The mean mass of 35 bags of potatoes on a truck is 49 kg. Eight more bags of mean mass 53 kg are added to the truck. What is the new mean mass of the potatoes? Round your answer to the nearest whole kg.
So does that mean
n1=35
n2=8
m1=1715
m2=424
Total bag count: 43
Total Mass: 2139
New mean mass: 49.74418605
Round it to the nearest kilo
50kg.
Is that correct???
Perfect!
n1=35, total mass, m1 = 35*49 = 1715
n2=8, total mass, m2 = 8*53 = 424
Total bag count = n1+n2
total mass = m1+m2
New mean mass = (m1+m2)/(n1+n2)
prince swanny andcake I v
To find the new mean mass of the potatoes, you need to calculate the total mass of all the bags of potatoes, including the additional bags, and then divide it by the total number of bags.
First, calculate the total mass of the original 35 bags of potatoes:
Total mass of original bags = Mean mass * Number of bags
Total mass of original bags = 49 kg * 35 bags
Next, calculate the total mass of the additional 8 bags of potatoes:
Total mass of additional bags = Mean mass * Number of bags
Total mass of additional bags = 53 kg * 8 bags
Now, calculate the new total mass of all the bags of potatoes by adding the total masses of the original and additional bags:
New total mass = Total mass of original bags + Total mass of additional bags
Finally, calculate the new mean mass of the potatoes by dividing the new total mass by the total number of bags (35 original bags + 8 additional bags):
New mean mass = New total mass / (Number of original bags + Number of additional bags)
Round the final answer to the nearest whole kilogram, as required.
Let's do the calculations:
Total mass of original bags = 49 kg * 35 bags = 1715 kg
Total mass of additional bags = 53 kg * 8 bags = 424 kg
New total mass = 1715 kg + 424 kg = 2139 kg
Number of bags = 35 bags + 8 bags = 43 bags
New mean mass = 2139 kg / 43 bags ≈ 49.98 kg
Rounded to the nearest whole kilogram, the new mean mass of the potatoes is approximately 50 kg.