Answer:
See Explanation
Step-by-step explanation:
Solving (a):
First, we categorize each data (to get their frequencies):
PI PI PI PI PI PI PI PI PI ---> Frequency: 9
S S S S S S S S---> Frequency: 8
V V V V V V V V V V V V V ---> Frequency: 13
PO PO PO---> Frequency: 3
B ---> Frequency: 1
C C ---> Frequency: 2
Total = 36.
The frequency table is as follows:

Solving (b): The relative frequency and percentage.
Relative frequency is calculated by dividing each frequency by the total frequency.
So, we have:





The percentage is calculated by multiplying the frequency by 100%.
So, we have:






Solving (c): Percentage that mentioned vegetables and fruits, poultry, or cheese?.
This is calculated as:



(d) See attachment for bar graph
Complete question is;
Given n objects are arranged in a row. A subset of these objects is called unfriendly, if no two of its elements are consecutive. Show that the number of unfriendly subsets of a k-element set is ( n−k+1 )
( k )
Answer:
I've been able to prove that the number of unfriendly subsets of a k-element set is;
( n−k+1 )
( k )
Step-by-step explanation:
I've attached the proof that the number of unfriendly subsets of a k-element set is;
( n−k+1 )
( k )
80% of quizzes + 20% of final = final grade
80% * 73 + 20% * x = 70
0.8 * 73 + 0.2x = 70
58.4 + 0.2x = 70
0.2x = 11.6
x = 58
You loser
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You're going to want to take the total, which is $353.00 and subtract the initial cost, which is $84.00, the number now should be $269. Using that total divide it by $68.00, there you should find your answer of about 4 hours. The precise answer is 3.99588235. But you would round that to 4 hours.