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Usimov [2.4K]
4 years ago
6

Scott is taking a 3/4-hour dance class twice a week for 8 weeks. How many hours will Scott have spent in dance class at the end

of the 8 weeks?
answer choices: A=6 hours, B=8 hours, C=12 hours, D=16 hours. PLEASE HELP ME SOLVE THIS. ill have more questions when you answer this thank you... it will cost more pts
Mathematics
1 answer:
Eva8 [605]4 years ago
6 0
One class is 45 minutes.
That's 90 minutes per week.
8 weeks times 90 minutes is 720 minutes.
720 minutes divided by 60 minutes in the hour is 12 hours. Answer C.
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Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<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:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

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

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

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

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