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Bunuel
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SkySoarer Airlines currently offers flights with service to a total of 19 Sep 2025, 06:35
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SkySoarer Airlines currently offers flights with service to a total of five cities: Abron, Bionia, Cordell, Dewark, and Epster. In the diagram, circles represent the five cities. Each line connecting two circles is a flight line that represents all the direct flights currently offered between the two corresponding cities, each of which is called a terminus for all flights represented by the line. Flights are offered in both directions for each flight line in the diagram, and all flights currently offered by SkySoarer are represented in the diagram. The label for each flight line shows the duration, in minutes, of each of the flights between the two cities the line connects, followed by the average annual revenue, in millions of dollars, generated by all SkySoarer flights between the two cities.

If a direct flight is not available between a passenger's departure city and destination city, SkySoarer passengers may take a sequence of flights to arrive at their destination. The total flight time for such a trip is the sum of the durations of all flights on the trip.

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Median of the implemented direct flight times: No Range of the implemented direct flight times: Yes Average (arithmetic mean) of the implemented direct flight times: No
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45% (03:16) correct 55% (03:08) wrong based on 489 sessions

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SkySoarer plans to add two new flight lines with service to a sixth city, Farno: a line with flights between Dewark and Farno with a flight time of 52 minutes and a line with flights between Epster and Farno with a flight time of 106 minutes. No other changes would be made to currently available lines. Based on the information provided, for each of the following quantities, select Yes if the quantity would change after the implementation of these new lines. Otherwise select No.
Yes No
Median of the implemented direct flight times
Range of the implemented direct flight times
Average (arithmetic mean) of the implemented direct flight times
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Median of the implemented direct flight times: No Range of the implemented direct flight times: Yes Average (arithmetic mean) of the implemented direct flight times: No

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SkySoarer wanted to implement a line that would make it possible to fly between each pair of serviced cities by taking only two flights.: No SkySoarer wanted to implement a line that would decrease the total flight time for a trip between Cordell and Dewark.: No SkySoarer wanted to implement the proposed flight line with the greatest projected annual revenue that has Epster as a terminus.: No
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SkySoarer has decided to implement flight line AE while making no other changes. For each of the following statements, select Yes if the statement would help explain this choice. Otherwise select No.
Yes No
SkySoarer wanted to implement a line that would make it possible to fly between each pair of serviced cities by taking only two flights.
SkySoarer wanted to implement a line that would decrease the total flight time for a trip between Cordell and Dewark.
SkySoarer wanted to implement the proposed flight line with the greatest projected annual revenue that has Epster as a terminus.
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SkySoarer wanted to implement a line that would make it possible to fly between each pair of serviced cities by taking only two flights.: No SkySoarer wanted to implement a line that would decrease the total flight time for a trip between Cordell and Dewark.: No SkySoarer wanted to implement the proposed flight line with the greatest projected annual revenue that has Epster as a terminus.: No

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Based on the information provided, what is the minimum number of the five proposed new flight lines that must be implemented to ensure that each city currently serviced by SkySoarer becomes a terminus for at least three flight lines?
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SkySoarer Airlines currently offers flights with service to a total of Updated on: 19 Sep 2025, 06:38
Originally posted by Bunuel on 19 Sep 2025, 06:38.
Last edited by Bunuel on 19 Sep 2025, 06:38, edited 1 time in total.
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Similar problem with different set of questions is here: SkySoarer Airlines currently offers flights with service to a total of.
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SkySoarer Airlines currently offers flights with service to a total of 19 Sep 2025, 08:47
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SkySoarer plans to add two new flight lines with service to a sixth city, Farno: a line with flights between Dewark and Farno with a flight time of 52 minutes and a line with flights between Epster and Farno with a flight time of 106 minutes. No other changes would be made to currently available lines. Based on the information provided, for each of the following quantities, select Yes if the quantity would change after the implementation of these new lines. Otherwise select No.

Current direct flight times: 57, 63, 78, 96, 101.

Median = 78,
Range = 101 - 57 = 44,
Mean = 395/5 = 79.

Add DF = 52 and EF = 106, so times become: 52, 57, 63, 78, 96, 101, 106.

• Median of the implemented direct flight times

New median = the 4th value = 78 (unchanged).

Median: No

• Range of the implemented direct flight times

New range = 106 - 52 = 54 (changed).

Range: Yes

• Average (arithmetic mean) of the implemented direct flight times

New mean = 553/7 = 79 (unchanged).

Average: No
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SkySoarer Airlines currently offers flights with service to a total of 19 Sep 2025, 08:51
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SkySoarer has decided to implement flight line AE while making no other changes. For each of the following statements, select Yes if the statement would help explain this choice. Otherwise select No.

• SkySoarer wanted to implement a line that would make it possible to fly between each pair of serviced cities by taking only two flights.

Adding AE helps some routes, but it does not cover every case. In particular, Dewark to Epster still requires three flights (for example, Dewark to Bionia to Abron to Epster). Since at least one route still needs more than two flights, this cannot be the reason. Answer: No.

• SkySoarer wanted to implement a line that would decrease the total flight time for a trip between Cordell and Dewark.

The best option remains Cordell to Bionia to Dewark, which totals 174 minutes. Adding AE does not create any shorter alternative for Cordell to Dewark. So the total time for that trip is unchanged. Answer: No.

• SkySoarer wanted to implement the proposed flight line with the greatest projected annual revenue that has Epster as a terminus.

Among Epster proposals, AE has 17.2, BE has 18.8, and DE has 29.1. AE is the lowest of these, not the highest. Therefore, this cannot explain the choice either. Answer: No.
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SkySoarer Airlines currently offers flights with service to a total of Updated on: 19 Sep 2025, 08:53
Originally posted by Bunuel on 19 Sep 2025, 08:53.
Last edited by Bunuel on 19 Sep 2025, 08:53, edited 1 time in total.
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Based on the information provided, what is the minimum number of the five proposed new flight lines that must be implemented to ensure that each city currently serviced by SkySoarer becomes a terminus for at least three flight lines?

Current degrees:

A = 2, B = 3, C = 3, D = 1, E = 1.

Targets are at least 3 for each city.

Deficits: A needs 1, D needs 2, E needs 2.

Each new line increases degrees at two cities by 1 each.

Two lines can add at most 4 total degree bumps, but we need 5, so two lines cannot suffice.

Three lines can work, for example DE, AD, AE gives A = 4, B = 3, C = 3, D = 3, E = 3.
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