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KonstantinChe [14]
3 years ago
7

What is the area of a circle if the diameter is 6 centimeters?

Mathematics
2 answers:
Klio2033 [76]3 years ago
6 0

Answer:

18pi or 56.52 if you substitute pi with 3.14

Step-by-step explanation:

Dima020 [189]3 years ago
6 0

Answer:

28.26 {cm}^{2}

Step-by-step explanation:

First let's find the radius

d = 2r \\ 6 = 2r \\  \frac{6}{2}  =  \frac{2r}{2}  \\ 3 = r

Now let's find the area.

\pi {r}^{2}  \\ 3.14  \times 3 \times 3 \\  = 28.26 {cm}^{2}

hope this helps

brainliest appreciated

good luck !have a nice day

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A study investigating the relationship between age and annual medical expenses randomly samples 400 individuals in a city. It is
ICE Princess25 [194]

Answer:

The probability is 0.789

Step-by-step explanation:

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

Normal probability distribution

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.

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.

In this problem, we have that:

\sigma = 16, n = 400, s = \frac{16}{\sqrt{400}} = 0.8

Find the probability that the mean age of the individuals sampled is within one year of the mean age for all individuals in the city.​

Using \mu = 30, this is the pvalue of Z when X = 31 subtracted by the pvalue of Z when X = 29. So

X = 31

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

By the Central Limit Theorem

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

Z = \frac{31 - 30}{0.8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 29

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

Z = \frac{29 - 30}{0.8}

Z = -1.25

Z = -1.25 has a pvalue of 0.1056

0.8944 - 0.1056 = 0.7888

Rounded to three decimal places, 0.789

The probability is 0.789

4 0
3 years ago
Read 2 more answers
A computer company produces an extremely light laptop and they claim it is the lightest on the market weighing only 32 ounces. t
Darina [25.2K]

Solution: We are given:

\mu=0.33,  \sigma =0.7

Let x be the weight (oz) of laptop

We have to find P(x>32)

To find the this probability, we need to find the z score value.

The z score is given below:

z=\frac{x-\mu}{\sigma}

       =\frac{32-33}{0.7}

       =-1.43

Now, we have to find P(z>-1.43)

Using the standard normal table, we have:

P(z>-1.43)=0.9236

0.9236 or 92.36% of laptops are overweight

       


4 0
3 years ago
The area of a rectangle in 24 square units. A diagonal drawn from one corner to another divides the rectangle into two right tri
mamaluj [8]

Answer:

12

Step-by-step explanation:

24/2=12

the triangles are congruent

3 0
3 years ago
What is the solution to the inequality?
Dvinal [7]
-4x-8>-20
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-4x>-12

Divide by 4 on both sides
x<3
Should be A.
Hope this helps.
4 0
3 years ago
At the playground, the new sandbox was 10 meters wide and had an area of 60 square meters. How long is the sandbox?
Gnoma [55]

Answer:

6 meters

Step-by-step explanation:

Area is length times width. If the width is 10 and the area is 60, then you would find 10 times ??? equals 60. Or 60 divided by 10. which is 6

7 0
3 years ago
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