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NARA [144]
3 years ago
15

Is circle Tangent lines

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

no because it is not a right angled triangle.

this means angle A is not 90° so AB cant be a tangent.

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Justin has 20 pencils, 25 erasers, and 40 paper clips. He organizes them into groups with the same numer of items in each group.
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At Sally's Hair Salon there are three hair stylists. 36% of the hair cuts are done by Chris, 26% are done by Karine, and the res
Marina86 [1]

Answer:

Probability that their hair was done by Amy is 0.475.

Step-by-step explanation:

We are given that Sally's Hair Salon there are three hair stylists. 36% of the hair cuts are done by Chris, 26% are done by Karine, and the rest are done by Amy.

Let the Probability of hair cutting done by Chris = P(C) = 0.36

Probability of hair cutting done by Karine = P(K) = 0.26

Probability of hair cutting done by Amy = P(A) = 0.368

Also, let NS = event that customer is not satisfied with his cutting

So, Probability that customers are not satisfied given that their hair cutting is done by Chris = P(NS/C) = 0.05

Probability that customers are not satisfied given that their hair cutting is done by Karine = P(NS/K) = 0.06

Probability that customers are not satisfied given that their hair cutting is done by Amy = P(NS/A) = 0.08

Now, a customer leaving the salon is selected at random. If the customer is not satisfied, the probability that their hair was done by Amy is given by = P(A/NS)

For finding the above probability we will use the concept of Bayes' Theorem;

SO, P(A/NS)  =  \frac{\text{P(A) \times P(NS/A)}}{\text{P(C) \times P(NS/C) + P(K) \times P(NS/K) +P(A) \times P(NS/A) }}\frac{P(A) \times P(NS/A) }{P(C) \times P(NS/C) +P(K) \times P(NS/K) +P(A) \times P(NS/A) }

                     =  \frac{0.38 \times 0.08}{0.36 \times 0.05+0.26 \times 0.06+0.38 \times 0.08}

                     =  \frac{0.0304}{0.064}

                     =  <u>0.475</u>

<em>Hence, the probability that their hair was done by Amy is 0.475.</em>

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3 years ago
A road crew must repave a road that is 45 miles long. they can repave 120 miles each hour. how long will it take the crew to rep
Nostrana [21]
<span>120 miles----------------------1 hour.
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x=  45 / 120 = 0.375 hours 


</span>
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