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Yakvenalex [24]
3 years ago
11

The sides of a square field are 12 meters.A sprinkler in the center of the field sprays a circular are with a diameter that corr

esponds to a side of the field.How much of the field is NOT reached by the sprinkler?
Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

Step-by-step explanation:

The formula for determining the area of a square is expressed as

Area = L²

Where

L represents length of each side of the square.

The side of the square is field us 12 meters long. Therefore

Area of the square field = 12² = 144ft²

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents radius if the circle.

π is a constant whose value is 3.14

Diameter of the circular area covered by the sprinkler is 12 meters.

Radius = 12/2 = 6 meters.

Area of the field covered by the sprinkler would be

Area = 3.14 × 6² = 113.04ft²

Therefore, the area of the field that is NOT reached by the sprinkler would be

144 - 113.04 = 30.96ft²

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musickatia [10]

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a) Mean = $1,595.83

b) Median = $1,675

c) Mode = $1,950

d) Midrange = $1,475

e)

- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and​ larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and​ larger and not all TV sets.

- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and​ larger, especially their variations from the mean.

Step-by-step explanation:

The data set for selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine.

1850   1950   1600   1950   1650   1000   1950   1400   1000   1700   1950   1150

a) Mean

The mean is the sum of all the variables in the distribution divided by the number of variables.

Mean = (Σx)/N = (1850+1950+1600+1950+1650+1000+1950+1400+1000+1700+1950+1150)/12

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b) Median

The median is the variable that falls at the middle of the distribution when all the variables are arranged in ascending or descending order.

Arranging this dataset

1000, 1000, 1150, 1400, 1600, 1650, 1700, 1850, 1950, 1950, 1950, 1950   

The numbers in the middle of this distribution include the sixth and seventh variables respectively, 1650 and 1700

Median = (1650+1700)/2 = $1,675

c) Mode

The mode is the variable with the highest frequency in the distribution. It is the variable that occurs the most in the distribution.

Evidently, the selling price with the highest frequency or the selling price that occurs the most in this distribution = $1950

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The midrange is given mathematically as

Midrange = [(Highest variable) + (lowest variable)] ÷ 2

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Lowest variable = 1000

Midrange = (1950+1000)/2 = $1475

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