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Anestetic [448]
3 years ago
14

The ages of the people in attendance at the showing of an award-winning foreign film are shown below.

Mathematics
2 answers:
guapka [62]3 years ago
5 0

Definition: A histogram visualises the distribution of data over a continuous interval or certain time period. Each bar in a histogram represents the tabulated frequency at each interval.

According to the given histogram,

0-20 years occur 15 times,

21-40 years occur 40 times,

41-60 years occur 40 times,

61-80 years occur 15 times.

This shows that the data is symmetrical and the majority of the attendees were between the ages of 21 and 60 (40 times).

Answer: correct choice is B.

Monica [59]3 years ago
3 0
B. The data is symmetrical, showing that the majority of the attendees were between the ages of 21 and 60.
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The data below represent the number of days absent per year in a population of three employees of a small company:
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The sampling distribution is illustrated below.

<h3>How to illustrate the sampling?</h3>

Based on the information given, the population is illustrated as 1, 4, 7. The sample without replacement will be:

<u>Sample Mean</u>

1 and 4. 2.5

1 and 7. 4

4 and 7. 5.5

The population mean will be:

= (1 + 4 + 7)/3

= 4

The sample mean is an unbiased estimator of the population mean.

The sampling with replacement illustrates that the mean will be:

= 36/9 = 4

Also, when n = 3, the number of samples will be:

= 3³ = 27

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2 years ago
There are 21 students in a classroom with 8
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There are able to sit 16 people
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3 years ago
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Problem: A piece of farmland is a watering plot of land in a circular pattern. A sewer line needs to be installed from a new hou
Musya8 [376]

The entry and exit points of (2, 3), and (12, 6), and 200 ft. extension of the sprinkler system gives;

(1) The sewer line crosses the farmland at (6.53, 4.36), and (8.48, 4.9)

(2) The longest installable sprinkler system is approximately 172.4 feet

<h3>How can the points where the line crosses the farmland be found?</h3>

1. The slope of the sewer line is found as follows;

  • m = (6 - 3)/(12 - 2) = 3/10 = 0.3

The equation of the sewer line can be expressed in point and slope form as follows;

  • (y - 3) = 0.3×(x - 2)

y = 0.3•x - 0.6 + 3

y = 0.3•x + 2.4

The equation of the circumference of the sprinkler can be expressed as follows;

  • (x - 8)² + (y - 3)² = 2²

Therefore;

(x - 8)² + (0.3•x + 2.4 - 3)² = 2²

Solving gives;

x= 6.53, or x = 8.48

y = 0.3×6.53 + 2.4 = 4.36

y = 0.3×8.48 + 2.4 = 4.9

Therefore;

  • The sewer line crosses the farmland at (6.53, 4.36), and (8.48, 4.9)

2. When the farmland does not cross the sewer line, we have;

sewer line is tangent to circumference of farmland

Slope of radial line from center of the land is therefore;

m1 = -1/0.3

Equation of the radial line to the point the sewer line is tangent to the circumference is therefore;

y - 3 = (-1/0.3)×(x - 8)

Which gives;

y = (-1/0.3)×(x - 8) + 3

The x-coordinate is therefore;

0.3•x + 2.4 = (-1/0.3)×(x - 8) + 3

  • x ≈ 7.5

  • y = 0.3 × 7.5 + 2.4 ≈ 4.65

The longest sprinkler system is therefore;

d = √((7.5 - 8)² + (4.65 - 3)²) ≈ 1.724

Which gives;

  • The longest sprinkler system is 1.724 × 100 ft. ≈ 172.4 ft.

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3 0
2 years ago
which of the following statements about perpendicular lines is true? a. perpendicular lines have a constant distance between the
Flauer [41]
B is the right answer
7 0
3 years ago
What is 21000 rounded to the nearest ten thousand
denpristay [2]
A number rounded to the nearest 10000, means that the last four digits of that number (on the left of the decimal point) are 0.  
<span>However, if the fourth-last digit to the left of the decimal point is 5 or greater, the number to the left of that is rounded to 1 number higher.  For example, if you were rounding 145293 to the nearest 10000, it would be 150000. 

However, the </span>fourth-last digit to the left of the decimal point in this case is 1.  
Therefore, <span> 21000 rounded to the nearest 10000 is 20000. 

</span>
4 0
3 years ago
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