If Peter piper picked a pepper how many peppers does he have?
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A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. The distance of how far the fisherman row if the entire trip took 2 hours is 9.6 miles
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The speed of an object refers to the change of the object's distance within a specified time.
Mathematically, we can have;
Distance = speed × time
From the information given;
- The fisherman row upstream for 4 miles/ hour.
- The distance covered by the fisherman = 4 × t₁ ----- (1)
- The fisherman row downstream at 6 miles/ hour
- The distance covered by the fisherman = 6 × t₂ ------ (2)
- SInce it took the entire trip 2 hours, we can infer that:
- t₁ + t₂ = 2
- t₂ = 2 - t₁
From equation (2), replace the above value of t₂ into equation (2)
- d = 6 t₂
- d = 6(2 - t₁)
- d = 12 - 6t₁
From equation (1)
- d = 4 t₁
Equation both distance together, we have:
- 12 - 6t₁ = 4t₁
- 12 = 4t₁ + 6t₁
- 12 = 10t₁
- t₁ = 12/10
- t₁ = 1.2 hours
From t₂ = 2 - t₁
- t₂ = 2 - 1.2
- t₂ = 0.8 hours
From d = 4t₁
Replace t₁ with 1.2 hours
- d = 4(1.2 hours)
- d = 4.8 miles
Also, from d = 6t₂
- d = 6(0.8)
- d = 4.8 miles
Therefore, we can conclude that the distance of how far the fisherman row if the entire trip took 2 hours is (4.8+4.8) miles = 9.6 miles
Learn more about distance here:
Answer:
Part a)
Mean: 13155.6
Mode:None
Median: 12700
Step-by-step explanation:
12700 : 1
15478: 2
12675: 3
11850: 4
13075: 5
Mean :
Mode:
All values are distinct, therefore there is no mode. A mode is value which occurs most frequently.
Median:
Arrange the values in ascending order:
11850 , 12675, 12700, 12075, 15478
The mid value is median: 12700
Part b)
It depends upon the data. In this question the best way to predict how many miles Gina will drive in the next years is by using Median of the data.
The reason is that there is a potential outlier in the data i.e 15478. In case of outlier median tends to give better predictions.