Answer:
Hypotenuse = 85 cm
Hypotenuse = 89 cm
Hypotenuse = 103.08 cm (Approx.)
Hypotenuse = 54.71 cm (Approx.)
Step-by-step explanation:
Shape 1
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √36² + 77²
Hypotenuse = √1,296 + 5,929
Hypotenuse = √7,225
Hypotenuse = 85 cm
Shape 2
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √39² + 80²
Hypotenuse = √1,521 + 6,400
Hypotenuse = √7,921
Hypotenuse = 89 cm
Shape 3
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √25² + 100²
Hypotenuse = √625 + 10,000
Hypotenuse = √10,625
Hypotenuse = 103.08 cm (Approx.)
Shape 4
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √17² + 52²
Hypotenuse = √289 + 2,704
Hypotenuse = √2,993
Hypotenuse = 54.71 cm (Approx.)
6.68% of the students scored at least 19 points on this test while the 85 percentile has a test score of 24.08 points
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
P(x > 19) = P(z > 1.5) = 1 - P(z < 1.5) = 1 - 0.9332 = 0.0668
6.68% of the students scored at least 19 points on this test
b) 85 percentile corresponds to a z score of 1.04
The 85 percentile has a test score of 24.08
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