The mean and the median of the following four data are equal:
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Answer:
Step-by-step explanation:
step 1
we have the points
(-1,0), (-2,0), and (0,2)
Plot the points
using a graphing tool
see the attached figure
The graph of a quadratic function must be a vertical parabola open upward
The vertex is a minimum
The quadratic function in general form is equal to
Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c
(0,2)
For x=0, y=2
substitute
(-1,0)
For x=-1, y=0
substitute
---->
----> equation A
(-2,0)
For x=-2, y=0
substitute
----> equation B
we have the system
----> equation A
----> equation B
substitute equation A in equation B
solve for b
Find the value of a
therefore
The quadratic function in general form is equal to
see the attached figure N 2 to better understand the problem
Among 180 people 27 are managers, 100 are floor assistants and the rest are helpers. Under the rest we mean 180-27-100=53 people.
The event "randomly selected employee is not a floor assistant" is the same as "randomly selected employee is manager or helper". You can count that in total 27+53=80 people form the set of managers and helpers.
Then the probability that randomly selected employee is not a floor assistant is
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