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3 years ago

How many line segments are in the 20th figure?

Mathematics

1 answer:

Trava [24]3 years ago

5 0

The first figure has 3 line segments.

the second figure has 3+3 =3*2 = 6 line segments

the third figure has 3+3+3 = 3*3 = 9 line segments

the fourth figure has 3+3+3+3=3*4=12 line segments...

so it is clear that:

the 20th figure has 3*20=60 line segments.

Answer: 60

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Natali [406]

Answer:

(a)

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(b)

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Step-by-step explanation:

(a)

Case 1

Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be

$p^4 (1-p)$

Case 2

Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be

$(1-p)^4p$

Therefore the probability that you stop at the fifth flip would be

$p^4 (1-p) + (1-p)^4 p$

(b)

The expected numbers of flips needed would be

$\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1} = 1/p$

Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

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2 years ago

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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andrew11 [14]

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