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.
5.1.2... 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 a survey or questionnaire directed at waste management facilities to gather information on the types and quantities of materials being recycled.
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:
ext{Percentage of Yard Trimmings} = rac{3.4}{91.16} imes 100
This calculates to approximately 3.73%.
Step 3
5.1.3 Determine the percentage allocated for textiles.
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The percentage allocated for textiles is directly given as 1.6%. This value represents the portion of total recycling dedicated to textiles.
Step 4
5.1.4 Calculate (in tons) the total amount of plastic recycled in 2015.
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Answer
To find the total amount of plastic recycled, we use the formula:
ext{Total Plastic Recycled} = rac{3.4}{100} imes 91.16 ext{ million tons}
This results in approximately 3.09 million tons of plastic recycled.
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, as they can be melted down and reused to create new products.
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 is a bar graph, which would allow for easy comparison of the different categories of 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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Answer
To find this probability, first identify the total percentage of materials in the 'other' category:
Total 'Other' Category = 11.2%.
Total Textile Category = 1.6%.
Therefore, the probability is:
P( ext{Selecting Other NOT Textiles}) = rac{11.2}{11.2 + 1.6} = rac{11.2}{12.8} = 0.875
