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Dima020 [189]
3 years ago
15

The center circle on a soccer field has a radius of 9 yards. What is the area of the center circle? Use 3.14 for pie

Mathematics
1 answer:
mojhsa [17]3 years ago
3 0

Answer:

\boxed {\boxed {\sf 254.34 \ yd^2}}

Step-by-step explanation:

The area of a shape is the space occupied by the surface of an object. The area of a circle can be calculated using the following formula.

a= \pi r^2

The radius (r) of the center circle on the soccer field is 9 yards. We are asked to use 3.14 for pi.

  • r= 9 yd
  • π= 3.14

Substitute these values into the formula.

a= (3.14)(9 \ yd)^2

Solve the exponent.

  • (9 yd)² = 9 yd * 9 yd = 81 yd²

a= (3.14)(81 \ yd^2)

Multiply.

a= 254.34 \ yd^2

The area of the center circle on the soccer field is <u>254.34 square yards.</u>

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Answer:

Mean: 6

Median: 6

Range: 8

Step-by-step explanation:

Mean is found by adding up all the values in the set and dividing by the amount of numbers in the set (in this one there are 8) 2+3+4+5+7+8+9+10=48. 48 divided by 8 = 6.

Median is the number in the middle, when the numbers in the set are ordered from least to greatest. Since there are two middle numbers in this set we add them together and divide by 2. 5+7=12. 12 divided by 2 = 6.

Range is found by taking the largest number and subtracting the smallest number from it. 10-2=8.

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Step-by-step explanation:

Distribute 2 to all the terms inside parentheses.

2 (n^2 + 8n + 16)

2n^2 + 16n + 32

Hope this helped!

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A researcher was interested in utilities provided by city governments. The researcher randomly selected 20 counties from a list
DaniilM [7]

Answer:

1. The population of interest is all city goverments in the U.S.

5. The parameter of interest is the proportion of the city goverments in the U.S. that provide electricity to their residents.

Step-by-step explanation:

Hello!

Missing questions:

Which of the following is true? Select all that apply.

  1. The population of interest is all city governments in the U.S.
  2. The population of interest is the 192 cities.
  3. The population of interest is all city governments that provide utilities to their residents.
  4. The population of interest is 6.25%
  5. The parameter of interest is the proportion of the city governments in the U.S. that provide electricity to their residents.
  6. The parameter of interest is 6.25%
  7. The population of interest is the 20 counties.
  8. The parameter of interest is the list of all counties in the U.S.

The objective of this essay is to test utilities provided by city governments, for this a sample of 20 counties was taken then contacted each city of them counting how many of them provided utilities to their residents, finding out that 12 out of 192 cities (6.25%) provided electricity to their residents.

The study variable is:

X: Number of city governments that provide utilities (electricity) to their residents, in a sample of 192.

The population of the study is the city governments in the U.S.

And the parameter of interest is the population proportion of city governments in the U.S. that provide electricity to their residents.

I hope it helps!

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