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Study the pie charts above and answer the questions that follow - NSC Mathematical Literacy - Question 5 - 2019 - Paper 1

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Study the pie charts above and answer the questions that follow. 5.1.1 Write down ONE possible data collection method that was used to gather the above data. 5.1... show full transcript

Worked Solution & Example Answer:Study the pie charts above and answer the questions that follow - NSC Mathematical Literacy - Question 5 - 2019 - Paper 1

Step 1

5.1.1 Write down ONE possible data collection method that was used to gather the above data.

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Answer

A possible data collection method for gathering the above data could be using questionnaires or interviews conducted with waste management facilities.

Step 2

5.1.2 Calculate the percentage allocated for yard trimmings.

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Answer

The percentage allocated for yard trimmings can be calculated as follows:

  1. Total pie chart value = 100%.
  2. Yard trimmings = 3.4%.
  3. Thus, the percentage for yard trimmings is 3.4%.

Step 3

5.1.3 Determine the percentage allocated for textiles.

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Answer

The percentage allocated for textiles is determined by:

  1. Textiles = 1.6% from the pie chart data.
  2. Thus, the percentage for textiles is 1.6%.

Step 4

5.1.4 Calculate (in tons) the total amount of plastic recycled in 2015.

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Answer

To calculate the total amount of plastic recycled in 2015:

  1. Total recycled material = 91.16 million tons.
  2. Plastic = 3.4% of 91.16 million tons.
  3. Calculation: ext{Plastic Recycled} = rac{3.4}{100} imes 91.16 = 3.09944 ext{ million tons}
  4. Thus, the total amount of plastic recycled in 2015 is approximately 3.1 million tons.

Step 5

5.1.5 Give ONE possible example of a product that could be recycled under the metals category.

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Answer

An example of a product that could be recycled under the metals category is scrap metal from construction or automotive industries.

Step 6

5.1.6 State another type of graph that could be used to represent the data above.

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Answer

Another type of graph that could be used to represent the data above is a bar graph.

Step 7

5.1.7 Determine, as a decimal, the probability of randomly selecting a material in the 'other category' that is NOT textiles.

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Answer

To calculate the probability:

  1. The percentage for the 'other' category is 11.2%.
  2. The probability of randomly selecting a material in the 'other' category is: P = rac{11.2}{100} = 0.112
  3. Thus, the probability, as a decimal, is 0.112.

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