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Elanso [62]
2 years ago
14

Unit 3 parallel and perpendicular lines answer key

SAT
1 answer:
TiliK225 [7]2 years ago
4 0

Answer:

Which gradeeeee********

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In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). Nancy has not studied for the exa
maria [59]

Using the binomial distribution, it is found that there is a 0.6836 = 68.36% probability that she guesses at least one right.

For each question, there are only two possible outcomes, either she gets it right or she does not get it right. The probability of getting a question right is independent of any other question, hence the <em>binomial distribution</em> is used to solve this question.

<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:

  • There are 5 questions, hence n = 5.
  • For each question, she guesses one out of 4 options, hence p = 1/4 = 0.25.

The probability that she guesses at least one right is:

P(X \geq 1) = 1 - P(X = 0)

In which:

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

P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164

Hence:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836

0.6836 = 68.36% probability that she guesses at least one right.

You can learn more about the binomial distribution at brainly.com/question/24863377

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2 years ago
15.1 central angles and inscribed angles homework answers
JulsSmile [24]

The central and inscribed angle theorem is used to solve angles and arc measure in a circle.

<h3>What is the Central and Inscribed Angles Theorem?</h3>

The theorem shows the relationship of the measures of an inscribed angle, central angle, and their intercepted arc.

It states that:

  • central angle measure = measure of inscribed angle.
  • inscribed angle measure = 1/2(measure of inscribed angle)

Therefore, the central and inscribed angle theorem is used to solve angles and arc measure in a circle.

Learn more about central and inscribed angle theorem on:

brainly.com/question/5436956

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The term used is called “Goods”
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