8. The Last Supper
1 answer:
The number of possible seats is an illustration of permutation
There are 1728 possible sitting arrangements
<h3>How to determine the number of seats</h3>From the question, we have the following highlights:
- Chris can only take 1 seat (i.e. the central seat)
- Jo can take 2 seats (i.e. the seats adjacent the central seat)
- Alex, Barb and Dave can take 3! number of seats
- Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
- The remaining 4 adults do not have preference, then they can seat in 4! ways
So, the number of sitting arrangement is:
Evaluate the product
Hence, there are 1728 possible sitting arrangements
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Answer:
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 447 gram setting.
Mean =
n = 19
Since n < 30 , so we will use t test
Substitute the values :
t calculated = -0.830
degree of freedom = n-1 = 19-1 = 18
A level of significance=α=0.025
t critical = 2.093
t calculated < t critical
So, We failed to reject null hypothesis
Decision rule -0.830< 2.093 So, We failed to reject null hypothesis