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Nadya [2.5K]
2 years ago
9

1. There are 25 students who started computer programming in elementary school and 25 students who started computer programming

in middle school. The first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%.
The line plot shows the differences after 10 rerandomizations. Determine whether the difference in the means of the two groups is significant based on the line plot. Explain your answer.

Mathematics
1 answer:
guapka [62]2 years ago
4 0

the answer is attached below

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The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3
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When angle of elevation of the sun changes from 58° to 36° the length of shadow of a pole increases by 90 m.

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Kindly refer to the attached image.

\triangle ABC represents the 1st angle of elevation of sun i.e.  58°

\triangle ABD represents the 2nd angle of elevation of sun i.e.  36°

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Let height of pole, AB = h m

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tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan58^\circ=\dfrac{AB}{BC}\\\Rightarrow tan58^\circ=\dfrac{h}{x}\\\Rightarrow x = 0.624h ..... (1)

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Putting value of x using equation (1):

tan36^\circ = \dfrac{h}{0.624h+90}\\\Rightarrow 0.726\times 0.624h+0.726\times 90 = h\\\Rightarrow h-0.453h =65.34\\\Rightarrow \bold{h = 119.45\ m}

119.45 m is the height of pole.

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