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

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

egin{align*} ext{Percentage of yard trimmings} &= rac{ ext{yard trimmings}}{ ext{Total recycling}} imes 100\ &= rac{3.4}{91.16} imes 100
& ext{Total recycling}= 91.16 ext{ million tons}\ &= 3.73\ ext{So, about } 3.7 ext{% of the total materials are yard trimmings.} ext{The correct value is } 3.7 ext{%.} ext{Final answer: } 3.7 ext{%. } ext{Correct calculated values: } 100 ext{% - } 6.3 ext{% = } 93.7 ext{%.}

The percentage allocated for textiles is 1.6% as indicated in the pie chart.

The total amount of plastic recycled in 2015 can be calculated as follows:

egin{align*} ext{Total plastic recycled} &= rac{3.4}{100} imes 91.16
&= 3.4 imes 0.9116
&= 3.09445 ext{ million tons}
& ext{Therefore, the total plastic recycled is approximately } 3.09 ext{ million tons.} ext{Final answer: } 3.09 ext{ million tons.} ext{Ensure to measure accuracy.} ext{Total amount: } 3.09 ext{ million tons.}

An example of a product that could be recycled under the metals category is cans, pieces of motor vehicles, household appliances, or scrap metal.

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

To find the probability of randomly selecting a material in the 'other category' that is NOT textiles, we first find the total percentage for the 'other' category, which is 11.2%. Therefore, the probability is calculated as:

ext{Probability} = rac{ ext{percentage of other category}}{ ext{total percentage}} = rac{11.2}{100} = 0.112

Thus, the probability is 0.112.