Question

question 8 2 points in country x there were 7,812 individuals with liver disease and of those individuals, 429 received liver transplants. at that time, there were approximately 8.7 million citizens in country x. what is the incidence rate of transplant patients for liver disease out of the total population per 100,000?

Explanation:

Step1: Identify the number of transplant patients and total population

The number of transplant patients (\(n\)) is 429, and the total population (\(N\)) is \(8.7\times10^{6}\) (since 8.7 million = \(8.7\times10^{6}\)).

Step2: Set up the proportion for incidence rate per 100,000

Let \(x\) be the incidence rate per 100,000. The proportion is \(\frac{x}{100000}=\frac{429}{8.7\times10^{6}}\).

Step3: Solve for \(x\)

Cross - multiply to get \(x=\frac{429\times100000}{8.7\times10^{6}}\). First, simplify the denominator: \(8.7\times10^{6}=8700000\), and the numerator: \(429\times100000 = 42900000\). Then, \(x=\frac{42900000}{8700000}\). Divide 42900000 by 8700000: \(42900000\div8700000 = 429\div87\approx4.93\).

Answer:

The incidence rate is approximately \(4.93\) per 100,000.