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Nikitich [7]
3 years ago
11

the sum of the measures of the interior angels of a convex polygon is 3240 classify the polygon by the number of sides

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

20-gon

Step-by-step explanation:

First we start with the formula  to find what the sum of angles will be if we know the number of sides.  


S=(n-2)*180 where S is the sum of angles and n is the number of sides.


Normally you'd plug in n to find S, but you can do the opposite too.


3240=(n-2)*180


Let me know if you need help working it from here.  

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In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:
Radda [10]

Answer:

B (0.312, 0.364)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that n = 1289.

Of the respondents, 436 replied that America is doing about the right amount. This means that \pi = \frac{436}{1289} = 0.3382.

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. ​

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364

The 95% confidence interval is:

B (0.312, 0.364)

5 0
3 years ago
Rewrite using the distributive property: 24 + 16
viva [34]

Answer:8(3+2)

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6 0
2 years ago
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d1i1m1o1n [39]

Answer:

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Step-by-step explanation:

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divide 7 into -14

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Hope this helps!

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3 years ago
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