A survey asked stamp collectors how many stamps they have in their collection the box plot summarizes the response between what
two numbers do the upper fourth of the responses fall
93 and 110
75 and 93
70 and 110
40 and 70
93 and 110
75 and 93
70 and 110
40 and 70
1 answer:
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Answer:
Step-by-step explanation:
step 1
<em>Find the equation of the first inequality</em>
Find the equation of the first solid line
we have the ordered pairs
(0,-2) and (2,0)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute the values
The equation in slope intercept form is equal to
we have
---> the y-intercept is given
substitute
Remember that
Everything to the left of the solid line is shaded
so
The inequality is
step 2
<em>Find the equation of the second inequality</em>
Find the equation of the second dashed line
we have the ordered pairs
(0,2) and (4,0)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute the values
The equation in slope intercept form is equal to
we have
---> the y-intercept is given
substitute
Remember that
Everything below and to the left of the line is shaded
so
The inequality is
Rewrite
Multiply by 2 both sides
therefore
The system of inequalities is
see the attached figure to better understand the problem
