What is in between 1.50 and 1.10
2 answers:
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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) <u><em>initial centroids</em></u> 10-40
first cluster (6,12,18,24) mean:15
second cluster (30,42,48) mean:40
<u><em>new centroids</em></u> 15-40
first cluster (6,12,18,24,30) mean:18
second cluster (42,48) mean:45
<u><em>final centroids</em></u> 18-45
first cluster (6,12,18,24,30) mean:18
second cluster (42,48) mean:45
Sum of Squared errors = +
+
+
+
+
+
=378
2)<u><em>initial centroids</em></u> 10-20
first cluster (6,12) mean:9
second cluster (18,24,30,42,48) mean:32.4
<u><em>new centroids</em></u> 9-32.4
first cluster (6,12,18) mean:12
second cluster (24,30,42,48) mean:36
<u><em>new centroids</em></u> 12-36
first cluster (6,12,18,24) mean:15
second cluster (30,42,48) mean:40
<u><em>final centroids</em></u> 15-40
first cluster (6,12,18,24) mean:15
second cluster (30,42,48) mean:40
Sum of Squared errors = +
+
+
+
+
+
=348
A. If you use only the coupon you will have to pay $137.50.
B. Using the Coupon during the sale, the kit is discounted by $112.50
C. The total percent discount is 45% after both discounts.
Step-by-step explanation:
Step 1; The store has the robotics kit for a sale of 25% off $250. So we need to find how much 25% is in terms of $250. To do that we convert 25% into a fraction by dividing it by 100 and multiplying it with $250.
25% of $250 = × $250 = 0.25 × $250 = $62.50
So we find the cost of the kit due to the store's discount. To do that we subtract the discounted price from the original price.
Robotics kit price after 25% discount = $250 - $62.50 = $187.50.
Step 2; A coupon you have gives you an additional 20% discount. So the robotics kit can be brought for 25% off due to the sale at the store, due to this coupon you get an additional 20%. So you get a 45% discount off $250.
45% of $250 = × $250 = 0.45 × $250 = $112.50.
So to find the total discount we subtract this $112.50 from the non-discounted cost of $250.
Total discounted price = $250 - $112.50 = $137.50.
Answer:
b = 81
Step-by-step explanation:
given a² and b are directly proportional then the equation relating them is
a² = kb ← k is the constant of proportionality
to find k use the condition a = 2 when b = 9 , then
2² = 9k
4 = 9k ( divide both sides by 9 )
= k
a² = b ← equation of proportion
when a = 6 , then
6² = b
36 = b ( multiply both sides by 9 to clear the fraction )
324 = 4b ( divide both sides by 4 )
81 = b