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lyudmila [28]
3 years ago
15

The measure of each exterior angle of a regular polygon is 72 degrees. how many sides does the polygon have?

Mathematics
1 answer:
zaharov [31]3 years ago
6 0
If the measure of each exterior angle is 72, the measure of each interior angle is then 180-72=108
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
(n-2)*180=108*n
180n-360=108n
180n-108n=360
n=5
the polygon has 5 sides. 
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A lathe is set to cut bars of steel into lengths of 6 cm. The lathe is considered to be in perfect adjustment if the average len
Gnom [1K]

Answer:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

E. -0.723

df=n-1=93-1=92  

p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

Step-by-step explanation:

Information provided

\bar X=5.97 represent the sample mean for the length

s=0.4 represent the sample standard deviation

n=93 sample size  

\mu_o =6 represent the value that we want to test

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value for the test

System of hypothesis

We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:  

Null hypothesis:\mu = 6  

Alternative hypothesis:\mu \neq 6  

since we don't know the population deviation the statistic is:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing in formula (1) we got:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

E. -0.723

P value

The degrees of freedom are given by:

df=n-1=93-1=92  

Since is a two tailed test the p value would be:  

p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

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ki77a [65]

Answer:

ubstitute the value of the radius r = 8.0 cm height h = 12.0 cm into the formula to find the volume. Pi (π) is approximately equal to 3.14 .

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Raise 8 cm power of 2

π x 64.0 cm2 x 12 cm

Multiply 64.0 cm2 and 12 cm

π x 768.0 cm3

Combine π and 768.0 cm3

The result can be shown in multiple forms.

Exact Form

Volume = 768.0π cm3

∴ Volume of Cylinder radius 8 cm and height 12 cm is 768.0π cm3

Decimal Form

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Step-by-step explanation:

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Answer:

2 and 2 1/2

Step-by-step explanation:

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