step-by-step explanation:
100/20=5
5*5=25
Answer:
1/2 =x
Step-by-step explanation:
9/x + 2 = 20
Subtract 2 from each side
9/x + 2-2 = 20-2
9/x =18
Multiply each side by x
9/x *x = 18*x
9 = 18x
Divide each side by 18
9/18 = 18x/18
1/2 =x