Answer: Perimeter = 72.67
Area = 363.3
Step-by-step explanation:
The given polygon is a pentagon. The apotherm is the perpendicular line from the midpoint of the Pentagon to the base of one of its sides.
The formula for determining the area of a regular polygon is expressed as
Area = a² × n × tan 180/n
Where n represents the number of sides of the polygon.
n = 5
Apotherm = 10
Therefore,
Area = 10² × 5 × tan(180/5)
Area = 500 × tan 36
Area = 363.3
The formula for determining the perimeter of a regular polygon is
P = 2 × area/apotherm
Perimeter = 2 × 363.3/10
Perimeter = 72.67
Answer:
(a) 
(b) 
(c) Fail to reject 
Step-by-step explanation:
Given
Solving (a): The test statistic
This is calculated as:
So, we have:
--- approximated
Solving (b): Range of p value
First, calculate the degree of freedom (df)
Using:
--- significance level
The p value at: is:
and the range is:
Solving (c): The conclusion
Compare the p value to the level of significance value
We have:
By comparison:
because:
<em>Hence, the conclusion is: fail to reject </em><em></em>
Let C(x) = -0.75x + 20,000 and R(x)= -1.50x then the profit function exists noted as P(x) = R(x) - C(x)
P(x) = -1.50x - (-0.75)x + 20,000
P(x) = -0.75x + 20000
Therefore, the profit function exists -0.75x + 20000.
<h3>How to find profit function?</h3>
The profit function can be estimated by subtracting the cost function from the revenue function. Let profit be expressed as P(x), the revenue as R(x), the cost as C(x), and x as the number of items traded. Then the profit function exists noted as P(x) = R(x) - C(x).
Given:
C(x) = -0.75x+20,000 and R(x)= -1.50x
P(x) = R(x) - C(x)
= -1.50x - (-0.75)x + 20,000
= -1.50x + 0.75x + 20,000
Apply rule -(-a) = a
= -1.5x + 0.75x + 20000
Add similar elements:
-1.5 x + 0.75x = -0.75x
P(x) = -0.75x + 20000
Therefore, the profit function exists -0.75x + 20000.
To learn more about profit function refer to:
brainly.com/question/16866047
#SPJ9
