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Levart [38]
3 years ago
13

When Maggie hooks her dog up to a rope that is staked in the yard, the dog can walk a distance of about 76 feet along the circum

ference. To the nearest tenth, what is the length of the rope?
C = 76 ft

Choices
12.1 ft

24.2 ft

12.7 ft

8.1 ft

Mathematics
2 answers:
nikdorinn [45]3 years ago
7 0

Answer: 12.1 ft

Step-by-step explanation:

Hi, to answer this we have to apply the circumference formula:

C= 2πr

Where:

C = circumference ( in this case is 76, since the dog can walk a distance of about 76 feet along the circumference.)

r = radius. (In this case the radius is the length of the rope, because the stake is in the center of the circumference)

Replacing with the values given and solving for "r":

76 = 2πr

76 /( 2π)= 12.0957= 12.1 ft

pentagon [3]3 years ago
3 0

Answer:

12.1

Step-by-step explanation:

76/2π

= 38/π

= 12

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Answer:

1.236 × 10^(-3)

Step-by-step explanation:

Let A be the event that the person is a future terrorist

Let B the event that the person is identified as a terrorist

We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;

P(A) = 1000/400000000

P(A) = 0.0000025

P(A') = 1 - P(A)

P(A') = 1 - 0.0000025

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We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99

Thus, P(B'|A) = 1 - P(B|A)

P(B'|A) = 1 - 0.99

P(B'|A) = 0.01

We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998

Hence: P(B|A') = 1 - P(B'|A')

P(B|A') = 1 - 0.998

P(B|A') = 0.002

We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)

We can find it from bayes theorem as follows;

P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]

Plugging in the relevant values;

P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]

P(A|B) = 0.00123597357 = 1.236 × 10^(-3)

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