Final answer:
The distance between Carol and Robin's workplaces is approximately 7.77 km.
Step-by-step explanation:
To find the distance between Carol and Robin's workplaces, we can use the Pythagorean theorem. Since Carol walks north 2.0 km and Robin drives west 7.5 km, we have a right triangle. The distance between their workplaces is the hypotenuse of this triangle. In practice, most people use a calculator or software to compute the standard deviation.
Using the Pythagorean theorem, we can calculate the distance:
Distance = sqrt((2.0 km)^2 + (7.5 km)^2)
Distance = sqrt(4.0 km^2 + 56.25 km^2)
Distance = sqrt(60.25 km^2)
Distance ≈ 7.77 km