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Calculate the cause-specific death rates for measles and tuberculosis using the provided data and formula.

Mathematics

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The formula for cause-specific death rate is:

Cause-Specific Death Rate=Number of deaths from a specific causeTotal population at risk×k\text{Cause-Specific Death Rate} = \frac{\text{Number of deaths from a specific cause}}{\text{Total population at risk}} \times k

where kk is a constant.

Given data:

  • Children less than 5 years = 490
  • Children who died of measles = 3
  • Total adults = 739
  • Number of deaths from tuberculosis = 7
  • Constant k=1000k = 1000
  1. Calculate the cause-specific death rate for Measles.

    The population at risk for measles deaths in children is the total number of children less than 5 years.

    Measles Death Rate=Number of children who died of measlesTotal children less than 5 years×k\text{Measles Death Rate} = \frac{\text{Number of children who died of measles}}{\text{Total children less than 5 years}} \times k Measles Death Rate=3490×1000\text{Measles Death Rate} = \frac{3}{490} \times 1000 Measles Death Rate=3000490\text{Measles Death Rate} = \frac{3000}{490} Measles Death Rate≈6.1224\text{Measles Death Rate} \approx 6.1224

    Rounding to two decimal places:

    Measles Death Rate≈6.12 per 1000 children less than 5 years\text{Measles Death Rate} \approx 6.12 \text{ per } 1000 \text{ children less than 5 years}

    The cause-specific death rate for measles is 6.12 per 1000\boxed{6.12 \text{ per } 1000}.

  2. Calculate the cause-specific death rate for Tuberculosis.

    The population at risk for tuberculosis deaths in adults is the total adult population.

    Tuberculosis Death Rate=Number of deaths from tuberculosisTotal adults×k\text{Tuberculosis Death Rate} = \frac{\text{Number of deaths from tuberculosis}}{\text{Total adults}} \times k Tuberculosis Death Rate=7739×1000\text{Tuberculosis Death Rate} = \frac{7}{739} \times 1000 Tuberculosis Death Rate=7000739\text{Tuberculosis Death Rate} = \frac{7000}{739} Tuberculosis Death Rate≈9.4722\text{Tuberculosis Death Rate} \approx 9.4722

    Rounding to two decimal places:

    Tuberculosis Death Rate≈9.47 per 1000 adults\text{Tuberculosis Death Rate} \approx 9.47 \text{ per } 1000 \text{ adults}

    The cause-specific death rate for tuberculosis is 9.47 per 1000\boxed{9.47 \text{ per } 1000}.

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