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 \(AB\)

The length of \(AB\) is \(52 - 31=21\).

Step2: Calculate the length of \(CD\)

The length of \(CD\) is \(50 - 43 = 7\).

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: \(P=\frac{7}{21}=\frac{1}{3}\approx0.33\).

Answer:

\(0.33\)