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2 years ago

If the radius of a circle is 11, what is the area and circumference? Thanks :)

Mathematics

2 answers:

kogti [31]2 years ago

8 0

The area is 380.13 , the circumference is 69.12

belka [17]2 years ago

5 0

Answer:

circumference is 69.12

area is 380.13

Step-by-step explanation:

i hope this is correct

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Solve the following:

RideAnS [48]

The answer you are looking for is 1&1/3

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2 years ago

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A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

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

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

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

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

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

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

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

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

8 0

2 years ago

Suppose that 2 people exercising in an enclosed room are each generating about 2.400 BTUs of body heat per

noname [10]

Answer:

0.002 BTUs per cubic foot heat is produced per hour

Step-by-step explanation:

Given:

Number of person = 2

Amount of heat produced by one person = 2.400 BTU

Dimension of the room = 20 ft x 12 ft x 10 ft

To Find:

How many BTUs per cubic foot do they produce in 1 hour = ?

Solution:

E = $\frac{ \text{(2400 Btu/ person hr}) (\text{Number of Hours}) (\text{Number of persons }) }{\text {volume of the room}}$

Substituting the values

E = $\frac{ \text{(2400 Btu/ person hr}) (1) ( 2) }{20 ft \times 12 ft \times 10 ft}$

E = $\frac{4.800}{2400}$

E = 0.002 BTU per cubic feet

7 0

2 years ago

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Please help I need this done quickly with the work

myrzilka [38]

Answer:

8x - 7.

Step-by-step explanation:

f(x) = 2x - 5,

g(x) = 4x -1,

substituting g(x) as x in f(x),

f(g(x)) = 2(4x - 1) - 5

= 8x - 7

4 0

2 years ago

A square is cut out of a copper sheet. Two straight scratches on the surface of the square intersect forming an angle. The squar

ArbitrLikvidat [17]

Answer:

(c) Stay the same

Step-by-step explanation:

Final angle will be same as initial angle. But length of lines will increase in both direction proportionally.

However any normal curve(closed or open ) will remain proportional to initial one. It is like a Zooming or magnifying of object.

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2 years ago