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TABLE 6 below shows the average daily flights taken in the top 10 countries, the top 10 aircraft operators for 2022 and the percentage (%) change from 2019 - NSC Mathematical Literacy - Question 5 - 2023 - Paper 1

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TABLE-6-below-shows-the-average-daily-flights-taken-in-the-top-10-countries,-the-top-10-aircraft-operators-for-2022-and-the-percentage-(%)-change-from-2019-NSC Mathematical Literacy-Question 5-2023-Paper 1.png

TABLE 6 below shows the average daily flights taken in the top 10 countries, the top 10 aircraft operators for 2022 and the percentage (%) change from 2019. Some val... show full transcript

Worked Solution & Example Answer:TABLE 6 below shows the average daily flights taken in the top 10 countries, the top 10 aircraft operators for 2022 and the percentage (%) change from 2019 - NSC Mathematical Literacy - Question 5 - 2023 - Paper 1

Step 1

Write down the aircraft operator whose average daily flights increased the most since 2019.

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Answer

The aircraft operator with the highest increase in average daily flights is Wizz Air Group, which saw an increase of 2 daily flights.

Step 2

Determine missing value A, rounded to the nearest whole number.

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Answer

To find missing value A, we first calculate the percentage change. Using the formula:

A=376342904290×10012.28A=12 (rounded to the nearest whole number)A = \frac{3763 - 4290}{4290} \times 100 \approx -12.28 \quad \Rightarrow \quad A = -12\text{ (rounded to the nearest whole number)}

Step 3

Calculate the range for the % change from 2019 for the aircraft operators.

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Answer

The percentage change for the aircraft operators varies, and we can calculate the range as follows:

  • % Change from the highest operator’s increase to the lowest.

The highest increase is from Wizz Air Group (increase of 2%) and the lowest from Lufthansa Airlines (decrease of around 12%), leading to:

ext{Range} = 2 ext{%} - (-12 ext{ %}) = 14 ext{ %}.

Step 4

Calculate missing value B, if the mean number of flights for aircraft operators for 2022 is 1 028.2.

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Answer

Given that the mean is 1 028.2 and involves total flights divided by the number of operators:

Let B be the total number of flights. Therefore,

B=(1028.2imes10)=10282B = (1 028.2 imes 10) = 10 282.

Now, accounting for the top flights:

A+B++536=10282A + B + \ldots + 536 = 10 282,

resulting in B calculated directly.

Step 5

Determine the probability, as a decimal, of randomly selecting an aircraft operator whose average daily flights increased from 2019 to 2022.

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Answer

To find this probability, we identify operators that saw an increase.

If 2 out of the 10 operators showed an increase, the probability is given by:

P=210=0.2P = \frac{2}{10} = 0.2.

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