All categories

3 years ago

What is the radius of a circle if it's area is 36π?

Mathematics

1 answer:

alexira [117]3 years ago

5 0

Area= pi x r^2
hence,

pi x r^2 = 36 x pi

=> r^2=36
=>r= root over 36 = 6

in short...the radius is 6

You might be interested in

3 = –(–y + 6)<br> a. –9<br> b. –3<br> c. 3<br> d. 9

Vlad1618 [11]

3 = -(-y + 6)

First, simplify brackets. / Your problem should look like: 3 = y - 6
Second, add 6 to both sides. / Your problem should look like: 3 + 6 = y
Third, simplify 3 + 6 to 9. / Your problem should look like: 9 = y
Fourth, switch sides. / Your problem should look like: y = 9

The answer is D) 9.

7 0

4 years ago

Round 5.19424860514 tho the 6 decimal

emmasim [6.3K]

Answer:

It would be 5.1942486

Step-by-step explanation:

Becuase the 0 is after the 6 the 6 stays as it is and there is no need to round up or down

4 0

3 years ago

Read 2 more answers

If Chloe is 22 her sister Bethany is 23 but there mum is 21 how are they her children

gayaneshka [121]

Answer:

Step-by-step explanation:

I think it three sometimes it's a trick question

so its not number one or 2 because how are they her children so the answer is 3

3 0

2 years ago

Whats the normal arm span for these heights? : 4'10,4'11,5'0,5'4,5'5,5,'7,5'8,5'9,5'10,5'11,6'0

Svetllana [295]

In adults, the arm span is approximately 5 cm greater than the height in adult males and 1.2 cm in adult females. To calculate the arm span for the heights given, we add 5cm to their height. The following are the results:

Height Arm Span Length (in cm)

4’10 152.32

4’11 154.86

5’0 157.4

5’4 167.56

5’5 170.10

5’7 175.18

5’8 177.72

5’9 180.26

5’10 182.80

5’11 185.34

6’0 187.88

To add, the total measurement of the length from the furthermost part of an individual's arms to the other end when raised equidistant to the ground at shoulder height at a 90º angle is called the arm span or wingspan.

7 0

3 years ago

The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A

Aloiza [94]

Answer:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

$\mu=37$ and $\sigma=28$ and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want to find this probability:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

4 0

3 years ago