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2 years ago

Find the area of a circle with a radius of 8.

Mathematics

2 answers:

Alenkinab [10]2 years ago

6 0

Answer:

200.96cm²

Step-by-step explanation:

Given

Radius of the circle =8cm

To Find

area of the circle

Formula used

area of circle = πr²

Solution

area of circle = π r²

area of circle= π (8)²

area of circle = π64

as π =3.14

therefore

area of circle 64 x 3.14cm²

area of circle = 200.96cm2

Ostrovityanka [42]2 years ago

5 0

Answer:

201.06

Step-by-step explanation:

Area of a circle = pi x r^2

= 201.06

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Step-by-step explanation:

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3 years ago

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Evgesh-ka [11]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 137.1 ft an

Rama09 [41]

Answer:

0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.

0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 137.1, \sigma = 3.2$

A tree of this type grows in my backyard, and it stands 132.3 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

This is the pvalue of Z when X = 132.3. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{132.3 - 137.1}{3.2}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.

My neighbor also has a tree of this type growing in her backyard, but hers stands 143.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.

This is 1 subtracted by the pvalue of Z when X = 143.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{143.5 - 137.1}{3.2}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.

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3 years ago

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saw5 [17]

Answer:

Kotz I don’t know the answer because I’m to lazy to do it - but I need to talk to you again... it’s me Ellis - you don’t have to rejoin the server but message me 503 333 0177.

Step-by-step explanation:

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3 years ago