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fenix001 [56]
2 years ago
15

Find the measure of each interior angle and each exterior angle of the indicated regular polygon. 25-gon

Mathematics
2 answers:
Katena32 [7]2 years ago
6 0

Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.

Molodets [167]2 years ago
3 0
The exterior angles add to 360
25x = 360
x = 360 / 25 = 14.4 degrees
Interior angle = 180 - 14.4 = 165.6 degrees

You could find the interior angles first
Sum interior angles = 180(n - 2)
Each interior angle = 180 x (25 - 2) / 25 = 165.6 degrees
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There is a discount of sale of 20% off of a $450 pair of skis how much is the discount ?
g100num [7]

Answer:

360

Step-by-step explanation:

5 0
3 years ago
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Using a property of operations, what can you say about the sums of (-13.2) 8.1 and 13.2 (-8.1)
artcher [175]
No matter where the negative sign is, the product will always be negative, so is the number itself.

13.2(-8.1)=-106.92

twice of that would be -213.84.

first do the multiplying, then the adding(the adding of negative numbers, so it would be basically subtracting).
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3 years ago
sally has a part time job mowing lawns so she can save money for a new car. she charges $5 per hour define the independent and d
KengaRu [80]

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes <em>depends</em><em> </em><em>on</em> the amount of time she works.

8 0
2 years ago
A random sample of 5120 permanent dwellings on an entire reservation showed that 1627 were traditional hogans.
krek1111 [17]

Answer:

a) \hat p=\frac{1627}{5120}=0.3178

b)The 99% confidence interval would be given by (0.301;0.355)

Step-by-step explanation:

1) Notation and definitions

X=1627 number of permanent dwellings on the entire reservation that are traditional hogans.

n=5120 random sample taken

\hat p=\frac{1627}{5120}=0.318 estimated proportion of permanent dwellings on the entire reservation that are traditional hogans.

p true population proportion of permanent dwellings on the entire reservation that are traditional hogans.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

Part a

The point of estimate for p=the proportion of all permanent dwellings on the entire reservation that are traditional hogans is given by:

\hat p=\frac{1627}{5120}=0.3178

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.318 - 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.301

0.318 + 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.335

The 99% confidence interval would be given by (0.301;0.355)

8 0
3 years ago
A club swimming pool is 21 ft wide and 33 ft long. the club members want an exposed aggregate border in a strip of uniform width
vovangra [49]
First compute the perimeter of the pool:
(21+33)*2=108 foot. 
Since the material cover 232 ft^2, then it is sufficient to divide the above number over the length of the border like this:
232/108=2.1

The trip can be 2.1 ft in wide. 
5 0
3 years ago
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