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user100 [1]
3 years ago
8

Calculate the area of a circle with a diameter of 12 cm​

Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

we know its diameter is 12, thus its radius must be half that, or 6.

\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies A=\pi 6^2\implies A=36\pi \implies A\approx 113.097

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20 is what percent of 52
Maslowich
The process here is finding out the smallest number's % towards the largest number.

Divide 20 by 52:
20/52 = 0.38 (estimated) | This is the % in decimal form, which is 38%.

Conclusion: 20 is 38% of 52.

{---Further Elaboration for Future Reference---}

Finding the Smallest Number:

What number is 25% of 60?

Multiply 60 by the decimal form of 25%.
60 * 0.25 = 15 | 15 is 25% of 60.

Finding the Percentage. (Like what we already did.)

30 is what percent of 150?

Divide 30 by 150.
30/150 = 0.2 | 30 is 20% of 150.

Finding the Largest Number.

12 is 30% of what number?

Divide 12 by the decimal form of 30%.
12/0.3 = 40 | 12 is 30% of 40.

I hope this helps, have a great rest of your day! ^ ^
| | Ghostgate | |
5 0
3 years ago
Read 2 more answers
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
marusya05 [52]

Answer:

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

\hat p =\frac{955-812}{955}= 0.150

0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131

0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169

And the 90% confidence interval would be given (0.131;0.169).

Step-by-step explanation:

We have the following info given:

n= 955 represent the sampel size slected

x = 812 number of students who read above the eighth grade level

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

\hat p =\frac{955-812}{955}= 0.150

The confidence interval for the proportion  would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 90% confidence interval the significance is \alpha=1-0.9=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution and we got.

z_{\alpha/2}=1.64

And replacing into the confidence interval formula we got:

0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131

0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169

And the 90% confidence interval would be given (0.131;0.169).

8 0
3 years ago
HELP ASAP 15 POINTS!!!<br> What is the solution to this equation?<br> 6(x-5)=4x+20
Andre45 [30]

Answer:

<h2><u><em>x = 25</em></u></h2>

Step-by-step explanation:

What is the solution to this equation?

6 * (x - 5) = 4x + 20

6x - 30 = 4x + 20

2x = 20 + 30

2x = 50

x = 50 : 2

x = 25

-------------------

check

6 * ( 25 - 5) = 4 * 25 + 20

6 * 20 = 100 + 20

120 = 120

the answer is good

3 0
2 years ago
Read 2 more answers
Asphere has a diameter of 20 ft What is its surface area?<br> The surface area of the sphere is?
Snowcat [4.5K]

Answer:

1256 ft²

Step-by-step explanation:

20 ÷ 2 = 10

4πr²

4 × 3.14 × 10²

4 × 3.14 × 100

4 × 314

1256

8 0
3 years ago
A waiter earns $128 for 6 hours
alekssr [168]

Answer:

$21.33

Step-by-step explanation:

If the waiter earns $128 for 6 hours, divide 128 by 6.

21.33...

8 0
3 years ago
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