A composition of transformations maps ΔXYZ to ΔX"Y"Z". The first transformation for this composition is , and the second transfo
rmation is a 90° rotation about point X'.
2 answers:
Answer:
Reflection across the x-axis.
Step-by-step explanation:
There could be some possible transformations since there is not much information to restrict them. So the first step would be reflecting it across the origin. And the second one is rotating about the point X'.
1) Placing ΔXYZ X(1,1) Y(2,3) Z(3,1)
2) Reflecting across the x-axis ΔX'Y'Z': X'(1,-1) Y'(2,-3) Z'(3,-1)
3) Rotating 90º clockwise about X' that will result on ΔX''Y''Z'': X''(1,-1) Y''(-1,-2) Z''(1,-3)
Check the triangles below.
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Answer:
The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.
Step-by-step explanation:
We have to see if 50% = 0.5 is part of the confidence interval.
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.