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krek1111 [17]
4 years ago
3

What is the approximate circumference of the circle shown below

Mathematics
2 answers:
babymother [125]4 years ago
8 0

Answer: A. 48.7 cm

Step-by-step explanation:

The circumference of circle is given by :_

\text{Circumfernce}=\pi d , where d= diameter of the circle .

In the given [picture , we are given that the diameter of the circle = 15.5 cm

Then, the circumference of the circle will be :-

\text{Circumfernce}=\pi (15.5)\ cm

Substitute \pi =3.14 , we get

\text{Circumfernce}=(3.14) (15.5)\ cm

\text{Circumfernce}=48.67\approx48.7\ cm

Hence, the approximate circumference of the circle = 48.7 cm

Thus , the correct answer is 48.7 cm  .

Nookie1986 [14]4 years ago
4 0

Answer:

A. 48.7cm

Reason:

The way to find circumference is Pi times the diameter so simply do this:

15.5 \times \pi = 48.694686

round it and you'll get to 48.7cm

Hope it helps :)

Sorry if not :(

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What is the probability that more than 20% do not have health insurance?

We can use the Normal distribution as an approximation to the Binomial distribution since the following conditions are satisfied.

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n×(1 - p) ≥ 5   (satisfied)

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P(X > 100) = 1 - P(X < 100)

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

P(X > 100.5) = 1 - P(X < 100.5)\\\\P(X > 100.5) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 100.5) = 1 - P(Z < \frac{100.5 - 80}{8.197} )\\\\P(X > 100.5) = 1 - P(Z < \frac{20.5}{8.197} )\\\\P(X > 100.5) = 1 - P(Z < 2.50)\\\\

The z-score corresponding to 2.50 is 0.9938

P(X > 100.5) = 1 - 0.9938\\\\P(X > 100.5) = 0.0062 \\\\P(X > 100.5) = 0.62\% \\\\

Therefore, there is 0.0062 probability that more than 20% of Americans do not have health insurance.

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