The dot plot represents an order of varying shirt sizes. A number line going from 8 to 26. 0 dots are above 8. 1 dot is above 10
. 3 dots are above 12. 3 dots are above 14. 5 dots are above 16. 4 dots are above 18. 2 dots are above 20. 1 dot is above 22. 1 dot is above 24. 0 dots are above 26. Which histogram represents the same data?
2 answers:
Answer:
The histogram for the given data is shown below.
Step-by-step explanation:
In a dot plot, the dots above a point represent the frequency of that number.
From the given dot plot we can make a frequency table as shown below.
Number Frequency
8 0
10 1
12 3
14 3
16 5
18 4
20 2
22 1
24 1
26 0
In histogram, each bar above a number represents the frequency of that number.
The histogram for the given data is shown below.
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We have to find the" ratio of the area of sector ABC to the area of sector DBE".
Now,
the general formula for the area of sector is
Area of sector= 1/2 r²θ
where r is the radius and θ is the central angle in radian.
180°= π rad
1° = π/180 rad
For sector ABC, area= 1/2 (2r)²(β°)
= 1/2 *4r²*(π/180 β)
= 2r²(π/180 β)
For sector DBE, area= 1/2 (r)²(3β°)
= 1/2 *r²*3(π/180 β)
= 3/2 r²(π/180 β)
Now ratio,
Area of sector ABC/Area of sector DBE =
= 4/3