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3 years ago

Please help me with this

Mathematics

1 answer:

irinina [24]3 years ago

5 0

Answer:

V ≈ 254.5 in³

Step-by-step explanation:

The volume (V) of the cylindrical tube is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × 3² × 9 = π × 9 × 9 = 81π ≈ 254.5 in³ ( to 1 dec. place )

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One number is twice another number. If the larger is diminished by 10, the result is 2 more than the smaller. Find the numbers.

Stolb23 [73]

2x-10=2. (Answer=6)

2x=12 (you move the -10 to the other side of the equation to make it positive)

Then you divide by 2

2x divided by 2 equals x 12 divided by 2 is 6

So your number is 6. x=6

And you can check this by redoing the equation but putting 6 instead of x

2(6)-10=2

12-10=2

2=2

This equation is true therefore, your unknown number is 6

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3 years ago

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David can run 4 miles in 75 minutes .what is Davides jogging rate per hour ?

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3.2 miles per hour

Step-by-step explanation:

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4 years ago

Find the percent increase decrease of 48 feet to 15 feet

o-na [289]

(original - new)/original * 100%

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4 years ago

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