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Shtirlitz [24]
3 years ago
9

Each exterior angle of a regular polygon measures 60 degree how many sides does a polygon have ?

Mathematics
2 answers:
slega [8]3 years ago
8 0
The polygon has 6 sides.

The exterior angles of any polygon add up to 360 degrees total.
algol133 years ago
6 0
360/60=6
The polygon has 6 sides.
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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

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 level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that n = 533, \pi = \frac{351}{533} = 0.6585

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0
3 years ago
How many ways can nine trophies be arranged on a shelf​
irga5000 [103]

Answer:

it depends on the shelf

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP 30 POINTS <br> Prove that AM is perpendicular to BD
ch4aika [34]

Answer:

Step-by-step explanation:

AM is perpendicular to BD because they from a right angle and the definition of perpendicular is when two lines meet they form a right angle. AM goes straight down and BD form the horizontal line. These two lines form a right angle so AM is perpendicular to BD.  

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3 years ago
Find the area of the of just the trench
Effectus [21]

Answer:

0.5m^2

Step-by-step explanation:

3 1/2- 2 1/2 =1/2

3m-2m=1

1/2 × 1 = 0.5m^2

3 0
3 years ago
The radius of a cylindrical construction pipe is 1.5ft . If the pipe is 14ft long, what is its volume? Use the value 3.14 for π
Lady bird [3.3K]

Answer:

Volume of cylinder =989 ft cube

Step-by-step explanation:

<u>Volume of cylinder</u>

Volume V = πr²h

r - radius and h - height

It is given that,

The radius of a cylindrical construction pipe is 1.5ft and

Length of pipe = 14 ft

<u>To find volume of cylinder</u>

Volume V = πr²h

V = 3.14 x 1.5 x1.5 x 14 =989.1 ≈ 989 ft cube

5 0
3 years ago
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