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ununoctrium4414
19.12.2019 •
Mathematics
Suppose a vote was conducted in a small town of 5000 people. among a random sample of 100 votes, 55 were in favor of a proposition while 45 were against it. so the margin of victory of the proposition is estimated to be 10% = 55% − 45%. denote by p the percentage of the votes in favor of the proposition. (a) provide an estimate ˆp and construct a 95% confidence interval of p. (b) express the estimated margin of the victory in terms of ˆp. (c) calculate the standard error of the estimated margin of the victory from this vote and construct a 95% confidence interval.
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Ответ:
Angle 2: 90 degrees - It is a right angle
Angle 4: 36 degrees (explained above)
Angle 5: 90 degrees - It is a right angle. It is also an opposite angle to angle 2, and is therefore equal to it.
Since the two diagonal lines are parallel, the angles will relate to each other.
Angle 7: 126 - It will be 180 - angle 10 (because a straight line = 180)
Angle 8: 54 - It is opposite to angle 10, and is therefore equal
Angle 9: 126 - It will be 180 - angle 8 (because a straight line = 180). It is also an opposite angle 7, and is therefore equal
Angle 10: You already figured this one out! :)
Angle 11: 36 degrees - A triangle is 180, and angles 11, 5, and 8 all make up a triangle. Therefore, 180 - angle 5 - angle 8 = angle 11
Angle 12: 144 degrees - It will be 180 - angle 13 (because a straight line = 180).
Angle 13: 36 degrees - it is opposite to angle 11, and is therefore equal
Angle 14: 144 degrees - it is opposite to angle 12, and is therefore equal
I hope this helps!