Questions: A point on the line segment is chosen at random. What is the probability it is between 15 and 16? Simplify your answer and write it as a proper fraction.

A point on the line segment is chosen at random. What is the probability it is between 15 and 16? Simplify your answer and write it as a proper fraction.
Transcript text: A point on the line segment is chosen at random. What is the probability it is between 15 and $16 ?$ Simplify your answer and write it as a proper fraction. $\square$
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Solution

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Solution Steps

Step 1: Determine the total length of the line segment

The line segment ranges from 7 to 17. Therefore, the total length of the line segment is: \[ 17 - 7 = 10 \]

Step 2: Determine the length of the segment between 15 and 16

The segment between 15 and 16 has a length of: \[ 16 - 15 = 1 \]

Step 3: Calculate the probability

The probability that a randomly chosen point on the line segment is between 15 and 16 is the ratio of the length of the segment between 15 and 16 to the total length of the line segment: \[ \frac{1}{10} \]

Final Answer

\[ \frac{1}{10} \]

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