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S_A_V [24]
3 years ago
5

Suppose we train a hard-margin linear SVM on n > 100 datapoints in R₂, yielding a hyperplane with exactly 2 support vectors.

If we add one more datapoint and retrain the classifier, what is the maximum possible number of support vectors for the new hyperplane (assuming the n + 1 points are linearly separable)? Select one of: {2, 3, n, n + 1}. Optional: draw a case that justifies your answer
Mathematics
1 answer:
svlad2 [7]3 years ago
5 0

Answer:It is option one

Step-by-step explanation:It jusyt is

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A new shopping mall is gaining in popularity every day since it open the number of shoppers is 20% more than the numbers of shop
erastovalidia [21]

Answer: the number of shoppers on the first day is 125

Step-by-step explanation:

The number of shoppers is 20% more than the numbers of shoppers the day before. It means that the number of shoppers is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

r = 1 + 20/100 = 1.2

n = 4(first 4 days)

S4 = 671

Therefore, the expression for the first 4 days is

671 = (a × 1.2^(4) - 1)/1.2 - 1

671 = (a × 1.2^(4) - 1)/0.2

671 = 1.0736a/0.2

671 = 5.368a

a = 671/5.368

a = 125

3 0
3 years ago
Charles is going campin with his family. His campsites 7/8 miles away. They walk at a steady speed of 1 1/2 mi/hr. How many minu
Elena L [17]
x-\ travel\ in\ minutes\\\\From\ proportion:\\\\1.5\ \ \ \ -\ \ \ \ 60\\\frac{7}{8}\ \ \  \ \ \ -\ \ \ \ x\\\\1.5x=60\cdot\frac{7}{8}\\\\1.5x=\frac{420}{8}\\\\1.5x=\frac{105}{2}\\\\1.5x=52.5\ \ \ \ \ |:1.5\\\\x=35\ minutes
5 0
3 years ago
Which expression is equivalent to 4√⋅3√⋅5√ ?
likoan [24]

Answer:

2\sqrt{15}

Step-by-step explanation:

To multiply radicals with the same root, you just need to multiply the numbers or expressions inside the root retaining the same root and then simplify the result.

In this case: \sqrt{3} \sqrt{4} \sqrt{5} = \sqrt{60} = 2\sqrt{15}

5 0
3 years ago
Which choice lists the numbers in increasing order -1. 3, 0. 4, -1/3, 5/9. Which choice lists in increasing order?
Katyanochek1 [597]

-1.3,-1/3,0.4,5/9 this is how you put it in increasing order



3 0
3 years ago
Read 2 more answers
Find the probability of each event. Answer IN FRACTION form.
IgorLugansk [536]

Answer:

= 8/6435

Step-by-step explanation:

Number of black balls = 8

Number of Brown balls = 5

Total number of balls = 8+5 = 13

Pr (8 balls picked at random are black ) =

Number of black balls / Total number of balls.

1st Pr ( 8 balls picked are black) = 8/13

Pr (2nd random pick) = 7/12

Pr (3rd random pick) = 6/ 11

Pr (4th random pick) = 5/10

Pr (5th random pick) = 4/9

Pr (6th random pick) = 3/7

Pr (7th random pick) = 2/6

Pr (8th random pick) = 1/5

Pr (8 balls picked at random are black ) = 8/13 * 7/12 * 6/11 * 5/10 * 4/9 * 3/7 * 2/6 * 1/5

= 8/13 * 7/12 * 6/11 * 1/2 * 4/9 * 3/7 * 1/3 * 1/5

= 8/6435

But pls note, I solved it such that there wasn't a replacement after each pick.

Math is fun

4 0
3 years ago
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