Mean = sum of values / number of values
74 = x/32
2368 = x
70 = y/19
1330 = y
mean for female students = (2368 - 1330)/(32-19) = 79.85
Answer:
(1,-5)
Step-by-step explanation:
The given system of inequalities are;
and
The point that is a solution will satisfy the two inequalities.
Checking for (1,-5)
and 
: True 
: True
This point lies in the solution region.
Checking for (1,5)
and 
: False 
: False
This point does not lie in the solution region.
Checking for (5,1)
and 
: False 
: True
This point does not lie in the solution region.
Checking for (-1,5)
and 
: True 
: False
This point does not lie in the solution region.
Simplifying
x + 0.7 = 1 + -0.2x
Reorder the terms:
0.7 + x = 1 + -0.2x
Solving
0.7 + x = 1 + -0.2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.2x' to each side of the equation.
0.7 + x + 0.2x = 1 + -0.2x + 0.2x
Combine like terms: x + 0.2x = 1.2x
0.7 + 1.2x = 1 + -0.2x + 0.2x
Combine like terms: -0.2x + 0.2x = 0.0
0.7 + 1.2x = 1 + 0.0
0.7 + 1.2x = 1
Add '-0.7' to each side of the equation.
0.7 + -0.7 + 1.2x = 1 + -0.7
Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 1.2x = 1 + -0.7
1.2x = 1 + -0.7
Combine like terms: 1 + -0.7 = 0.3
1.2x = 0.3
Divide each side by '1.2'.
x = 0.25
Simplifying
x = 0.25
I only know 1 way.
