The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.
2 answers:
Answer:
B will be at same place after all six rotations.
Step-by-step explanation:
If rotation maps to
Then [tex]R^6[tex] means six rotations .
The given B after one rotation will shift in place of A
After second rotation will shift in place of F
After third rotation will shift in place of E
After fourth rotation will shift in place of D
After fifth rotation will shift in place of C
After sixth rotation will shift in place of B itself.
Therefore, B will come back to same place after all the required rotations.
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Answer:
No. There is not enough evidence to support the claim that the population standard deviation is different from $12.
Step-by-step explanation:
The null hypothesis is that the true standard deviation is 12.
The alternative hypothesis is that the true standard deviation differs from 12.
We can state:
The significance level is 0.10.
The sample size is n=15, so the degrees of freedom are:
The sample standard deviation is 9.25.
The test statistic is
The critical values for rejecting the null hypothesis are:
As T=8.32 is within the acceptance region (5.01, 24.74), the null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the population standard deviation is different from $12.
Answer:
Distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.
Step-by-step explanation:
Let the distance from Mason's house to Chloe's house is x times as great as the distance from Mason's to Kevin's house.
Distance from Mason's house to Kevin's house= inches.
Distance from Mason's house to Chloe's house = inches
ATQ
So, distance from Mason's house to Chloe's house is 160 times as great as the distance from Mason's to Kevin's house.
Hence distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.