A fish tank, shaped as a cube, has a volume of 36 liters, or 2,197 in cubed. What are the dimensions of the fish tank in Inches?
1 answer:
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Answer:
see attached
Step-by-step explanation:
As you know, dividing by a fraction is the same as multiplying by that fraction's inverse (or reciprocal). Any whole number is equivalent to the fraction that is that whole number divided by 1. (For example, 4 = 4/1.)
Answer:
Coefficient of variation (weight) = 15%
Coefficient of variation (volume) = 25%
Step-by-step explanation:
Let's begin by listing out the given information:
Population = 200, Average weight = 26 lb,
standard deviation (weight) = 3.9 lb,
Average volume = 8.8 ft³,
standard deviation (volume) = 2.2 ft³
Based on the data given, the manager will have to make a deduction by comparing the relative scatter of both variables due to the different units of measuring weight (pounds) and volume (cubic feet).
To compare the variation of the weight and volume, we use the coefficient of variation given by the formula:
Coefficient of Variation = (Standard deviation ÷ Mean) * 100%
⇒ = (σ ÷ μ) * 100%
For weight
σ = 3.9 lb, μ = 26 lb
(weight) = (3.9 ÷ 26.0) * 100% = 15%
(weight) = <u>15</u>%
For volume
σ = 2.2 ft³, μ = 8.8 ft³
(volume) = (2.2 ÷ 8.8) * 100% = 25%
(volume) = <u>25</u>%
∴ <u>the relative variation of the volume of the package is greater than that of the weight of the package</u>