What did Owen do wrong?

Fatima is on the track team. One day at practice, it took her 19 minutes to run 2 miles. Select the expression that gives this a

monitta

Answer:

Fatima's unit rate is 9.5 minutes per mile.

Step-by-step explanation:

To compute the one unit value of a variable divide the total values of n variables by n.

It is provided that it took Fatima 19 minutes to run 2 miles.

Then the unit rate at which Fatima runs is:

$\text{Unit Rate}=\frac{19}{2}$

$=9.5$

Thus, Fatima's unit rate is 9.5 minutes per mile.

5 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

4 years ago

Please help (long division)

Ivanshal [37]

Answer:

8y^5-6y⁴+1 is the answer

5 0

3 years ago

In the figure, the measure of angle 7 is 57°. What is the measure of angle 8?

pochemuha

Angle (6) + Angle (7) = 180

Angle (6) + 57 = 180

Angle (6) = 180 - 57

Angle (6) = 123

------------

Angle (6) = Angle (8)

-----------

Therefore:

Angle (8) = 123 degrees

5 0

3 years ago

Read 2 more answers

Is 36 T-shirts in 3 boxes equivalent to 60 T-shirts in 6 boxes?

kolbaska11 [484]

Answer:no it is not equivalent

Step-by-step explanation:

36x3=108 so there is 108 shirts in that box

60x6=360 so 360 is in that box

so not equivalent because they have different amounts in the boxes one is more and the other one less

your welcome

7 0

3 years ago

Read 2 more answers