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Alex_Xolod [135]
3 years ago
14

A) Simplify (z^3)^4 B) simplify 18x^8y^5 divided by 2x^5y

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:

A)z12 B)9x^3 y^4

Step-by-step explanation:

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Find the probability of each event.
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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

#SPJ1

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The answer for this question is 0.2
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Answer:

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Jackie wants to buy some hair ties that each cost $5.95, and a lip balm that costs $2.15. She has $20. Use the guess, check, and
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Answer:

She can buy 3 hair ties

Step-by-step explanation:

5.95x3 =17.85 +2.15 = 20 on the dot

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4 years ago
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