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1 answer:
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Answer:
Let the complaints by Industry be CbI
CbI Frequency
Bank 26
Cable 44
Car 42
Cell 60
Collection 28
b) Percentages
CbI percentage (%)
Bank 13
Cable 22
Car 21
Cell 30
Collection 14
c) The industry with the highest number of complaints is the Cell Industry.
d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.
Step-by-step explanation:
a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.
b) The percentage for each industry is done in comparison to the the total amount of complaints received.
Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)
Total amount of complaints received = 200
For Bank industry,
Percentage = 100% × (26/200) = 13%
For the Cable Industry,
Percentage = 100% × (44/200) = 22%
For Car industry,
Percentage = 100% × (42/200) = 21%
For Cell industry,
Percentage = 100% × (60/200) = 30%
For Collection industry,
Percentage = 100% × (28/200) = 14%
c) The industry with the highest number of complaints is the one with the highest frequency and percentage, and that is the Cell Industry.
d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.
Answer:
11 music lessons.
Step-by-step explanation:
We know that membership costs $165 and members pay $25 per music lesson.
So, we can write the following expression:
The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.
We know that non-members pay no membership fee but their cost per lesson is $40. So:
Represents the cost for non-members for m music lessons.
We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:
And solve for m. Let's subtract 25m from both sides:
Now, divide both sides by 15:
So, at the 11th music lesson, members and non-members will pay the same.
Further Notes:
This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.
However, if a person would like to take 12 or more lessons, than the membership is best because the membership has a lower cost per lesson than the non-membership.
And we're done!