All categories

4 years ago

Solve the 2 step equation -7y=-91

1 answer:

8 0

Let's solve your equation step-by-step.−7y=−91 Step 1: Divide both sides by -7.−7y−7=−91−7y=13 Answer:y=13

You might be interested in

A number is divided by four. The result is added to five. This result is multiplied by three to give 27. What is the number?

Damm [24]

The answer is 16

Explanation:16/4=4

4+5=9

9*3=27

3 0

3 years ago

Read 2 more answers

Solve by factoring: 2sinxcosx=sinx in [0,2π)

3241004551 [841]

2sin(x)cos(x) = sin(x)
2sin(x)cos(x) - sin(x) = 0
sin(x)(2cos(x) - 1) = 0
sin(x) = 0
x = 0, pi, 2pi
2cos(x) - 1 = 0
cos(x) = 1/2
x = pi/3, 5π/pi
x = 0, pi/3, pi, 5 pi/3, 2 pi
hope it helps

4 0

3 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

Hey guys I really need help and it also asks to give my answer as a decimal!

amid [387]

Answer:

(1,5) is your answer

Step-by-step explanation:

You would have to divide the

2 and 10 by 2 and you would get (1,5)

Hope that help!Have a GREAT day!!

And Brainiest is needed!

7 0

3 years ago

10.5 as a mixed number

alex41 [277]

10 1/2
how I got that:
so the whole number stays the same
5/10
simplifies to
1/2
:-)

3 0

4 years ago

Read 2 more answers