The mean absolute deviation (MAD), refers to the mean of the data's absolute deviations around the data's mean.
The MAD implies that Evelyn scores are more spread out than Robin scores.
The given parameters:
- <em>Robin scores = 99, 108, 102, 107 119</em>
- <em>Mean of Robin score, = 107</em>
- <em>Mean absolute deviation = 5.2</em>
- <em>Evelyn scores = 125, 137, 138, 145</em>
- <em>Mean of Evelyn score = 5.6</em>
The mean absolute deviation (MAD), refers to the mean of the data's absolute deviations around the data's mean. It implies the absolute distance from the mean of the data set.
The absolute distance of Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.
Thus, we can conclude that Evelyn scores are more spread out than Robin scores.
Learn more about mean absolute deviation here: brainly.com/question/17381861
Answer:
D
Step-by-step explanation:
Height: h
Length: 2h + 15
Area = length × width
4h² + 42h + 90
2(2h² + 21h + 45)
2[2h² + 15h + 6h + 45]
2[h(2h + 15) + 3(2h + 15)]
2(h + 3)(2h + 15)
Width = 2(h+3) = 2h + 6
Length: 2h + 15
Difference:
(2h + 15) - (2h + 6)
2h + 15 - 2h - 6
9
Width is 9 feet shorter than the length
Answer:
FIRST ONE
Step-by-step explanation:
Given:
The equation of a circle is

A tangent line l to the circle touches the circle at point P(1,3).
To find:
The equation of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is

Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is



We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.



The slope of line l is
and it passs through the point P(1,3). So, the equation of line l is



Adding 3 on both sides, we get



Therefore, the equation of line l is
.