I need all of these please help
2 answers:
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In order find the Inequalities, First we need to Find the Equations of Both the Lines.
<u>Equation of First line :</u>
It is passing through the Points (0 , 2) and (4 , 0)
⇒ Slope =
⇒ Equation of the First Line :
⇒ Equation of the First Line : x + 2y = 4
<u>Equation of Second Line :</u>
It is passing through the Points (1.5 , 0) and (0 , -3)
⇒ Slope =
⇒ Equation of the Second Line : y + 3 = 2x
⇒ Equation of the Second Line : 2x - y = 3
As the Shaded Area of the First Line is away from the Origin :
⇒ x + 2y ≥ 4
As the Shaded Area of the Second Line is towards the Origin and it is a Dotted line :
⇒ 2x - y < 3
So, the System of Linear Inequalities are :
⇒ x + 2y ≥ 4
⇒ 2x - y < 3
Part A:What percentage of the total students surveyed like both watching television and reading?
The total amount of student is 230
The amount of students that like to read and watch television is 80
As a fraction it is 80/230
Turn that to a percentage
It is:34.7826%
Part A=34.7826%
Part B:What is the probability that a student does not like watching television also does not like reading?
On the table it shows 20
So the probability is 20/230
Part B=20/230
The total amount of student is 230
The amount of students that like to read and watch television is 80
As a fraction it is 80/230
Turn that to a percentage
It is:34.7826%
Part A=34.7826%
Part B:What is the probability that a student does not like watching television also does not like reading?
On the table it shows 20
So the probability is 20/230
Part B=20/230