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Sagot :
To find the mean speed, we need to calculate the average of the given speeds at different times. Here are the speeds given:
- At 4:00 p.m. the speed was 30 km/h
- At 4:10 p.m. the speed was 20 km/h
- At 4:20 p.m. the speed was 50 km/h
- At 4:30 p.m. the speed was 70 km/h
- At 4:40 p.m. the speed was 20 km/h
- At 4:50 p.m. the speed was 70 km/h
- At 5:00 p.m. the speed was 20 km/h
First, we sum up all these speeds:
[tex]\[ 30 + 20 + 50 + 70 + 20 + 70 + 20 \][/tex]
Adding these values together:
[tex]\[ 30 + 20 = 50 \][/tex]
[tex]\[ 50 + 50 = 100 \][/tex]
[tex]\[ 100 + 70 = 170 \][/tex]
[tex]\[ 170 + 20 = 190 \][/tex]
[tex]\[ 190 + 70 = 260 \][/tex]
[tex]\[ 260 + 20 = 280 \][/tex]
So, the total sum of speeds is 280 km/h.
Next, we count the number of time intervals given. There are 7 intervals.
To find the mean speed, we divide the total sum of speeds by the number of intervals:
[tex]\[ \text{Mean Speed} = \frac{280}{7} = 40 \text{ km/h} \][/tex]
Thus, the mean speed in this unstable traffic flow situation is [tex]\(\boxed{40}\)[/tex] km/h.
- At 4:00 p.m. the speed was 30 km/h
- At 4:10 p.m. the speed was 20 km/h
- At 4:20 p.m. the speed was 50 km/h
- At 4:30 p.m. the speed was 70 km/h
- At 4:40 p.m. the speed was 20 km/h
- At 4:50 p.m. the speed was 70 km/h
- At 5:00 p.m. the speed was 20 km/h
First, we sum up all these speeds:
[tex]\[ 30 + 20 + 50 + 70 + 20 + 70 + 20 \][/tex]
Adding these values together:
[tex]\[ 30 + 20 = 50 \][/tex]
[tex]\[ 50 + 50 = 100 \][/tex]
[tex]\[ 100 + 70 = 170 \][/tex]
[tex]\[ 170 + 20 = 190 \][/tex]
[tex]\[ 190 + 70 = 260 \][/tex]
[tex]\[ 260 + 20 = 280 \][/tex]
So, the total sum of speeds is 280 km/h.
Next, we count the number of time intervals given. There are 7 intervals.
To find the mean speed, we divide the total sum of speeds by the number of intervals:
[tex]\[ \text{Mean Speed} = \frac{280}{7} = 40 \text{ km/h} \][/tex]
Thus, the mean speed in this unstable traffic flow situation is [tex]\(\boxed{40}\)[/tex] km/h.
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