1. Which diagram(s) show adjacent angles?
1 answer:
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The margin of error given the proportion can be found using the formula
Where
is the z-score of the confidence level
is the sample proportion
is the sample size
We have
Plugging these values into the formula, we have:
The result 0.14 as percentage is 14%
Margin error is 38% ⁺/₋ 14%
Where
We have
Plugging these values into the formula, we have:
The result 0.14 as percentage is 14%
Margin error is 38% ⁺/₋ 14%
A dilated shape will either be enlarged or compressed.
<em>Allen did not make any mistake, and the scale factor is 3.</em>
The dimension of the smaller rectangle (figure Z) is:
3 units by 4 units
The corresponding dimension of the bigger rectangle (figure Z') is:
9 units by 12 units
The scale factor (k) is calculated by dividing the dimensions of Z' by Z.
So, we have:
or
Notice that both values of k are the same (i.e. 3)
This means that the scale factor is 3
Also figure Z and Z' share the same center of origin at point X
This means that the center of dilation from Z to Z' is X
Hence,
Allen made no mistake, and she is correct about the scale factor.
Read more about dilations at: