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dangina [55]
3 years ago
14

1. The table shows the distances, in meters, that each player in a game tossed a ball, and the total number of earned points eac

h player made for those tosses.
Distance (m) 6.5 6 5 8.5 2 5.5 6.5 8 3 6 4.5 6
Total earned points 15 15 22 21 9 8 14 14 19 27 14 16

(a) Create a scatter plot of the data set. Use the distance for the input variable and the total earned points for the output variable.
(b) Are there any clusters or outliers in the data set? If so, identify them.

Mathematics
1 answer:
Llana [10]3 years ago
7 0
Check the attached file for the scatter plot in part a

for part b, these are the answers:


The Cluster Number are (6.5,15) (6,15) (6.5,14) (8,14) (4.5,16) (6,16)

The Outliers Are (5,22) (8.5,22) (2,9) (5.5,8) (3,19) (6,27)

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Answer:  The correct option is (D) SET 4.

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To form a right-angled triangle, we must have the following relation:

<em>Perpendicular² + Base² = Hypotenuse².</em>

<em>Hypotenuse is the length of the largest side; perpendicular and base are the two legs of the triangle.</em>

SET 1 :  14 cm, 5 cm, 6 cm.  

We have

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Therefore,

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SET 2 :  8 in., 12 in., 20 in.  

We have

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Therefore,

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SET 3 :  10 mm, 20 mm, 30 mm.  

We have

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Therefore,

<em>Perpendicular² + Base² ≠ Hypotenuse².</em>

So, this set will not form a right-angled triangle.

SET 4 :  12 ft, 16 ft, 20 ft.  

We have

12^2+16^2=144+256=400,\\\\20^2=400.

Therefore,

<em>Perpendicular² + Base² = Hypotenuse².</em>

So, this set will form a right-angled triangle.

Thus, the SET 4 will form a right-angles triangle.

Option (D) is correct.

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