Certainly! Let's determine the approximate speed for all of the cars that pass through the intersection during the critical time using the speeds recorded.
Here are the steps involved:
1. List the recorded speeds:
[tex]\[
32, 20, 41, 38, 35, 28, 25, 18, 30, 27, 31, 15, 35, 37, 32, 28, 25, 33, 32, 30
\][/tex]
2. Calculate the sum of the speeds:
The total sum of these speeds is [tex]\(592\)[/tex] miles per hour.
3. Count the number of speeds recorded:
There are [tex]\(20\)[/tex] speeds recorded.
4. Calculate the mean (average) speed:
To find the mean speed, we divide the total sum of the speeds by the number of speeds recorded:
[tex]\[
\text{Mean Speed} = \frac{\text{Total Sum of Speeds}}{\text{Number of Speeds}} = \frac{592}{20} = 29.6 \, \text{miles per hour}
\][/tex]
5. Round the mean speed to the nearest tenth:
The mean speed after rounding to the nearest tenth is [tex]\(29.6\)[/tex] miles per hour.
Thus, the approximate speed for all of the cars that pass through the intersection during this critical time is [tex]\(29.6\)[/tex] miles per hour.
So, the correct answer to be typed in the box is:
[tex]\[
29.6
\][/tex]
