A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. The data list below shows what their favor
ite color patterns were, and the accompanying frequency table and bar graph represent these data. In the bar graph, the height of the blue gray bar is 4, the height of the green bar is 9, and so on. Suppose that rather than being just a bar graph, the display you see above is a relative frequency bar graph. The vertical axis of the graph will be marked off in percentages, from 0 percent up to 30 percent. What will be the height of the green bar? A. 18 B. 9 C. 25 D. 15
2 answers:
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Answer:
see explanation
Step-by-step explanation:
Using the cosine and tangent ratios in the right triangle
cos41° = =
=
Multiply both sides by VX
VX × cos41° = 7 ( divide both sides by cos41° )
VX = ≈ 9.3
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tan41° = =
=
Multiply both sides by 7
7 × tan41° = WX, thus
WX ≈ 6.1
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The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for ∠ X
∠ X = 180° - (90 + 41)° = 180° - 131° = 49°