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Katen [24]
3 years ago
7

Find the arc length of AB⌢. Round your answer to the nearest hundredth.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

3.14 ft

Step-by-step explanation:

The arc AB is the minor arc of the given circle. The length l of the minor arc of a circle is given as

l = Ф°/360° × 2πr

where

Ф is the angle of the arc at the center of the circle

r is the radius of the circle and

π is a mathematical constant equivalent to 22/7

r = 8/2 = 4 ft

Hence

l = 45°/360° × 2 × 22/7 × 4

= 22/7 ft

= 3.14 ft

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Step-by-step explanation:

We have these following probabilities:

61% probability that Christine find a coach.

100 - 61 = 39% probability that Christine does not find a coach.

With a coach, a 21% probability of failing.

Without a coach, a 51% probability of failing.

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21% of 61%(finds a tutor) plus 51% of 39%(does not find a tutor). So

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0.327 = 32.7% probability that Christine fails the course

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This can be formulated by the Bayes formula:

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

In which P(B|A) is the probability of B happening given that A happened and P(A|B) is the probability of A happening given that B happened.

In this question.

P(B|A) is the probability of finding a tutor given that she failed.

P(B) is the probability of finding a tutor. So P(B) = 0.61.

P(A|B) is the probability of failing when finding a tutor. So P(A|B) = 0.21

P(A) is the probability of failing. So P(A) = 0.327.

So

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0.3917 = 39.17% probability that she had found someone to help

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