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tankabanditka [31]
2 years ago
7

A circular plate has circumference 32.7 inches. What is the area of this​ plate? Use 3.14 for pie.

Mathematics
1 answer:
sveta [45]2 years ago
6 0

Answer: 85.13

Step-by-step explanation:

We know:

Circumference = 2*3.14r

Area of a circle = 3.14r²

We need to find the radius given the circumference before solving for the area:

32.7 = 2*3.14r

32.7/6.28 = 6.28r/6.28

r = 5.20700637

Now that we know the radius, we can plug it in to find the area:

A = 3.14(5.20700637)²

A = 3.14(27.1129153)

A = 85.134554

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The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 12 B, and 48 C. Show th
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Answer:

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

Step-by-step explanation:

Given that;

the frequencies of there alternatives are;

Frequency A = 60

Frequency B = 12

Frequency C = 48

Total = 60 + 12 + 48 = 120

Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;

Relative Frequency A = Frequency A / total = 60 / 120 = 0.5

Relative Frequency B = Frequency B / total = 12 / 120 = 0.1

Relative Frequency C = Frequency C / total = 48 / 120 = 0.4

therefore;

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

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