Answer:
- Area of the circle is 113.04 ft²
Step-by-step explanation:
Given:
- Diameter of circle = 12 feet
To Find:
Using formula:
![\\ \: \: \dashrightarrow \: \: \:{\underline{\boxed{ \bf{Area_{( circle)} = \pi r^2}}}} \\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%5C%3A%20%20%5C%3A%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%5C%3A%7B%5Cunderline%7B%5Cboxed%7B%20%20%5Cbf%7BArea_%7B%28%20circle%29%7D%20%3D%20%5Cpi%20r%5E2%7D%7D%7D%7D%20%5C%5C%20%5C%5C)
<em>Where,</em>
- π = 3.14
- Diameter = 12 feet
- Radius = 12/2 = 6 feet
On substituting the required values, we get:
![\\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times {(6)}^{2} \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times 36 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 113.04 \: {ft}^{2} \\ \\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%20%5C%3A%20%20%5C%3A%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5Csf%20Area_%7B%28Circle%29%7D%20%3D%20%20%20%203.14%20%5Ctimes%20%20%7B%286%29%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5C%3A%20%20%5C%3A%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5Csf%20Area_%7B%28Circle%29%7D%20%3D%20%20%203.14%20%5Ctimes%2036%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5C%3A%20%20%5C%3A%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5Csf%20Area_%7B%28Circle%29%7D%20%3D%20%20113.04%20%5C%3A%20%20%7Bft%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20)
Hence,
- Area of the circle is<u> </u>113.04 ft²
Answer: 2.50
Step-by-step explanation
we need to divide dollars / kilogram
Answer:
The 99% confidence interval for the population mean is 22.96 to 26.64
Step-by-step explanation:
Consider the provided information,
A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,
The confidence interval if 99%.
Thus, 1-α=0.99
α=0.01
Now we need to determine ![z_{\frac{\alpha}{2}}=z_{0.005}](https://tex.z-dn.net/?f=z_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%3Dz_%7B0.005%7D)
Now by using z score table we find that ![z_{\frac{\alpha}{2}}=2.58](https://tex.z-dn.net/?f=z_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%3D2.58)
The boundaries of the confidence interval are:
![\mu-z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80-2.58\times \frac{5}{\sqrt{49}}=22.96\\\mu+z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80+2.58\times \frac{5}{\sqrt{49}}=26.64](https://tex.z-dn.net/?f=%5Cmu-z_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%5Ctimes%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%5C%5C24.80-2.58%5Ctimes%20%5Cfrac%7B5%7D%7B%5Csqrt%7B49%7D%7D%3D22.96%5C%5C%5Cmu%2Bz_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%5Ctimes%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%5C%5C24.80%2B2.58%5Ctimes%20%5Cfrac%7B5%7D%7B%5Csqrt%7B49%7D%7D%3D26.64)
Hence, the 99% confidence interval for the population mean is 22.96 to 26.64
Answer:
-n - 2
Step-by-step explanation:
3n+2(-2n-1)
= 3n -4n -2
= -n - 2
<em>i</em><em> </em><em>think</em><em> </em><em>it</em><em> </em><em>is</em><em><u> </u></em><em><u>8</u></em>
Step-by-step explanation:
hope this helps! ;)