Math  /  Data & Statistics

Question```latex \text{Predict the ball's rebound height after each successive bounce if its starting height is 200 cm. Create a table with these predicted heights.}
\begin{tabular}{|c|c|} \hline \text{Bounce} & \text{Height (cm)} \\ \hline 1 & 166.4 \\ \hline 2 & 138.445 \\ \hline 3 & \\ \hline 4 & \\ \hline 5 & \\ \hline 6 & \\ \hline \end{tabular}
\text{If the ball was left to bounce uninterrupted how high ................} ```
\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}
\text{Dialogue Transcript:}
\text{Hello! It looks like you have a question about predicting the rebound height of a ball. The information you've provided shows the ball starts at a height of 200 cm and gives the rebound heights for the first two bounces. However, there is missing information, and it seems the table is incomplete.}
\text{To help you further, I need to know:} \begin{enumerate} \item \text{The rebound ratio or the percentage of the height retained after each bounce.} \item \text{How many bounces you would like to calculate the height for.} \end{enumerate}
\text{Once you provide this information, I can assist you in completing the table with the predicted heights for each bounce. Looking forward to your response!}
\text{Extracted text from attached image:} \begin{tabular}{|c|c|} \hline \text{Drop Height (cm)} & \text{Rebound Height (cm)} \\ \hline 150 & 124 \\ 70 & 59 \\ 120 & 100 \\ 100 & 83 \\ 110 & 92 \\ 40 & 33 \\ \hline \end{tabular}

Studdy Solution
Complete the table with the predicted heights:
\begin{tabular}{|c|c|} \hline \text{Bounce} & \text{Height (cm)} \\ \hline 1 & 166.4 \\ \hline 2 & 138.445 \\ \hline 3 & 115.2 \\ \hline 4 & 95.8 \\ \hline 5 & 79.7 \\ \hline 6 & 66.3 \\ \hline \end{tabular}

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