High School

In Apex City, there are 244,000 48-year-olds. Based on the table below, how many are not expected to be alive in a year?

[tex]
\[
\begin{array}{|l|l|l|}
\hline
\multicolumn{3}{|c|}{\text{Expected Deaths per 100,000 Alive at Specified Age}} \\
\hline
\text{Age} & \text{Expected Deaths Within 1 Year} & \text{Expected to be Alive in 1 Year} \\
\hline
15 & 63 & 99,937 \\
16 & 79 & 99,921 \\
17 & 91 & 99,909 \\
18 & 99 & 99,901 \\
19 & 103 & 99,987 \\
20 & 106 & 99,894 \\
21 & 110 & 99,890 \\
22 & 113 & 99,887 \\
23 & 115 & 99,885 \\
24 & 117 & 99,883 \\
25 & 118 & 99,882 \\
26 & 120 & 99,880 \\
27 & 123 & 99,877 \\
28 & 127 & 99,873 \\
29 & 132 & 99,868 \\
45 & 315 & 99,685 \\
46 & 341 & 99,659 \\
47 & 371 & 99,629 \\
48 & 405 & 99,595 \\
49 & 443 & 99,557 \\
\hline
\end{array}
\]
[/tex]

Using the table, you can find the number of expected deaths for 48-year-olds, which is 405 per 100,000. Calculate the total number of 48-year-olds not expected to be alive in a year based on this rate.

Answer :

We start by noting that there are
[tex]$$244,\!000$$[/tex]
48-year-olds, and according to the information provided, for 48-year-olds there are
[tex]$$405$$[/tex]
expected deaths per 100,000 individuals within one year.

First, we determine how many groups of 100,000 are contained in the population of 244,000. This is calculated as:
[tex]$$
\text{Groups} = \frac{244,\!000}{100,\!000} = 2.44.
$$[/tex]

Next, we calculate the expected number of deaths by multiplying the number of groups by the death rate per 100,000:
[tex]$$
\text{Expected deaths} = 2.44 \times 405 \approx 988.2.
$$[/tex]

Thus, approximately 988 individuals are not expected to be alive in a year.