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3 years ago

Here is the question: Alicia wrote numbers:2,9,15,21 what of the numbers is not a composite number?

Mathematics

2 answers:

Zolol [24]3 years ago

8 0

the answer is 2 because you can't divided 2 by anything else other then itself

netineya [11]3 years ago

4 0

2 bc nothing goes into 2 where the other ones have factors

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The square root of a product of two positive real numbers is the product of their square roots. Write an algebraic expression ba

Sliva [168]

Step-by-step explanation:

The square root of a product of two positive real numbers is the product of their square roots.

Let 4 and 5 be the two positive real number. The square root of a product of 4 and 5 is the product of their square roots.

$\sqrt{4\cdot 5}$

$=\sqrt{20}$

$=\sqrt{2^2\cdot \:5}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

$=\sqrt{5}\sqrt{2^2}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a$

$\sqrt{2^2}=2$

Therefore,

$\sqrt{4\cdot \:5}=2\sqrt{5}$

NOW SOLVING BY APPLYING RADICAL RULE such that

$\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

$\sqrt{4\cdot 5}=\sqrt{4}\sqrt{5}$

$\sqrt{2^2}=2$

$=2\sqrt{5}$

Hence, The square root of a product of two positive real numbers is the product of their square roots.

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3 years ago

Are angles AFB and DFC vertical?

Alexxandr [17]

Hi,
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Hope this helps you.

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3 years ago

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Arte-miy333 [17]

Answer:

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Step-by-step explanation:

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3 years ago

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A sales agent is paid 4000$ every month and a commission of 0.8% on total sales. If he receives 5192$ at the end of the month, f

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3 years ago

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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