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Galina-37 [17]
2 years ago
10

camelback mountain has an elevation change of 1,264 feet. how many pennies would it take to make a stack that high ? show all wo

rk
Mathematics
1 answer:
gtnhenbr [62]2 years ago
3 0

              Camel back Mountain = 15,168 inches (1,264 feet)

  • 1 Penny = 0.061 (.0610) Inches
  • 10 Penny = 0.61 (.610) Inches
  • 100 Penny = 6.1 (6.10) Inches
  • 1,000 Penny = 61 (61.0) Inches
  • 10,000 Penny = 610 (610.0) Inches

                                                   <u>-SOLVING-</u>

10,000 Penny = 610 inches PLUS

1,000 Penny = 61 inches AND 61 inches x 5 = 305 (5,000 Penny)

100 Penny = 6.1 inches PLUS

10 Penny = 0.61 inches AND 0.61 inches x 6 = 3.66 (60 Penny)

1 Penny = 0.061 inches AND 0.061 inches x 8 = 0.488 (8 Penny)

                                            -<u>FINAL ANSWER-</u>

610 + 305 + 6.1 + 3.66 + 0.488 = 925.248 Penny it would take.

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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)!}

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

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

In which:

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

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

P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461

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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

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