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3 years ago

A square garden is 50 inches long on each side.What is the length of the perimeter in feet?

Mathematics

1 answer:

leva [86]3 years ago

5 0

Answer:

50/3 feet

Step-by-step explanation:

A square has 4 equal sides, so the perimeter is 4*50, or 200 inches.

But we want the answer in feet. There are 12 inches in a foot, so the perimeter in feet is 200/12 or 50/3 feet.

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a group of mountain climbers begin an expedition with 270 pounds of food. They plan to eat a total of 15 pounds of food per day.

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The equation would be 270/15 (divide) and the answer would be 18

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A baseball pitcher won 60% of his games. How many did he win if he pitched 35 games?

Sergio039 [100]

Answer:

21 games

Step-by-step explanation:

Multiply the number of games by the percentage.

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3 years ago

If 120% of a number is 24, what is the number?

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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) initial centroids 10-40

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

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

new centroids 15-40

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

second cluster (42,48) mean:45

final centroids 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)initial centroids 10-20

first cluster (6,12) mean:9

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

new centroids 9-32.4

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

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

new centroids 12-36

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

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

final centroids 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