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Nezavi [6.7K]
3 years ago
13

Find the circumference and area of each circle. Include the formula thank you

Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0
Circumference=16 pi
Area=64 pi
Below is my methods

Hitman42 [59]3 years ago
8 0

Answer:

Circumference: 50.27 cm

Area: 201.06 cm²

Step-by-step explanation:

Hi there!

<u>1) Determine the circumference</u>

C=\pi d where d is the diameter of the circle

Plug in the diameter (16 cm)

C=16\pi\\C=50.27

Therefore, the circumference is 50.27 cm when rounded to the nearest hundredth.

<u>2) Determine the area</u>

A=\pi r^2 where r is the radius

Plug in the radius (16/2=8)

A=\pi (8)^2\\A=64\pi\\A=201.06

Therefore, the area of the circle is 201.06 cm² when rounded to the nearest hundredth.

I hope this helps!

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The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the
Mnenie [13.5K]

Answer:

$310.00 is the monthly payment if the phone was used for a total of 2,500 minutes.

Step-by-step explanation:

Since 500 minutes gets $62.00, we can multiply both to get 2,500 minutes, and $310.00.

<h2><u>Hope This Helped!</u></h2>
5 0
3 years ago
The cost to produce a batch of granola bars is approximately Normally distributed with a mean of $7.19 and a standard deviation
Bumek [7]

Answer:

0.7780

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that \mu = 7.19, \sigma = 0.86

Sample of 12:

n = 12, s = \frac{0.86}{\sqrt{12}} = 0.2483

What is the probability that the mean cost will be more than $7.00?

This is 1 subtracted by the pvalue of Z when X = 7. So

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

By the Central Limit Theorem

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

Z = \frac{7 - 7.19}{0.2483}

Z = -0.765

Z = -0.765 has a pvalue of 0.222

1 - 0.222 = 0.778

So the answer is 0.7780

6 0
3 years ago
to Make 2 Batches of nut bars jayda needs to use 4 eggs . How Many Eggs are Used in each batch of nut bars .
dimulka [17.4K]
2 eggs are used for each batch of nut bars
3 0
3 years ago
9/12 as an equivelant fraction
Phantasy [73]

Answer:

3/4

Step-by-step explanation:

9/12

Divide the top and bottom by 3

9/3 = 3

12/3 = 4

The fraction becomes 3/4

3 0
3 years ago
An economist studying fuel costs wants to estimate the mean price of gasoline in her state on a certain day. On that day, she ta
irina1246 [14]

Answer:

($2.19,$2.39)

Step-by-step explanation:

khan

6 0
3 years ago
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