Use TABLE 3 above to answer the questions that follow. 3.1.1 During 2015 the number of black females was estimated to be 41,1% of the total South African population. Determine the estimated total South African population (rounded off to the nearest 100) for 2015. 3.1.2 The total estimated population of SA during 2016 was 55 908 000. If a person was randomly chosen in 2016, determine the probability that the person would be the following: (a) a white female (b) a male 3.1.3 Show, using calculations, that in any TWO consecutive years the Indian/Asian female percentage (rounded off to ONE decimal place) remained the same.

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Use TABLE 3 above to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2

Question 3

Use TABLE 3 above to answer the questions that follow. 3.1.1 During 2015 the number of black females was estimated to be 41,1% of the total South African population... show full transcript

Worked Solution & Example Answer:Use TABLE 3 above to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2

Step 1

3.1.1 During 2015 the number of black females was estimated to be 41,1% of the total South African population.

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Answer

To find the total South African population for 2015, we can use the formula:

total population = \rac{number of black females}{percentage of black females}

Here, the number of black females in 2015 is 22 574 500 and the percentage is 41.1% (or 0.411 in decimal form). Therefore:

ext{Total population} = \ rac{22 574 500}{0.411} \approx 54 925 800

Rounding off to the nearest 100 gives a total population estimate of 54 925 800.

Step 2

3.1.2 If a person was randomly chosen in 2016, determine the probability that the person would be the following:

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Answer

(a) a white female

To find the probability of randomly selecting a white female:

P(white\ female) = \ rac{number\ of\ white\ females}{total\ population} = \ rac{2 325 100}{55 908 000} \approx 0.042 \text{ (or 4.2%)}

(b) a male

To find the probability of randomly selecting a male, we first need to determine the total number of males:

P(male) = 1 - P(female)

We can find the total number of females from the population statistics and subtract it from the total:

ext{Total females} = 55 908 000 - 28 529 100 = 27 378 900

Hence:

P(male) = \ rac{28 529 100}{55 908 000} \approx 0.511 \text{ (or 51.1%)}

Step 3

3.1.3 Show, using calculations, that in any TWO consecutive years the Indian/Asian female percentage (rounded off to ONE decimal place) remained the same.

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Answer

To show that the Indian/Asian female percentage remained constant:

For 2014:

ext{Percentage} = \ rac{664 900}{28 078 700} \times 100 \ ightarrow 2.4\%\text{ (rounded to 1 decimal place)}

For 2015:

ext{Percentage} = \ rac{673 900}{28 529 100} \times 100 \ ightarrow 2.4\%\text{ (rounded to 1 decimal place)}

Thus, the percentages for 2014 and 2015 are both 2.4%, showing they remained the same.

Use TABLE 3 above to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2

Worked Solution & Example Answer:Use TABLE 3 above to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2

3.1.1 During 2015 the number of black females was estimated to be 41,1% of the total South African population.

3.1.2 If a person was randomly chosen in 2016, determine the probability that the person would be the following:

3.1.3 Show, using calculations, that in any TWO consecutive years the Indian/Asian female percentage (rounded off to ONE decimal place) remained the same.

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