Math  /  Data & Statistics

QuestionQuestion 11 (1 point) A research lab recorded the radioactive decay of a 120 mg sample of uranium-239. The data table shows the amount of uranium-239 remaining at various times. \begin{tabular}{|c|c|c|c|c|c|} \hline Minutes & 0 & 30 & 60 & 90 & 120 \\ \hline \begin{tabular}{c} Amount of \\ Uranium (mg) \end{tabular} & 120.0 & 49.5 & 20.4 & 8.4 & 3.5 \\ \hline \end{tabular} a) Create a scatter plot, and draw a curve of best fit for the data using exponential regression. b) Use your graph to estimate the half-life of uranium-239.

Studdy Solution
Using the exponential regression equation obtained, determine the half-life. The half-life t1/2 t_{1/2} can be calculated using the formula:
t1/2=ln(2)b t_{1/2} = \frac{\ln(2)}{|b|}
where b b is the decay constant from the regression equation.
The estimated half-life of uranium-239 is calculated using the decay constant obtained from the regression.

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