Question

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

Explanation:

Step1: Calculate the length of \(AB\)

The length of \(AB\) is \(39 - 14=25\)

Step2: Calculate the length of \(CD\)

The length of \(CD\) is \(32 - 17 = 15\)

Step3: Calculate the probability

The probability \(P\) that a random point on \(\overline{AB}\) is on \(\overline{CD}\) is given by the formula \(P=\frac{\text{length of }CD}{\text{length of }AB}\). Substitute the values: \(P=\frac{15}{25}=\frac{3}{5}=0.60\)

Answer:

\(0.60\)