PLEASE HELP AND EXPLAIN! (3 different problems)
1 answer:
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Answer:
x = 9
Step-by-step explanation:
A line segment parallel to a side of a triangle and intersecting the other 2 sides divides the 2 sides in proportion, that is
=
=
( cross- multiply )
8(3x - 20) = 56
24x - 160 = 56 ( add 160 to both sides )
24x = 216 ( divide both sides by 24 )
x = 9
Given:
Consider the file sizes (in megabytes) for 18 randomly selected files on Gabriel's mp3 player are shown in the below figure.
To find:
The outliers in the distribution.
Solution:
We have, the given data set
2.4, 2.7, 1.6 , 1.3 , 6.2, 1.3, 5.6, 1.1, 2.2, 1.9, 2.1, 4.4, 4.7, 3.0, 1.9, 2.5, 7.5, 5.0
Arrange the data in ascending order.
1.1, 1.3, 1.3, 1.6, 1.9, 1.9, 2.1, 2.2, 2.4, 2.5, 2.7, 3.0, 4.4, 4.7, 5.0, 5.6, 6.2, 7.5,
Divide the data in 4 equal parts.
(1.1, 1.3, 1.3, 1.6), 1.9, (1.9, 2.1, 2.2, 2.4),( 2.5, 2.7, 3.0, 4.4), 4.7, (5.0,5.6, 6.2, 7.5)
It is clear that,
Now,
All the data values lies in the interval [-2.3,8.9]. Therefore, the given data set have no outliers.
