<span>Each Interior Angle = <span>(<span>(Number of Sides -2) • 180 degrees<span>)<span> ÷ (Number of Sides)
Solving for number of sides
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<span>Each Interior Angle / 180 = <span>(N -2) <span>/ (N)
144 / 180 = (n-2) / n
144 * n = 180n -360
360 = 36 n
n = 10 the number of sides
Source:
http://www.1728.org/polygon.htm
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Answer:
z= 3.63
z for significance level = 0.05 is ± 1.645
Step-by-step explanation:
Here p = 42% = 0.42
n= 500
We formulate our null and alternative hypotheses as
H0: p= 0.42 against Ha : p> 0.42 One tailed test
From this we can find q which is equal to 1-p= 1-0.42 = 0.58
Taking p`= 0.5
Now using the z test
z= p`- p/ √p(1-p)/n
Putting the values
z= 0.5- 0.42/ √0.42*0.58/500
z= 0.5- 0.42/ 0.0220
z= 3.63
For one tailed test the value of z for significance level = 0.05 is ± 1.645
Since the calculated value does not fall in the critical region we reject our null hypothesis and accept the alternative hypothesis that more than 42% people owned cats.
The answer is -2,2 for this problem
4(8+1); Peter is adding one marker to each box so we add 1 to 8 first because of order of operations (PEMDAS). There are 9 markers in each of the four boxes, 9 x 4 is 36 markers total
