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Katyanochek1 [597]
3 years ago
7

You binge watch two of your favorite shows on Netflix over a long weekend. One of the shows is a sitcom, where each episode is 2

4 minutes, and the other is a drama, where each episode is 42 minutes. You spend a total of 1764 minutes watching a total of 54 episodes.
Mathematics
1 answer:
Len [333]3 years ago
7 0
What are you asking?
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Consider a set of one-dimensional points: 6, 12, 18, 24, 30, 42, 48.
Vinvika [58]

Answer:

1) With initial centroids 10-40, final clusters are

first cluster (6,12,18,24,30)

second cluster (42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 378

2) With initial centroids 10-20, final clusters are

first cluster (6,12,18,24)  

second cluster (30,42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 348

Step-by-step explanation:

K-means works as follows

  • the points will be clustered according to their distance to the centroids.
  • Then centroids are updated as the cluster means.
  • This process continues until clusters doesn't change anymore

1)  <u><em>initial centroids</em></u> 10-40

first cluster (6,12,18,24)  mean:15

second cluster (30,42,48) mean:40

<u><em>new centroids</em></u> 15-40

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

<u><em>final centroids</em></u> 18-45

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

Sum of Squared errors = (18-6)^{2}+(18-12)^{2}+(18-18)^{2}+(18-24)^{2}+(18-30)^{2}+(45-42)^{2}+(45-48)^{2}=378

2)<u><em>initial centroids</em></u> 10-20

first cluster (6,12)  mean:9

second cluster (18,24,30,42,48)  mean:32.4

<u><em>new centroids</em></u> 9-32.4

first cluster (6,12,18) mean:12

second cluster (24,30,42,48) mean:36

<u><em>new centroids</em></u> 12-36

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

<u><em>final centroids</em></u> 15-40

first cluster (6,12,18,24) mean:15  

second cluster (30,42,48) mean:40

Sum of Squared errors = (15-6)^{2}+(15-12)^{2}+(15-18)^{2}+(15-24)^{2}+(40-30)^{2}+(40-42)^{2}+(40-48)^{2}=348

6 0
3 years ago
On a Saturday a library check out 66 books and if 18 of the books were fiction what is the ratio of nonfiction books to fiction
dalvyx [7]
66 - 18 = 48
Nonfiction : Fiction
48 : 18
Divide both by 6
8 : 3
8 0
4 years ago
Read 2 more answers
Simplify 10(2x + 3) - 20. 20x + 10 20x - 17 20x - 10
Tatiana [17]

10(2x+3) - 20

 multiply 10 by 2x and by 3 to get

20x+30-20

subtract 20 to get

20x+10

8 0
3 years ago
Read 2 more answers
What is the opposite of 2 1
strojnjashka [21]
The opposite of that would be -17
6 0
3 years ago
A recreation center holds a soccer game every Saturday morning for older teens. The group agreed that there should be at least f
Lyrx [107]

Answer:

They can play for 1 hour and 20 minutes from the beginning of the game.

Step-by-step explanation:

Start playing with 17 players.

At 1 hour, there are 14 players left.

At 1:05, there are 11 players left.

At 1:10, there are 8 players left.

At 1:15, there are 5 players left.

At 1:20, there are 2 players left, and play stops.

They can play for 1 hour and 20 minutes from the beginning of the game.

5 0
4 years ago
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