Considering the situation described, the confidence interval is given by:
(0.35, 0.51).
<h3>What is a confidence interval?</h3>
It is given by the <u>estimate plus/minus the margin of error</u>.
For this problem, we have that:
- The margin of error is half the range of the observations, hence M = (0.48 - 0.32)/2 = 0.08.
Then, the bounds of the interval are given by:
More can be learned about confidence intervals at brainly.com/question/25890103
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Answer:
![6^{\frac{1}{5} }=\sqrt[5]{6}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B6%7D)
![6^{\frac{7}{5} }=\sqrt[5]{6^7}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B7%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B6%5E7%7D)
![6^{\frac{1}{6} }=\sqrt[6]{6}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B1%7D%7B6%7D%20%7D%3D%5Csqrt%5B6%5D%7B6%7D)
![7^{\frac{1}{2} }=\sqrt[2]{7}](https://tex.z-dn.net/?f=7%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B7%7D)
![7^{\frac{5}{2} }=\sqrt[2]{7^5}](https://tex.z-dn.net/?f=7%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B7%5E5%7D)
![6^{\frac{9}{2} }=\sqrt[2]{6^9}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B9%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B6%5E9%7D)
Step-by-step explanation:
A radical is the root operation for n roots such as square root or cuberoot in the form
. A fraction exponent
can be converted to the radical form.
![6^{\frac{1}{5} }=\sqrt[5]{6}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B6%7D)
![6^{\frac{7}{5} }=\sqrt[5]{6^7}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B7%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B6%5E7%7D)
![6^{\frac{1}{6} }=\sqrt[6]{6}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B1%7D%7B6%7D%20%7D%3D%5Csqrt%5B6%5D%7B6%7D)
![7^{\frac{1}{2} }=\sqrt[2]{7}](https://tex.z-dn.net/?f=7%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B7%7D)
![7^{\frac{5}{2} }=\sqrt[2]{7^5}](https://tex.z-dn.net/?f=7%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B7%5E5%7D)
![6^{\frac{9}{2} }=\sqrt[2]{6^9}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B9%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B6%5E9%7D)
I think the answer is 4x - 15 = 6 + 1/2x
Let 4x = the girth (each side = x) Let y = the length
4x + y = 114 maximum y = 114 - 4x
volume = x^2 * y v = x^2 * (114 - 4x) v = 114x^2 - 4x^3 . . . . . . v is maximum (or minimum) when it's derivative = 0 v ' = 228x - 12x^2
228x - 12x^2 = 0 12x * (19 - x) = 0
x = 0 <=== this is obviously a minimum volume or x = 19 inches <=== for maximum volume
4x + y = 1144*19 + y = 114y = 38 <===
The largest volume is 19 x 19 x 38
C. If there is 23 people you would multiply x (the price) by 23. Since we know the price the expression is 17 x 23.