What are the actions that you can choose from?
0.5 cups of cheese
Amy: 1.6 divided by 8 = 0.2 cups of cheese per serving
Sarah: 2.5 divided by 10 = 0.25 cups of cheese per serving
0.25 - 0.2 = 0.5
Two parallel lines have the same slope.
the slope of the given line is: -2y=-3x+12
y=3/2x -6
so the slope is 3/2
the new line passes (0,0), so the equation is simply:
Answer:
Step-by-step explanation:
Mean = np
Where
n = number of students
p = probability of success
n = 200
p = 118/200 = 0.59
mean = 200 × 0.59 = 118
Standard deviation, s = √npq
q = 1 - p = 1 - 0.59
q = 0.41
s = √(200 × 0.59 × 0.41)
s = √48.38 = 6.956
For a confidence level of 99%, the corresponding z value is 2.58. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
118 ± 2.58 × 6.956/√200
= 118 ± 2.58 × 0.492
= 118 ± 1.2694
The lower end of the confidence interval is 118 - 1.2694 = 116.7306
The upper end of the confidence interval is 118 + 1.2694 = 119.2694