Answer:
The distance of the run was 27 miles and the distance of the bicycle race was 88 miles.
Step-by-step explanation:
Since I have entered 115-mile biathlon that consists of a run and a bicycle race, and during my run, my average velocity is 9 miles per hour, and during my bicycle race, my average velocity is 22 miles per hour , and I finish the race in 7 hours, to determine what is the distance of the run and what is the distance of the bicycle race, the following calculations must be performed:
7 x 22 + 0 x 9 = 154
5 x 22 + 2 x 9 = 128
4 x 22 + 3 x 9 = 115
Therefore, the distance of the run was 27 miles and the distance of the bicycle race was 88 miles.
Answer:
(a) 4.152698
(b) 3.215557
Step-by-step explanation:
(a)
n=4, so :
Each subinterval has length :
Therefore the subintervals consist of:
![[1,5], [5,9], [9,13]](https://tex.z-dn.net/?f=%5B1%2C5%5D%2C%20%5B5%2C9%5D%2C%20%5B9%2C13%5D)
Now, the midpoints of these subintervals are:
Hence:
(b)
n=4, so :
Each subinterval has length :
Therefore the subintervals consist of:
[1,5], [5,9], [9,13]
The endpoints of the subintervals consist of:
5,9
Hence:
Speed = distance / time
Speed = 120 / 33
Speed = 3.64 miles per hour
