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% (.
We can use the distance formula to calculate perimeter: = Distance
From A to B: √232
From B to C: 10
From C to A: √52
10 + √232 + √52 = 10 + 2√58 + 2√13
Perimeter = 10 + 2√58 + 2√13 units
For Area we can use matrices, but since one of the sides is horizontal, we can just calculate with distance formula and area of triangle formula.
The area of a triangle formula is 1/2(h x b)
h=height
b=base
So the height is 6 and the base is 16. (I graphed it.)
16 * 6 = 96 96/2 = 48 Area: 48 square units.
The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.
<em />
Given that:
<u>Input and Output quantity</u>
The input quantity is the <em>percentage of frozen citrus crop</em>, while the output quantity is the <em>cost of box of oranges</em>
<u>Linear Function</u>
The given parameters can be written as:
Calculate the slope (m)
So, we have:
The equation is then calculated using:
So, we have:
So, the function is:
<u>The domain and the range</u>
The domain is the <em>possible input value (i.e. possible values of P).</em>
Because P is a percentage, its possible values are 0% to 100%.
Hence, the domain of the function is:
The range is the <em>possible output value (i.e. possible values of c).</em>
When P = 0% and 100%
Hence, the range of the function is:
<u>The meaning of </u><u />
is an inverse equation, where 12 represents the <em>cost of box of oranges.</em>
So, represents the percentage of frozen citrus crop, when the cost is $12.
<u>The inverse formula</u>
We have:
Make P the subject
Divide by 22.9
So, the inverse function is:
<em>This is used to calculate the percentage of frozen citrus crop, when the cost is known.</em>
<em />
Substitute 12 for c
Read more about linear equations at:
Answer and Explanation: The answer and explanation is in the image.
