Study the pie charts above and answer the questions that follow - NSC Mathematical Literacy - Question 5 - 2019 - Paper 1
Question 5
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
One possible data collection method that could have been used is the use of questionnaires. This method allows researchers to collect detailed information from respondents regarding recycling habits and material types.
Step 2
5.1.2 Calculate the percentage allocated for yard trimmings.
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Answer
To calculate the percentage allocated for yard trimmings, we use the formula:
Percentage for Yard Trimmings = ( \frac{\text{Yard Trimmings}}{\text{Total Material}} \times 100 )
= ( \frac{3.4}{91.16} \times 100 \approx 3.73% )
Step 3
5.1.3 Determine the percentage allocated for textiles.
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To determine the percentage allocated for textiles, we can directly derive it from the pie chart, noting that textiles make up 2.7% of the total material.
Step 4
5.1.4 Calculate (in tons) the total amount of plastic recycled in 2015.
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The total amount of plastic recycled in 2015 can be calculated by first finding the percentage of plastic recycled and then applying it to the total material:
Total Plastic = ( 91.16 \times \frac{3.4}{100} )
= ( 3.0964 , \text{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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An example of a product that could be recycled under the metals category is aluminum cans. These include beverage cans or food containers that are commonly recycled.
Step 6
5.1.6 State another type of graph that could be used to represent the data above.
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A bar graph would be another effective type of graph to represent the data. It allows for easy comparisons between the different categories of recycled materials.
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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To determine this probability, we first calculate the total percentage for the 'other' category. Assuming 'other' is 11.2%, the probability can be calculated as follows:
Probability = ( \frac{\text{Percentage of Other Materials}}{\text{Total Non-textile Materials}} )
= ( \frac{11.2}{100 - 2.7} = 0.120 \text{ (rounded to 3 decimal places)} )