Using supplementary angles, it is found that the measures of the angles are given as follows:
<h3>What are supplementary angles?</h3>
Supplementary angles are two angles whose sum is of 180º.
An interior angle is supplementary with it's exterior angle, hence:
m<a + 150º = 180º -> m<a = 30º.
The sum of the three interior angles of a triangle is of 180º, hence:
30º + m<b + 60º = 180º
90º + m<b = 180º
m<b = 90º.
More can be learned about supplementary angles at brainly.com/question/12919120
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Answer:
d. (0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
Given that;
Proportion p = 195/250 = 0.78
Number of samples n = 250
Confidence interval = 90%
z value(at 90% confidence) = 1.645
Substituting the values we have;
0.78 +/- 1.645√(0.78(1-0.78)/250)
0.78 +/- 1.645√(0.0006864)
0.78 +/- 1.645(0.026199236630)
0.78 +/- 0.043097744256
0.78 +/- 0.043
(0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
It is the same thing as the average you add everything up then you divide by the number of numbers you added together
