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marissa [1.9K]
3 years ago
14

An observatory is shaped like a cylinder standing on one of its bases with a dome on top.The diameter of the floor of the observ

atory is 64 feet.Witch measurement is closest to the circumference of the base of the observatory in feet ?
Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

200.96\ ft

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=\pi D

in this problem

D=64\ ft

substitute

C=\pi (64)=64\pi\ ft -----> exact value of the circumference

Find the approximate value of the circumference

assume

\pi=3.14

64\pi\ ft=64(3.14)=200.96\ ft

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In a city with one hundred taxis,1 is blue, and 99 are green. A witness observes a hit-and-run by a taxi at night and recalls th
Anton [14]

Answer:

the probability the car was actually blue as claimed by the witness is 33.33%. This is a low percentage and thus, there is a reasonable doubt about the guilt of the client.

Step-by-step explanation:

We are given;

P(car is blue) = 1% = 0.01

P(car is green) = 99% = 0.99

P(witness said blue | car is blue) = 99% = 0.99

P(witness said blue | car is green) = 2% = 0.02

We will solve this by using Bayes’ formula for inverting conditional probabilities:

Thus;

P(car is blue | witness said blue) =

[P(witness said blue | car is blue) × P(car is blue)] / [(P(witness said blue | car is blue) × P(car is blue)) + (P(witness said blue | car is green) × P(car is green))]

Plugging in the relevant values gives;

(0.99 × 0.01)/((0.99 × 0.01) + (0.02 × 0.99)) = 0.3333

Thus, the probability the car was actually blue as claimed by the witness is 0.3333 or 33.33%

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Step-by-step explanation

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