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3 years ago

10

Need to Solve 2x + 3y =19

1 answer:

stira [4]3 years ago

4 0

So this is a coordinate system so put it into y=mx+b format so 3y+2y=19 3y=19-2x Y=(-2x+19)/3 Y=-2/3x+19/3 19/3=6 and 1/3 So y=-2/3x+19/3 Put in values for x and y and get answers exg If you put in 3 For x then Y=-2+19/3 19/3=6 and1/3 -2+6 and 1/3=4 and 1/3 X=3 and y=4 and 1/3 (or 13/3)

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Answer:

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Step-by-step explanation:

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

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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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