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To find Jude's typing rate in characters per minute, we divide the total number of characters typed by the total number of minutes she spent typing.
Jude types 1,001 characters in 7 minutes:
\[
\text{Typing rate} = \frac{\text{Total characters}}{\text{Total minutes}} = \frac{1001 \text{ characters}}{7 \text{ minutes}} \approx 143 \text{ characters per minute}
\]
So, the answer is **B. 143 characters per minute**.