Answer:
59.9%
Step-by-step explanation:
100/30 = 3.3
3.3*18 = 59.9%
Answer:
111°
Step-by-step explanation:
Answer:
Systematic sampling
Step-by-step explanation:
Systematic sampling is a form of random sampling that involves sampling based on numbering the members of the population and selecting the sample at a given specified interval.
However, when the systematic sampling technique is used, it is necessary to ensure that the numbering of the population does not result in an ordering of the population such that the selected sample will consist more of a particular group of the population.
The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
I think the answer is <span>x=220</span>
