Answer:
a. μ = 25
b. σ = 16.496
Step-by-step explanation:
Note: See the attached excel for the calculation of Mean and Deviation from Mean.
Let: N = Number of observation = 9
F = Frequency
Therefore, we have:
a. Compute the expected number of arrivals per minute. μ=___( please type as an integer or a decimal)
From the attached excel file, we have:
Total F = 200
Therefore, we have:
μ = Mean = Total of F / (N - 1) = 200 / (9 - 1) = 25
b. Compute the standard deviation σ=___(please round to three decimal places as needed)
From the attached excel file, we have:
Total (F - μ)^2 = 2,177
σ = Standard deviation = (Total of (F - μ)^2 / (N - 1))^0.5 = (2,177 / (9 - 1))^0.5 = 16.496
Answer: Block A has the greatest density.
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Explanation:
We'll need the volume of each block.
To find the volume, multiply length width and height together.
- Block A volume = 6*4*2 = 48 cubic cm
- Block B volume = 6*2*4 = 48 cubic cm
- Block C volume = 2*4*6 = 48 cubic cm
All three blocks have the same volume even though they look different. This is because the order of the 2, 4 and 6 doesn't matter. The blocks are just rotated versions of one another.
Divide the mass of the block over the volume to find the density.
- Block A density = (mass)/(volume) = (3 kg)/(48 cubic cm) = 0.0625 kg per cubic cm
- Block B density = (mass)/(volume) = (1 kg)/(48 cubic cm) = 0.0208333 kg per cubic cm (approximate)
- Block C density = (mass)/(volume) = (2 kg)/(48 cubic cm) = 0.041667 kg per cubic cm (approximate)
To summarize, we have these densities:
- Block A = 0.0625 kg per cubic cm (exact)
- Block B = 0.0208333 kg per cubic cm (approximate)
- Block C = 0.0416667 kg per cubic cm (approximate)
We then see that block A has the greatest density since 0.0625 is the largest among the three results. More material is packed in the same volume of space compared to the other blocks. In other words, its more densely packed.
You can think of a crowded city being dense with people, compared to a wide open rural town that has fewer people and is less dense.
Possibly the quickest way to see how or why block A is the most dense is to notice block A has the most mass. The more mass, the higher the density when we fix the volume to be the same each time. Therefore, block B will be the least dense since it has the lowest mass. Once again, this trick only works when the volumes are all the same. Otherwise, you'll have to compute the densities shown above.
Answer:
=
Step-by-step explanation:
1.75*100=175%
The formula for the area of a rectangle is
, so given that
, the area of the entire rectangle is
. We now subtract the white part, with area
, so
