Hi there!
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
Answer:
B. Systematic
Step-by-step explanation:
<em>Since Quality Control Manager is selecting every 10th soup. This type of Sampling Method is called Systematic Sampling.</em>
Further,
If the whole population is divided into many groups(strata) such that between the group units are heterogeneous and within the group units are homogeneous then units are randomly selected from these groups. This type of sampling is called Stratified Sampling.
If the sampling is done by any criteria then this type of sampling method is called Systematic Sampling. Like observer is taken every 5th unit as a sample.
If the samples from the population are chosen randomly, where each and every unit has an equal chance of selection in a sample. This type of sampling is called Simple Random Sampling.
In Cluster Sampling the population is distributed into a distinct group (clusters) and one or more groups (clusters) are chosen as a sample then it is Cluster Sampling.
If the observers collect the sample as his\her convenience, then this type of sampling method is called Convenience Sampling.