Maggie claims that there are transformations that preserve the length of the rectangle's sides. Which of the following transform
ations could be used to support
Maggie's claim? Select all that apply.
Maggie's claim? Select all that apply.
1 answer:
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Answer:
First, we need to know how to calculate the area and the permiter of a rectangle.
To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.
Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:
Now we solve the equation:
As the negative result doesn't have sense, we only pick the second one: 1.
If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches
The confidence interval would be (0.122, 0.278).
We first find our z-score. We want a 95% confidence interval:
0.95/2 = 0.475
Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.
The formula we will use is:
In this problem, p = 20/100 = 0.2, and n=100:
We first find our z-score. We want a 95% confidence interval:
0.95/2 = 0.475
Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.
The formula we will use is:
In this problem, p = 20/100 = 0.2, and n=100: