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Marina86 [1]
3 years ago
10

A questionnaire was sent to 34,000 randomly chosen individuals living in USA asking about their current and past smoking habits.

For those who answered the questionnaire, they are tracked in the next 10 year for the death rate. Their data was pulled from the health record database so that if they died, the death is recorded with the diagnosis of the cause of the death. The death rates due to heart disease among the smokers and nonsmokers are then compared to see if smoking causes heart disease. What is the targeted population
Mathematics
1 answer:
kherson [118]3 years ago
3 0

Answer:

The targeted population is USA residents who died of heart disease.

Step-by-step explanation:

According to this case, "the death rates due to heart disease among the smokers and nonsmokers are compared to see if smoking causes heart disease."  This implies that the study targets those USA residents who died of heart disease to find out if the cause of death can be traced to heart disease caused by smoking or not.  The main concentration for the study defines the targeted population.  It is this group of residents who died of heart disease that is the population of interest.  This means that the targeted population is a certain group of the population that share similar characteristics, especially death resulting from heart disease caused by smoking.

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Answer: x = \frac{mn(q - p)}{n-m}\\\\

================================================

Work Shown:

Part 1

\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\

Part 2

\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m}  \\\\

-------------------------------

Explanations:

  • There are quite a bit of steps. I decided to break things into two parts.
  • The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
  • Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
  • From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
  • The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
  • If the formulas don't properly display, then you might have to refresh the page.
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