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sasho [114]
3 years ago
14

3. Find the radius of a circle with a circumferenceof 106.81 centimeters.​

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0

For this case we have that by definition, the circumference of a circle is given by:

C = \pi * d

Where:

d: It is the diameter of the circle.

d=2r

Clearing we have:

C=2\pi*r\\r=\frac{C}{2\pi}\\r=\frac{106.81}{2\pi}\\r=17,0079

Rounding the amount and \pi=3.14

Then, the radius of the circle is 17 centimeters

ANswer:

r = 17 \ cm

Marizza181 [45]3 years ago
4 0

<u>Answer:</u>

r = 16.9 cm

<u>Step-by-step explanation:</u>

We are given the circumference of a circle to be 106.81 cm and with the help of this, we are to find the radius of the circle.

We know that the formula for the circumference is given by:

2\pi r

so equating the given value to get:

2 \pi r = 106.81

r = \frac { 106.81 } { 2\times \pi }

r = 16.9 cm

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We know diameter d=8 and height h=16.

First find the radius of the bottom of the cylinder,

r=\dfrac{d}{2}=\dfrac{8}{2}=4.

Then find the area of the bottom of cylinder,

A=\pi r^2=16\pi.

Then to find volume just multiply the height with the area of the bottom of the cylinder,

V=Ah=16\cdot16\pi=16^2\pi\approx804.247\mathrm{cm^3}.

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Answer:

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Step-by-step explanation:

First, we start at 12°f. Then, the temperature changes by -26°f. This means that we add (-26°f) to what we currently have. We then have

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Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t
NeTakaya

Answer:

\mu = 11

\sigma = 2.08

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when Z = -1.44, X = 8. So

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

-1.44 = \frac{8 - \mu}{\sigma}

8 - \mu = -1.44\sigma

\mu = 8 + 1.44\sigma

Also, when X = 14, Z has a pvalue of 0.925, so when X = 8, Z = 1.44

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

1.44 = \frac{14 - \mu}{\sigma}

14 - \mu = 1.44\sigma

1.44\sigma = 14 - \mu

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Standard deviation:

1.44\sigma = 14 - \mu

1.44\sigma = 14 - 11

\sigma = \frac{3}{1.44}

\sigma = 2.08

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