For intermediate runners (generally those who run 10 – 20 miles per week) an average 5K time would be around 20-25 minutes, which is an average speed of around 7-9mph over the course.

Step-by-step explanation:

https://www.ukfitnessevents.co.uk/event/5k-runs/average-5k-time

3 0

3 years ago

A 12-centimeter stick has a mark at each centimeter. By breaking the stick at two of these eleven marks at random, the stick is

Lana71 [14]

Answer: The probability that the lengths of the three segments are the side lengths of a triangle is 0.25.

Step-by-step explanation:

Consider the event "S" as "The three segments are the sides of a triangle." Remember that the probability of an event occurring is calculated according to:

$P(S)=\frac{Cases\ in\ favor\ of\ S}{Total\ cases}$

By dividing the stick into three segments, the possible cases that can be obtained writing each case in parenteses and the length of each piece as a number are:

(1, 1, 10), (1, 2, 9), (1, 3, 8), (1, 4, 7), (1, 5, 6), (2, 2, 8), (2 , 3, 7), (2, 4, 6), (2, 5, 5), (3, 3, 6), (3, 4, 5), (4, 4, 4).

which corresponds to a total of 12 total cases.

The necessary condition so that a triangle can be formed is that the sum of its two minor sides is greater than the greater side, therefore the favorable cases would be:

(2, 5, 5), (3, 4, 5), (4, 4, 4)

which corresponds to a total of 3 favorable cases. Using the probability formula we obtain:

$P(S)=\frac{Cases\ in\ favor\ of\ S}{Total\ cases}=\frac{3}{12}=0.25$

8 0

3 years ago