Can someone please help me out
1 answer:
First, we have to figure out the angles on the interior of the triangles. Since the 90° angle and the angle next to it form a straight line, we know that they are supplementary and add up to 180°. We would then subtract 90° from 180° to find the value of that angle, which comes out to be 90°. Next, since the angle measuring 125° and the angle next to it are supplementary, we would repeat the same procedure: 180° - 125° = 55°. Now that we know the values of two of the interior angles of the triangle, we can solve for the third. The angles of a triangle should add up to 180°, so we can solve for <em>p</em> like this:
90 + 55 + <em>p</em> = 180
145 + <em>p</em> = 180
<em>p </em>= 180 - 145
<em>p</em> = 35
The value of <em>p</em> <em />is 35°.
90 + 55 + <em>p</em> = 180
145 + <em>p</em> = 180
<em>p </em>= 180 - 145
<em>p</em> = 35
The value of <em>p</em> <em />is 35°.
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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.