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2 years ago

A circular plate has circumferrence 30.8 inches. What is the area of this plate ? Use 3.14 for π.

Mathematics

1 answer:

erastova [34]2 years ago

8 0

Answer:

75.39 in^2

Step-by-step explanation:

circumference=2πr

30.8=2(3.14)r

30.8=6.28r

4.9=r

Now that we know the radius, we can plug it in for the area equation

area=πr^2

area=(3.14)(4.9)^2

area=(3.14)(24.01)

area=75.39 in^2

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The radius of a circle is 9 ft. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Veseljchak [2.6K]

Answer:

56.55 ft.

Step-by-step explanation:

Circumference

$2\pi r$

For this case:

r = 9

Thus:

$2\pi(9) = 56.5486...$

rounded to the nearest tenth we have

C = 56.55 ft.

5 0

3 years ago

For the function g(x)=2x−8/ 6x+6, evaluate g(2)

lianna [129]

Answer:

see it it is right

5 0

2 years ago

10.

Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

What is his error? O He placed the decimal point incorrectly when dividing. O He placed the decimal point incorrectly when multi

balu736 [363]

Answer:She placed the decimal point incorrectly when dividing. i took the test

5 0

3 years ago

Read 2 more answers

Please help, need to get this done quick!

Murljashka [212]

our X is 30 because 3x = 90 and if we divide that by 3 then we are left with 30, I knew it was equal to 90 degrees because of the little red box that symbolizes a 90 degree angle.

So now that we know X = 30 we can plug it in for (2x + 3y)

2(30) + 3y is equal to (60 + 3y) and if we equal that to the other side 3x and plug in for x on that side, we have a new equation of 90 = 60 + 3y so then from here we subtract 60 from both sides and are left with 30 = 3y and finally we divide 3

and our final answer is Y = 10 (((((((((((((((((((((((((((((:

4 0

2 years ago