Answer:
3/4 a pan
Step-by-step explanation:
2 - 1 1/4 = 3/4
two seperated into fourths would look like this
1/4 1/4 1/4 1/4
1/4 1/4 1/4 1/4
one seperated into fourths would look like this
1/4 1/4 1/4 1/4
so take one and one extra fourth away from two and you're left with
1/4 1/4 1/4
add that together and you have 3/4
Answer:
The coefficient of variation for <em>A</em> is 24.6%.
The coefficient of variation for <em>B</em> is 33.7%.
Step-by-step explanation:
The coefficient of variation (<em>CV</em>) is well defined as the ratio of the standard deviation to the mean. It exhibits the degree of variation in association to the mean of the population.
The formula to compute the coefficient of variation is,
![CV=\frac{SD}{Mean}\times 100\%](https://tex.z-dn.net/?f=CV%3D%5Cfrac%7BSD%7D%7BMean%7D%5Ctimes%20100%5C%25)
Consider the data set <em>A.</em>
Compute the mean of the data set <em>A </em>as follows:
![Mean_{A}=\frac{1}{n}\sum X](https://tex.z-dn.net/?f=Mean_%7BA%7D%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20X)
![=\frac{1}{14}\times [36900+19400+...+26000+38400]\\=30064.2857](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B14%7D%5Ctimes%20%5B36900%2B19400%2B...%2B26000%2B38400%5D%5C%5C%3D30064.2857)
Compute the standard deviation of the data set <em>A </em>as follows:
![SD_{A}= \sqrt{ \frac{ \sum{\left(x_i - Mean_{A}\right)^2 }}{n-1} }](https://tex.z-dn.net/?f=SD_%7BA%7D%3D%20%5Csqrt%7B%20%5Cfrac%7B%20%5Csum%7B%5Cleft%28x_i%20-%20Mean_%7BA%7D%5Cright%29%5E2%20%7D%7D%7Bn-1%7D%20%7D)
![= \sqrt{ \frac{ 712852142.8571 }{ 14 - 1} } \\\approx 7405.051](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%20%5Cfrac%7B%20712852142.8571%20%7D%7B%2014%20-%201%7D%20%7D%20%5C%5C%5Capprox%207405.051)
Compute the coefficient of variation for <em>A</em> as follows:
![CV=\frac{SD_{A}}{Mean_{A}}\times 100\%](https://tex.z-dn.net/?f=CV%3D%5Cfrac%7BSD_%7BA%7D%7D%7BMean_%7BA%7D%7D%5Ctimes%20100%5C%25)
![=\frac{7405.051}{30064.2857}\times 100\%\\=24.6\%](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7405.051%7D%7B30064.2857%7D%5Ctimes%20100%5C%25%5C%5C%3D24.6%5C%25)
The coefficient of variation for <em>A</em> is 24.6%.
Consider the data set <em>B.</em>
Compute the mean of the data set <em>B </em>as follows:
![Mean_{B}=\frac{1}{n}\sum X](https://tex.z-dn.net/?f=Mean_%7BB%7D%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20X)
![=\frac{1}{11}\times [2.1+5.0+...+4.1+1.7]\\=3.2455](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B11%7D%5Ctimes%20%5B2.1%2B5.0%2B...%2B4.1%2B1.7%5D%5C%5C%3D3.2455)
Compute the standard deviation of the data set <em>B </em>as follows:
![SD_{B}= \sqrt{ \frac{ \sum{\left(x_i - Mean_{B}\right)^2 }}{n-1} }](https://tex.z-dn.net/?f=SD_%7BB%7D%3D%20%5Csqrt%7B%20%5Cfrac%7B%20%5Csum%7B%5Cleft%28x_i%20-%20Mean_%7BB%7D%5Cright%29%5E2%20%7D%7D%7Bn-1%7D%20%7D)
![= \sqrt{ \frac{ 11.9873 }{ 11 - 1} } \\\approx 1.0949](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%20%5Cfrac%7B%2011.9873%20%7D%7B%2011%20-%201%7D%20%7D%20%5C%5C%5Capprox%201.0949)
Compute the coefficient of variation for <em>B</em> as follows:
![CV=\frac{SD_{B}}{Mean_{B}}\times 100\%](https://tex.z-dn.net/?f=CV%3D%5Cfrac%7BSD_%7BB%7D%7D%7BMean_%7BB%7D%7D%5Ctimes%20100%5C%25)
![=\frac{1.0949}{3.2455}\times 100\%\\=33.7\%](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1.0949%7D%7B3.2455%7D%5Ctimes%20100%5C%25%5C%5C%3D33.7%5C%25)
The coefficient of variation for <em>B</em> is 33.7%.
Answer: 1.2704 ohm
Step-by-step explanation:
Since resistance is directly proportional to the length of the conductor.
Let x be the resistance of the same conductor at 800 feet.
Then by direct proportion,
![\frac{x}{800}=\frac{0.397}{250}\\\Rightarrow\ x=\frac{0.397\times800}{250}\\\Rightarrow\ x=1.2704](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B800%7D%3D%5Cfrac%7B0.397%7D%7B250%7D%5C%5C%5CRightarrow%5C%20x%3D%5Cfrac%7B0.397%5Ctimes800%7D%7B250%7D%5C%5C%5CRightarrow%5C%20x%3D1.2704)
hence, the resistance of same conductor at 800 feet = 1.2704 ohm
Answer:
2/10
20/100
5/25
Step-by-step explanation:
I hope this helps you
Step-by-step explanation:
We need only two points to the plotting a graph of a line.
for x = 0
![y=\dfrac{1}{4}(0)-1=0-1=-1\to(0,\ -1)](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B4%7D%280%29-1%3D0-1%3D-1%5Cto%280%2C%5C%20-1%29)
for x = 4
![y=\dfrac{1}{4\!\!\!\!\diagup}(4\!\!\!\!\diagup)-1=1-1=0\to(4,\ 0)](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B4%5C%21%5C%21%5C%21%5C%21%5Cdiagup%7D%284%5C%21%5C%21%5C%21%5C%21%5Cdiagup%29-1%3D1-1%3D0%5Cto%284%2C%5C%200%29)