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ale4655 [162]
3 years ago
5

A circle with radius of 4 cm sits inside a circle with radius of 11 cm.

Mathematics
2 answers:
kap26 [50]3 years ago
5 0

The area of the shaded region = 330 sq cm

Step-by-step explanation:

Given,

The radius of small circle (r) = 4 cm

The radius of large circle (R) = 11 cm

To find the shaded region

Formula

The area of circle of radius r = πr^{2} sq cm

So, The radius of the small circle = π×4^{2} sq cm = 16π sq cm

The radius of the large circle = π×11^{2} sq cm = 121π sq cm

Hence the area of the shaded region = 121π-16π sq cm

= 105π sq cm

= 105 × \frac{22}{7} sq cm = 330 sq cm

o-na [289]3 years ago
3 0

Answer: 329.7

Step-by-step explanation:

Area of circle = \pir^{2}

Area of circle with radius of 4 cm = 3.14 * 4 * 4 = 50.24

Area of circle with radius of 11 cm = 3.14 * 11 * 11 = 379.94

Their difference = 329.7

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A recent Gallup poll found that 36% of U.S. teens aged from 13 to 17 years old have a computer with [(6)] Internet access in the
In-s [12.5K]

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

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0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

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The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

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0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

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