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Zanzabum
3 years ago
6

in circle o, points a and b lie on the circle such that OA=5x-11 and OB=4(x-1) what represents the length of the circle' s diame

ter
Mathematics
1 answer:
AysviL [449]3 years ago
3 0
We know that
if <span>points a and b lie on the circle  and O is the center
so
OA is the radius
OA=OB
5x-11=4(x-1)-----> 5x-11=4x-4----> 5x-4x=11-4-----> x=7
OA=5x-11-------> OA=5*7-11-----> OA=24  units

the diameter is (OA+OB)
2*OA------> 2*24------> 48 units</span>
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Sav [38]

Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.

<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.

The values of the parameters are given as follows:

n = 20, p = 0.05.

The probability that 3 or fewer experienced insomnia as a side effect is given by:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Hence:

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

P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585

P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774

P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

Then:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842

0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.

Since this probability is greater than 95%, this is a highly likely event.

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

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2 years ago
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Answer:

The third side is 3\sqrt{2}

Step-by-step explanation:

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Answer:  The third side is 3\sqrt{2}

7 0
3 years ago
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