parallel lines, have the same exact slope, hmmm what is the slope of y = -2/3 x + 1/3 anyway? well, low and behold, the equation is already in slope-intercept form, therefore
has a slope of -2/3.
so we're really looking for a line whose slope is -2/3 and runs through 9,4.

Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2
The equation
x + y = 120
60% x + 85% y = 65% (x + y)
Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x
From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24
y = 4x
y = 96
The first type should be 24 pints, the second type should be 96 pints
<u>Answer-</u>
A 95% confidence interval for the true percent of movie goers is 36.41% to 44.25%
<u>Solution-</u>
Given,
n = 600 (sample size)
x = 252 (number of people who bought)
Confidence interval = 95%, so z = 1.96
We know that,

where,
M = sample mean
Z = Z statistic determined by confidence level
SE = standard error of mean
Calculating the values,

from the tables


Putting all the values in the formula,




