Central angle of a regular polygon:
Ф = 360° : n.
If n=12: Ф = 360° : 12 = 30°
At the angle of rotation Ф = 30° the image of the polygon will coincide with the preimage.
Answer:
D) Ashley and Allan live about the same distance from the school
Step-by-step explanation:
1 m = 3.3 ft . . . . . . given
2000 m = 6600 ft . . . . . multiply the above equation by 2000
Since 6600 ft is about the same as 6000 ft, the appropriate choice is D.
Francisco <span>has simplified to the quantity of x to the one half power, over x to the three eighteenth power.
(x^1/2) / (x^3/18)
x^(1/2-3/18)
x^1/3
Ryan has simplified to the twenty seventh root of the quantity of x to the second times x to the third times x to the fourth.
</span>²⁷√x²x³x⁴
²⁷√x⁹
(x)^9/27
x^1/3
Answer:
We need to conduct a hypothesis in order to check if the true mean is different from 45(alternative hypothesis), and then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we don't know the sample size we can't calculate the statistic and the only thing that we can do is create the sytem of hypothesis.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean is different from 45(alternative hypothesis), and then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we don't know the sample size we can't calculate the statistic and the only thing that we can do is create the sytem of hypothesis.
