For a 7 sides polygon which is called heptagon or septagon
Interior angles = (7-2)*180/7 = 128.57°
Exterior angle = 180 - 128.57 = 51.43°
Central angle = 360/7 = 51.43°
The statements which are correct:
<span>3. The regular polygon ABCDEFG can be broken down into 2 isosceles trapezoids and 1 isosceles triangle
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<span>5. The central angle of the polygon ABCDEFG is about 51.43° and each interior angle is about 128.57°
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<span>7. The central angle ABCDEFG is the same measure of the exterior angle
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I think it will be (6v-1) because its the opposite.
You have said that he used 180 in the first two weeks.
That left him with 200 at the end of the first two weeks.
Then you said that he had 2 left after another 2 weeks.
So during those 2 weeks, he used (200 - 2) = 198 in the 2nd 2 weeks.
What we all expected has not happened at all: Frank is not slowing down !
But, even so, we have to ask ourselves just what Frank is doing with them all.
Nobody can blame you for wondering.
Answer:
95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C
Step-by-step explanation:
The confidence interval for a proportion is given as [p +/- margin of error (E)]
p is sample proportion = 870/1,100 = 0.791
n is sample size = 1,100
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (z) at 5% significance level is 1.96.
E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024
Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767
Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815
95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.
