The correct option that shows the population of the research carried out by Matthew is;
<u><em>Option D; all the students attending the college</em></u>
<u><em></em></u>
- We are told that Matthew wants to estimate the mean height of students attending his college.
- Now, let us say the total number of students in his college is x. If he decides to select 100 students randomly to record their height, it means this 100 students is a sample out of the total number of students which is x that is the population.
In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.
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Answer:
108.36 ft2
Step-by-step explanation:
Use the facts we already know and plug them into the equation.
a=12.6(8.6)
If we multiply both factors, we get 108.36.
So, the rectangle is 108.36 ft2
Answer:
rational
Step-by-step explanation:
since 2.72135 is finite (has an ending), it can be written as a fraction, meaning it is rational.
Answer:
F = 3x +(2.7×10^7)/x
Step-by-step explanation:
The formulas for area and perimeter of a rectangle can be used to find the desired function.
<h3>Area</h3>
The area of the rectangle will be the product of its dimensions:
A = LW
Using the given values, we have ...
13.5×10^6 = xy
Solving for y gives ...
y = (13.5×10^6)/x
<h3>Perimeter</h3>
The perimeter of the rectangle is the sum of the side lengths:
P = 2(L+W) = 2(x+y)
<h3>Fence length</h3>
The total amount of fence required is the perimeter plus one more section that is x feet long.
F = 2(x +y) +x = 3x +2y
Substituting for y, we have a function of x:
F = 3x +(2.7×10^7)/x
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<em>Additional comment</em>
The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.