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solong [7]
2 years ago
5

Use the formula s = rwt to find the value of the

Mathematics
1 answer:
Vinil7 [7]2 years ago
6 0

Answer:

π/36 sec-1

Step-by-step explanation:

From the question we are given the formula below

s = rwt ..........eqn(1)

Where s= π/3m, r=3 m, t= 4 sec

We were not given value of " w" which implies we are required to find out values of" w"

We can make " w " the subject of the formula from eqn(1)

s = rwt

w= s/(rt)........eqn(2)

Then substitute for the values in eqn(2)

w= (π/3m ) / ( 3m × 4 sec)

= π/36 sec-1

Hence, the value of the

missing variable is π/36 sec-1

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Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

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With 5 shoots, the probability of making at least one is \frac{211}{243}, hence the probability of making none, P(X = 0), is \frac{232}{243}, hence:

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Then, with 6 shoots, the parameters are:

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The probability that at least two of them make it inside the recycling bin is:

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In which:

[P(X < 2) = P(X = 0) + P(X = 1)

Then:

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P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527

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P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

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