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Mariulka [41]
3 years ago
6

How many sides of a polygon have if the sum of the measures of its angle is 2880?

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0
Using the sum of interior angles formula; 

(n-2)×180=sum
(n-2)×180=2880 
n-2=2880/180 
n-2=16 
n=16+2 
n=18 

Therefore, this polygon would have 18 sides. 

Hope I helped :) 
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Explanation:

The function is y>-\frac{1}{3} x+5

To graph the function, let us find the x and y intercepts.

To find x-intercept, let us substitute y=0 in the function y>-\frac{1}{3} x+5

\begin{aligned}0 &=-\frac{1}{3} x+5 \\-5 &=-\frac{1}{3} x \\x &=15\end{aligned}

Thus, the x-intercept is (15,0)

To find the y-intercept, let us substitute x=0, we get,

\begin{aligned}&y=-\frac{1}{3}(0)+5\\&y=5\end{aligned}

Thus, the y-intercept is (0,5)

The graph has no asymptotes.

To plot the points in the graph, we need to substitute the values for x in the function y>-\frac{1}{3} x+5, to find the y-values.

The points are (-2,5.667),(-1,5.333),(1,4.667),(2,4.333),(3,4). The image of the graph and table is attached below:

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The value of alpha is 0.26, assuming a confidence level of 74%.

<h3>What is the margin of error?</h3>

The significance level α is the probability of making the wrong decision when the null hypothesis is true.

Alpha levels which is also called as significance levels are used in hypothesis tests.

Given

When finding the margin of error for the mean of a normally distributed population from a sample.

The confidence interval = 74% = 0.74.

The value of the alpha is given by;

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Substitute all the values in the formula

\rm \alpha =1- Confidence \ interval\\\\\alpha=1-0.74\\\\\alpha=0.26

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