Answer:
2(5x-3y-1)
Step-by-step explanation:
perimeter of a rectangle formula:
2l+2w
l=length(2x-3y)5x
w=width(3x-1)
2(2x-3y)+2(3x-1)
4x-6y+6x-2
10x-6y-2
2) all of these numbers have a gcf of 2 so lets divide this equation by 2:
2(5x-3y-1)
hope this helps!
Answer:
a) 18.98%
b) -0.2142
c) (183000,407000)
d) (127000,463000)
Step-by-step explanation:
We are given the following in the question:
Mean, μ = $295,000
Standard Deviation, σ = $56,000
a) Coefficient of variation
![COV =\dfrac{\sigma}{\mu} = \dfrac{56000}{295000}\\\\=0.1898\\=18.98\%](https://tex.z-dn.net/?f=COV%20%3D%5Cdfrac%7B%5Csigma%7D%7B%5Cmu%7D%20%3D%20%5Cdfrac%7B56000%7D%7B295000%7D%5C%5C%5C%5C%3D0.1898%5C%5C%3D18.98%5C%25)
b) z-score
x = $283,000
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Putting the value, we get,
![z_{score} = \displaystyle\frac{283000-295000}{56000} = -0.2142](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B283000-295000%7D%7B56000%7D%20%3D%20-0.2142)
c) 95% interval
Empirical Rule:
- According to this rule almost all the data lies within three standard deviation of mean for a normal distribution.
- About 68% of data lies within one standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
![\mu \pm 2(\sigma)\\=295000 \pm 2(56000)\\=(183000,407000)](https://tex.z-dn.net/?f=%5Cmu%20%5Cpm%202%28%5Csigma%29%5C%5C%3D295000%20%5Cpm%202%2856000%29%5C%5C%3D%28183000%2C407000%29)
Thus, the price of 95% of the homes lies between $183,000 and $407,000.
d) 90% interval
Chebyshev's Rule:
- For a non normal data atleast
percent of data lies within k standard deviation of mean. - For k = 3
![1 - \dfrac{1}{(3)^2} = 88.89\% \approx 90\%](https://tex.z-dn.net/?f=1%20-%20%5Cdfrac%7B1%7D%7B%283%29%5E2%7D%20%3D%2088.89%5C%25%20%5Capprox%2090%5C%25)
Thus, 90% of prices will lies within three standard deviation of mean.
![\mu \pm 3(\sigma)\\=295000 \pm 3(56000)\\=(127000,463000)](https://tex.z-dn.net/?f=%5Cmu%20%5Cpm%203%28%5Csigma%29%5C%5C%3D295000%20%5Cpm%203%2856000%29%5C%5C%3D%28127000%2C463000%29)
According to Chebyshev's Theorem 90% of prices will lie between $127,000 and $463,000.
Answer:
18.84 inches
Step-by-step explanation:
the equation is 2r(3.14)
2 x 3 = 6
6 x 3.14 = 18.84 inches
Answer:
c = 25
Step-by-step explanation:
A^2 + B^2 = C^2.
25^2 + 15^2 = 625 THIS IS NOT THE ANSWER BECAUSE WE WANT C NOT C^2!!! So, we have to find the square root. √625 = 25.
The answer is (-21, 13) for The second endpoint.
Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.
(Kx + Lx)/2 = Mx
(Kx + 1)/2 = -10
Kx + 1 = -20
Kx = -21
And now we do the same thing for y values
(Ky + Ly)/2 = My
(Ky + 7)/2 = 10
Ky + 7 = 20
Ky = 13
This gives us the final point of (-21, 13)