South Africa is in the middle of a potentially wet season as heavy rainfalls continue to fall over large parts of the country, thus improving the country's water situation - NSC Mathematical Literacy - Question 3 - 2021 - Paper 1
Question 3
South Africa is in the middle of a potentially wet season as heavy rainfalls continue to fall over large parts of the country, thus improving the country's water sit... show full transcript
Worked Solution & Example Answer:South Africa is in the middle of a potentially wet season as heavy rainfalls continue to fall over large parts of the country, thus improving the country's water situation - NSC Mathematical Literacy - Question 3 - 2021 - Paper 1
Step 1
Determine the date on which the reading of the dam level was taken last week.
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Answer
The reading of the dam level was taken on 29 March 2021.
Step 2
Write down, in words, the actual value of the net FSC for Gauteng.
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Answer
The actual value of the net full storage capacity (FSC) for Gauteng is one hundred and twenty-eight million cubic metres.
Step 3
Identify the province with the third lowest dam level percentage for last year.
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The province with the third lowest dam level percentage for last year is KwaZulu-Natal.
Step 4
Determine which province had the highest percentage increase in dam levels from last year to this year.
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The province that had the highest percentage increase in dam levels from last year to this year is the Free State.
Step 5
Calculate the missing value D if the mean percentage storage capacity for last week was 83%.
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Answer
Using the formula for the mean percentage storage capacity, we can find the missing value D:
ext{Mean} = rac{D + 73 + 82 + 88 + 99 + 101 + 105}{7} = 83
Calculating gives:
D+548=581
Therefore, D=33.
Step 6
Identify, as a fraction, the probability of randomly selecting a province with dam levels exceeding 100%, for both this week and last week.
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Answer
The fraction of the provinces with dam levels exceeding 100% is:
This week: rac{1}{9} (only Gauteng)
Last week: rac{5}{9} (Gauteng, Limpopo, Mpumalanga, Western Cape and KwaZulu-Natal).
Step 7
Calculate (in m³) the actual FSC of Free State for last week.
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Answer
The actual full storage capacity (FSC) of Free State for last week is:
15657extmillionm3=15657000000m3.
