Answer: |p-72% |≤ 4%
Step-by-step explanation:
Let p be the population proportion.
The absolute inequality about p using an absolute value inequality.:
, where E = margin of error,
= sample proportion
Given: A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .
|p-72% |≤ 4%
⇒ 72% - 4% ≤ p ≤ 72% +4%
⇒ 68% ≤ p ≤ 76%.
i.e. p is most likely to be between 68% and 76% (.
Answer:
Last option:
Step-by-step explanation:
If the shell of a bass drum was cut down one side and laid flat, the resulting shape would be a rectangle.
The area of a rectangle can be calculated with the formula:
Where l is the lenght and w is the width.
In this case, the lenght of the rectangle obtained (the lenght of the shell) is the circumference of the drum.
Remember that the circumference of the circle can be calculated with:
Where r is the radius of the circle.
Then:
The width is the height of the shell:
Then, substituting into , you get: