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asambeis [7]
3 years ago
15

During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high

Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer: 0.8015

Step-by-step explanation:

Let F= event that a person has flu

H= event that person has a high temperature.

As per given,

P(F) =0.35

Then P(F')= 1- 0.35= 0.65               [Total probability= 1]

P(H | F) = 0.90

P(H|F') = 0.12

By Bayes theorem, we have

P(F|H)=\dfrac{P(F)\timesP(H|F)}{P(F)\timesP(H|F)+P(F')\timesP(H|F')}\\\\=\dfrac{0.35\times0.90}{0.35\times0.90+0.65\times0.12}\\\\=\dfrac{0.315}{0.315+0.078}\approx0.8015

Required probability = 0.8015

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3 years ago
If each quadrilateral below is a parallelogram,find the missing measures
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Answer:

Step-by-step explanation:

We will use parallelogram properties to answer our given problems.

(1) Since we know that opposite sides of parallelogram are congruent, therefore measure of side MN and side KN will be equal to the measure of their opposite sides.

LM=KN   and   KL=MN

Upon substituting our given values we will get,

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Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

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By opposite angles of parallelogram .

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(3) Property: Opposite sides of parallelogram are congruent.

  and  

Upon substituting our given values we will get,

  and  

Property: Diagonals of parallelogram bisect each other.

So SQ will be 2 times TQ and PT will be half the length of PR.

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

 Alternate interior angles.

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Step-by-step explanation:

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