Question

what is the probability that a random point on \\( \overline{ab} \\) will be on \\( \overline{cd} \\)?

enter as a decimal rounded to the nearest hundredth.

Explanation:

Step1: Calculate the length of \( \overline{AB} \)

The length of \( \overline{AB} \) is \( 88 - 63=25 \).

Step2: Calculate the length of \( \overline{CD} \)

The length of \( \overline{CD} \) is \( 84 - 79 = 5 \).

Step3: Calculate the probability

The probability \( P \) that a random point on \( \overline{AB} \) is on \( \overline{CD} \) is given by the formula \( P=\frac{\text{length of } \overline{CD}}{\text{length of } \overline{AB}} \). Substituting the values, we get \( P=\frac{5}{25}=0.20 \).

Answer:

\(0.20\)