Multiple Choice Question Randall Racer runs the 100 meter dash in an average time of 10.4 seconds with a standard deviation of 0.1 seconds. If Randall's times are normally distributed, we have a \( 99.7 \% \) expectation that his finishing time for his next race will be greater than__ seconds.

To determine the time which Randall Racer is expected to finish his next race with a \( 99.7\% \) confidence level, we need to consider the normal distribution and the empirical rule. Since \( 99.7\% \) corresponds to approximately \( 3 \) standard deviations from the mean, we will calculate \( 10.4 + 3(0.1) \) which equals \( 10.7 \) seconds. Therefore, we can expect with \( 99.7\% \) confidence that his finishing time will be greater than \( 10.7 \) seconds. Now, let's dive into a little historical context! The 100 meter dash has been a defining event in various athletic competitions, including the Olympics, since its inception in the late 19th century. The sprint showcases not just speed but also technique, agility, and explosive power, making it a spectacular and competitive event! For some practical advice, if you ever find yourself training for a sprint, focus on your starting block technique and driving phase, as these are crucial for optimizing your race times. A common mistake athletes make is neglecting their recovery—you need to give your muscles time to repair and grow stronger. Embrace rest as much as you embrace training!