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iVinArrow [24]
3 years ago
9

If c ī b, what is m<2?

Mathematics
1 answer:
natulia [17]3 years ago
3 0

Answer:

<2 = 90

Step-by-step explanation:

If the lines are perpendicular, the angles are 90 degrees

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In answering on a multiple choice test, a student either know the answer or guesses. Let p be the probability that the students
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Answer:

P(A_{1}|B ) =\frac{mp}{1+p(m-1)}

Step-by-step explanation:

For mutually exclusive events as A1, A2, A3, etc, Bayes' theorem states:

P(A|B)= \frac{P(B|A)P(A)}{P(B)}

P(A|B) is a conditional probability: the likelihood of event A occurring given that B is true.

P(B|A) is a conditional probability: the likelihood of event B occurring given that A is true.

P(A) is the probability that A occurs

P(B) is the probability that B occurs

For this problem:

A1 is the probability that the student knows the answer

A2 is the probability that the student guesses the answer

B is the probability that the student answer correctly

P(A_{1})=p \\P(A_{2})=1-p \\P(B|A_{1})=1 \\P(B|A_{2})=\frac{1}{m} \\P(B)= P(A_{1})P(B|A_{1}) + P(A_{2})P(B|A_{2})= p+\frac{1-p}{m} \\

P(B|A₁) means the probability that the answer is correct when he knew the answer

P(B|A₂) means the probability that the answer is correct when he guessed the answer

P(A₁|B) means the probability that he knew the answer when the answer was correct

Replacing everything in the Bayes' theorem you get:

P(A_{1}|B)= \frac{P(B|A_{1})P(A_{1})}{P(B)}=\frac{(1)(p)}{p+\frac{1-p}{m}} =\frac{mp}{mp+1-p} =\frac{mp}{1+p(m-1)}

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Step-by-step explanation:

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