Answer:

Step-by-step explanation:
Given
i.e. 10 people
Required
Probability of being next to each other
First, we calculate the total possible arrangements (without any restriction)


If the three are to be next to each other,
First, we arrange the three

Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)
The arrangement is:

So, the total arrangement, when they have to be next to one another is:


The probability is:


Expand




Express as percentage


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Answer: Obtuse Scalene Triangle
Explanation:
125 < 169 Sum of the squares of the smaller 2 sides < longest side squared
I hope this helped!
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- Zack Slocum
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Given:
n = 27, sample size
df = n-1 = 26, degrees of freedom
xb = 11.8, sample mean
s = 2.3, sample standard deviation.
Because population statistics are not known, we should use the Student's t-distribution.
At 99% confidence interval, the t-value = 2.779 (from tables).
The confidence interval is
11.8 +/- 2.779*(2.3/√(27)) = 11.8 +/- 1.23 = (10.57, 13.03)
Answer: (10.6, 13.0) to the nearest tenth
Answer: 12 claps per second
Step-by-step explanation: divide both by 60 and yield 12 times -1 second