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------------------------------------------------ In Apextown, there are 320,000 29-year-olds. Based on the table below, how many are not expected to be alive in a year?

[tex]
\[
\begin{tabular}{|l|l|l|}
\hline
\multicolumn{3}{|c|}{\text{EXPECTED DEATHS PER 100,000 ALIVE AT SPECIFIED AGE}} \\
\hline
\text{Age} & \text{Expected Deaths Within 1 Year} & \text{Expected to be Alive in 1 Year} \\
\hline
15 & 63 & 99,937 \\
16 & 79 & 99,921 \\
17 & 91 & 99,909 \\
18 & 99 & 99,901 \\
19 & 103 & 99,897 \\
20 & 106 & 99,894 \\
21 & 110 & 99,890 \\
22 & 113 & 99,887 \\
23 & 115 & 99,885 \\
24 & 117 & 99,883 \\
25 & 118 & 99,882 \\
26 & 120 & 99,880 \\
27 & 123 & 99,877 \\
28 & 127 & 99,873 \\
29 & 132 & 99,868 \\
45 & 315 & 99,685 \\
46 & 341 & 99,659 \\
47 & 371 & 99,629 \\
\hline
\end{tabular}
\]
[/tex]

Answer :

We start with the fact that there are [tex]$320,\!000$[/tex] 29‑year‑olds in Apextown. For individuals aged 29, the table shows that there are [tex]$132$[/tex] expected deaths per [tex]$100,\!000$[/tex] people in one year.

First, we determine how many groups of [tex]$100,\!000$[/tex] individuals are in [tex]$320,\!000$[/tex]. This is calculated by

[tex]$$
\text{Multiplier} = \frac{320,\!000}{100,\!000} = 3.2.
$$[/tex]

Next, we calculate the total number of expected deaths by multiplying the number of groups by the death rate per group:

[tex]$$
\text{Expected Deaths} = 3.2 \times 132 = 422.4.
$$[/tex]

Thus, the number of 29‑year‑olds who are not expected to be alive in a year is approximately [tex]$422.4$[/tex].