I think it is <span>A. by adding 2x to both sides of the equation and then simplify but this might be wrong >-<</span>
Answer:
d
Step-by-step explanation:
Larger samples more closely resemble the population from which they come.
Think of the difference between sampling hundreds of people from a town, perhaps asking them if they've ever ordered fast food. If you go to McDonald's and ask customers as they come out, you wouldn't expect those answers to represent the entire population of the town, right?
The square root of 83 is 9.11043357914, so I guess it goes on 9.1
Answer:
![e=0.66](https://tex.z-dn.net/?f=e%3D0.66)
Step-by-step explanation:
The eccentricity of an ellipse is given by: ![e=\sqrt{1-\frac{b^2}{a^2} }](https://tex.z-dn.net/?f=e%3D%5Csqrt%7B1-%5Cfrac%7Bb%5E2%7D%7Ba%5E2%7D%20%7D)
The given ellipse has equation: ![9x^2+16y^2-72x+64y-368=0](https://tex.z-dn.net/?f=9x%5E2%2B16y%5E2-72x%2B64y-368%3D0)
We can rewrite this equation in standard form to obtain:
![\frac{(x-4)^2}{8^2}+\frac{y+2}{6^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-4%29%5E2%7D%7B8%5E2%7D%2B%5Cfrac%7By%2B2%7D%7B6%5E2%7D%3D1)
We compare to the general standard form equation: ![\frac{(x-h)^2}{a^2}+\frac{y-k}{b^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-h%29%5E2%7D%7Ba%5E2%7D%2B%5Cfrac%7By-k%7D%7Bb%5E2%7D%3D1)
to get: ![a=8,b=6](https://tex.z-dn.net/?f=a%3D8%2Cb%3D6)
We substitute into the eccentricity formula to get:
![e=\sqrt{1-\frac{6^2}{8^2} }](https://tex.z-dn.net/?f=e%3D%5Csqrt%7B1-%5Cfrac%7B6%5E2%7D%7B8%5E2%7D%20%7D)
![e=\frac{\sqrt{7}}{4}=0.661438](https://tex.z-dn.net/?f=e%3D%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D%3D0.661438)
The eccentricity is 0.66 to the nearest hundredth