Answer:
220
Step-by-step explanation:
If we take 20 common (as in we can take it out and group the rest) , we can say 20 (15 7/9-4 7/9) which is equal to 20 (11). 20x11 = 220.
X can be any real number
As long as it is to the power of 0, it will equal one. And because 6^0 = 1, 1^x can be any positive number, and it will still give you one.
As stated by WojtekR, even negative numbers can get 1
x = - 5
(6^0)^-5 = 1^-5 = 1/1 = 1
~ Thanks @WojtekR
First, find the mean. You'll need it to compute the variance.
![\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cdisplaystyle%5Cfrac15%5Csum_%7Bi%3D1%7D%5E5x_i%3D%5Cdfrac%7B21%2B10%2B6%2B7%2B11%7D5%3D11)
The variance of the sample is then computed with the formula
![s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5](https://tex.z-dn.net/?f=s%5E2%3D%5Cdisplaystyle%5Cdfrac1%7B5-1%7D%5Csum_%7Bi%3D1%7D%5E5%28%5Cbar%20x-x_i%29%5E2%3D%5Cdfrac%7B%2821-11%29%5E2%2B%5Ccdots%2B%2811-11%29%5E2%7D4%3D%5Cdfrac%7B71%7D2%3D35.5)
The standard deviation is the square root of the variance, so
Answer:
<u>-</u><u>5</u><u>g</u><u>(</u><u>4</u><u>)</u><u> </u><u>-</u><u> </u><u>1</u><u> </u><u>is</u><u> </u><u>9</u>
Step-by-step explanation:
![g(x) = 1 - \frac{3}{4} x](https://tex.z-dn.net/?f=g%28x%29%20%3D%201%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20x)
when x is 4:
![g(4) = 1 - \frac{3}{4} \times 4 \\ = 1 - 3 \\ = - 2](https://tex.z-dn.net/?f=g%284%29%20%3D%201%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Ctimes%204%20%5C%5C%20%20%3D%201%20-%203%20%5C%5C%20%20%3D%20%20-%202)
therefore:
![- 5g(4) - 1 = - 5( - 2) - 1 \\ = 10 - 1 \\ = 9](https://tex.z-dn.net/?f=%20-%205g%284%29%20-%201%20%3D%20%20-%205%28%20-%202%29%20-%201%20%5C%5C%20%20%3D%2010%20-%201%20%5C%5C%20%20%3D%209)
<span>K-means clustering is a data mining learning algorithm used to cluster observations into groups of related observation without any prior knowledge of those relationships.
Hope this Helpful !</span>