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 $70 - 30=40$.

Step2: Calculate the length of $\overline{CD}$

The length of $\overline{CD}$ is $53 - 48 = 5$.

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 \(P=\frac{5}{40}= 0.125\approx0.13\) (rounded to the nearest hundredth).

Answer:

\(0.13\)