Answer:
7.065 sq. cm
Step-by-step explanation:
Diameter= 3 cm
Since 2r=d, the radius is 1.5 cm
Circle area formula:
πr^2 --> 3.14(r^2)
Plug in r:
A=3.14(1.5^2)
A=3.14(2.25)
A=7.065
Answer:
The 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population mean, when the population standard deviation is not provided is:
![CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%20%5Cpm%20t_%7B%5Calpha%2F2%2C%20%28n-1%29%7D%5Ccdot%20%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
The sample selected is of size, <em>n</em> = 50.
The critical value of <em>t</em> for 95% confidence level and (<em>n</em> - 1) = 49 degrees of freedom is:
![t_{\alpha/2, (n-1)}=t_{0.05/2, 49}\approx t_{0.025, 60}=2.000](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%2C%20%28n-1%29%7D%3Dt_%7B0.05%2F2%2C%2049%7D%5Capprox%20t_%7B0.025%2C%2060%7D%3D2.000)
*Use a <em>t</em>-table.
Compute the sample mean and sample standard deviation as follows:
![\bar x=\frac{1}{n}\sum X=\frac{1}{50}\times [1+5+6+...+10]=6.76\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{49}\times 31.12}=2.552](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20X%3D%5Cfrac%7B1%7D%7B50%7D%5Ctimes%20%5B1%2B5%2B6%2B...%2B10%5D%3D6.76%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%5Csum%20%28x-%5Cbar%20x%29%5E%7B2%7D%7D%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B49%7D%5Ctimes%2031.12%7D%3D2.552)
Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:
![CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%20%5Cpm%20t_%7B%5Calpha%2F2%2C%20%28n-1%29%7D%5Ccdot%20%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
![=6.76\pm 2.000\times \frac{2.552}{\sqrt{50}}\\\\=6.76\pm 0.722\\\\=(6.038, 7.482)\\\\\approx (6.0, 7.5)](https://tex.z-dn.net/?f=%3D6.76%5Cpm%202.000%5Ctimes%20%5Cfrac%7B2.552%7D%7B%5Csqrt%7B50%7D%7D%5C%5C%5C%5C%3D6.76%5Cpm%200.722%5C%5C%5C%5C%3D%286.038%2C%207.482%29%5C%5C%5C%5C%5Capprox%20%286.0%2C%207.5%29)
Thus, the 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).
Okay so first we need to find the height ofn one hay barrel. To do this we must use the equations v= h×w×l
We already know 3 out of the 4 variables in the equations, in this case we are given the volume so we must work backwards.
The equation will look like this:
![10 \frac{2}{3} = h \times (1 \frac{1}{3} ) \times 4](https://tex.z-dn.net/?f=10%20%5Cfrac%7B2%7D%7B3%7D%20%20%20%20%3D%20h%20%5Ctimes%20%281%20%20%5Cfrac%7B1%7D%7B3%7D%20%29%20%5Ctimes%204)
First we must mulitpy 4 and 1 1/3 to get 16/3. The equation will now look like:
![10 \frac{2}{3} = h \times \frac{16}{3}](https://tex.z-dn.net/?f=10%20%5Cfrac%7B2%7D%7B3%7D%20%20%3D%20h%20%5Ctimes%20%20%5Cfrac%7B16%7D%7B3%7D%20)
Next divide 16/3 from h then from 10 2/3 to get :
![2 = h](https://tex.z-dn.net/?f=2%20%3D%20h)
The height is 2ft. Finally multiply 2 by the number of hay barrels (8) placed upon each other becuase we're finding the height and you will get your answer of 16 ft in height.
Answer:
no
Step-by-step explanation:
because they have 2 different answers