Answer:
The speed and time are directly proportional in that the higher the speed the lesser the time and vice versa.
The constant is the total distance which is 180 km
Step-by-step explanation:
Step one:
given data
The distance between the two cities is 180km
1.The distance was covered by a car at the rate of 50km/h
The time taken will be
velocity= distance/time
time= distance/velocity
time= 180/50
time= 3.6 hours
2.The distance was covered by a bus 45km/h
The time taken will be
velocity= distance/time
time= distance/velocity
time= 180/45
time= 4 hours
3.The distance was covered by a bicycle at 25km/h
The time taken will be
velocity= distance/time
time= distance/velocity
time= 180/25
time= 7.2 hours
Answer:
3:0.5, 9:1.5, 6:1, 33: 5.5, 12:2, 39:6.5, 15:25.
the unit rate of eggs per 1 kg of flour = 6 eggs/1 kg of flour
Step-by-step explanation:
Usually tables go in ascending numerical order...the numbers only go up, reading from right to left. But the math for this has the numbers kind of jumping around.
3/0.5 = 9/x, then cross-multiply,
3x = 9(0.5)
3x = 4.5 then divide by 3
x = 1.5
--------------------------
3/0.5 = x/1
3 = 0.5x
6 = x
----------------------------
If you need me to keep showing the math for the rest of the table, let me know.
Answer:
a)
Mean = sum of all numbers in dataset / total number in dataset
Mean = 8130/15 = 542
Median:
The median is also the number that is halfway into the set.
For median, we need to sort the data and then find the middle number which in our case is 546. Below is the sorted data
486 516 523 523 529 534 538 546 548 551 552 558 566 574 586
Standard Deviation (SD). Here X represents dataset and N= count of numbers in data
As per the SD formula, which is Sqrt ( sum (X_i - Meanx(X))/(N-1))
SD= 25.082
2) Formula for coefficient of skewness using Pearson's method (using median) is,
SK = 3* ( Mean (X) - Median(X))/(Standard Deviation) = 3*(542-546)/25.082 = -0.325
3) coefficient of skewness using the software method is also same which is -0.325
Gallons per dollar, because the dependent quantity is the dollars
