Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?
2 answers:
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Answer:
Option B
<em>The best point estimate of the proportion of people attending the game who believe that the concession stand should be closer to the stands is:</em>
<em>p = 0.72.</em>
Step-by-step explanation:
We want to estimate the proportion of people who feel that the stand should be closer to the stands.
We have a sample of 150 people, of which 108 think that the stand should be closer to the stands.
A point estimator for the proportion p is .
Where
Where n represents the size of the sample and represents the number of favorable cases.
We know that and
.
Then we can estimate p by the estimator
One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.
Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).
