To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 30.4km + 2.3km
total distance = 32.9km

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{14\sqrt{21}}{7\sqrt{7}} \)
\( \frac{14}{7} \) \( \sqrt{\frac{21}{7}} \)
2 \( \sqrt{3} \)

There are 3 2-passenger taxis available so that's 3 x 2 = 6 total seats. There are 9 people needing transportation leaving 9 - 6 = 3 who will have to find other transportation.

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{11 + 9 + 12 + 8}{4} \) = \( \frac{40}{4} \) = 10

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{4!}{6!} \)
\( \frac{4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6 \times 5} \)
\( \frac{1}{30} \)