Math

QuestionFind the average volume of pollutants from three plants: Lincoln (32.64 L), Platte (30.14 L), Pitt (34.79 L). Use significant digits.

Studdy Solution

STEP 1

Assumptions1. The volume of pollutant produced by each plant is given as Lincoln -32.64 L, Platte -30.14 L, Pitt -34.79 L. . The average volume is calculated as the sum of the volumes divided by the number of plants.
3. The number of significant digits in the answer should match the number of significant digits in the given data.

STEP 2

First, we need to find the total volume of the pollutant produced by all the plants. We can do this by adding up the volumes produced by each plant.
Totalvolume=VolumeLincoln+VolumePlatte+VolumeittTotal\, volume = Volume_{Lincoln} + Volume_{Platte} + Volume_{itt}

STEP 3

Now, plug in the given values for the volumes produced by each plant to calculate the total volume.
Totalvolume=32.64L+30.14L+34.79LTotal\, volume =32.64\, L +30.14\, L +34.79\, L

STEP 4

Calculate the total volume of the pollutant produced by all the plants.
Totalvolume=32.64L+30.14L+34.79L=97.57LTotal\, volume =32.64\, L +30.14\, L +34.79\, L =97.57\, L

STEP 5

Now that we have the total volume, we can find the average volume produced by each plant. This is done by dividing the total volume by the number of plants.
Averagevolume=Totalvolume/NumberofplantsAverage\, volume = Total\, volume / Number\, of\, plants

STEP 6

Plug in the values for the total volume and the number of plants to calculate the average volume.
Averagevolume=97.57L/3Average\, volume =97.57\, L /3

STEP 7

Calculate the average volume of the pollutant produced by each plant.
Averagevolume=97.57L/3=32.5233333333LAverage\, volume =97.57\, L /3 =32.5233333333\, L

STEP 8

The number of significant digits in the answer should match the number of significant digits in the given data. The given data has4 significant digits, so we should round our answer to4 significant digits.
Averagevolume=32.52LAverage\, volume =32.52\, LThe chemical engineer should report an average volume of32.52 L.

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