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bonufazy [111]
3 years ago
5

How wide is the gate

Mathematics
1 answer:
nevsk [136]3 years ago
5 0
12 cm long and 7 wide
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Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the
ki77a [65]

Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

<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, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

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

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

0.125 = 12.5% probability of observing exactly 3 tails.

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

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What is the volume of this figure?<br><br> Enter your answer in the box.<br><br> yd³
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Step-by-step explanation:

This Is for the 4.07 K-12 Quiz! <3

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If two sides of a triangle are 9cm and 15cm in length, which COULD be the measure of the third side?
MArishka [77]
The lemght could be 15 because a triangle has two long sides and one short one and the two are equivalent
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Line b has a slope of 5/7. Line c has a slope of 7/5. Are line b and line c parallel, perpendicular, or neither?
anzhelika [568]

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