The appropriate method to use in solving the given question is permutation. Then, the numbers of ways to arrange the buttons is 1320 ways.
In the given question, the order of arrangement is important, so that the number of ways that Fiona could order the buttons can be determined by permutation method.
i.e 
= 
Red 6
Green 3
Yellow 3
Total 12
Since no two neighbouring buttons of the same colour is allowed, then 3 buttons would be arranged at a time.
Thus, n = 12 and r = 3;

= 
= 
= 
= 12 x 11 x 10

= 1320
Therefore the buttons can be arranged in 1320 ways without two neighbors having the same colour.
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Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ±
= ± 2
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² =
( take the square root of both sides )
x = ±
= ± 
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± 
We are going to assume that the spinner has 11 parts.
Answer:
Probability of success = 18.17%
Probability of failure = 81.83%
Step-by-step explanation:
Please kindly check the attached file for explanation.
Answer:
I think you divide. So 2.53 divided by 5.48 or the other way around or something. I don't know for sure. Sorry. I think the 23.7 ounce is better though.
Step-by-step explanation:
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