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Sergeu [11.5K]
3 years ago
12

. (06.02)

Mathematics
1 answer:
lora16 [44]3 years ago
7 0
Answers:

1.) C - Final exams: midterm = Q3 92 - Q1 80 = 12 and finals = Q3 85 - Q1 78 = 7, so finals exam has the smaller IQR.

2.) B - exam median is much higher than the class median: refer to the attached image of class and exam box and whisker graph

3.) A - <span>IQR is a better measure of spread for movies than it is for basketball games: because the data for movies are quite wide or apart from each other than the data in the basketball games

4.) A - </span><span>mean for April is higher than October's mean: mean in April is 67 and mean in October is 60

5.) A - </span><span>Neither data set has suspected outliers: meaning there's no data that is further apart from the group or set

6.) B - </span>There is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical 
<span>
7.) C - </span>college spread is best described by the IQR. The high school spread is best described by the standard deviation: this is because of the wide range of data in the college than the data in the high school.

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The statue of Liberty stands on a 150 ft. pedestal. From a point 250 ft. from the base of the
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Answer:

148ft

Step-by-step explanation:

To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.

Assuming the height from the pedestal to the top of the torch is y

The height of the statue is x

But we know the height of the pedestal = 150ft

The distance from the observer to the base of the pedestal = 250ft

And the angle of elevation = 50°

See attached document for better illustration.

Tanθ = opposite / adjacent

θ = 50°

Adjacent = 250

Opposite = y

Tan50 = t / 250

y = 50 × tan50

y = 50 × tan50

y = 50 × 1.1917

y = 297.925ft

The height of the statue from the base of the pedestal to the top of the torch is 297.925ft

The height of the statue = x

x = (height of the statue + height of the pedestal) - height of the pedestal

x = y - 150

x = 297.925 - 150

x = 147.925ft

Approximately 148ft

The height of the statue is 148ft

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