Alex believes the honor roll students at his school have an unfair advantage in being assigned to the science class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the science class you requested?" The results are shown in the table below:

Honor roll Not on honor roll Total
Received science class requested 64 315 379
Did not get science class requested 80 41 121
Total 144 356 500

Help Alex determine if all students at his school have an equal opportunity to get into the science class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

-The Honor Roll students would have a disadvantage to Non-Honor Roll students.

Step-by-step explanation:

-The first thing that needs to be done is to compare the probabilities of getting a class that is requested whether a student is in the Honor Roll or not.  

P(received class requested; Honor Roll) is 64/144 = 0.444 or about 44%  

P(received class requested; Not Honor Roll) is 315/356 = 0.884 or about 88%  

-This shows us that students who aren't in Honor Roll have a higher chance of receiving the class requested than those who are.

(Btw I took the test)

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation: