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Mazyrski [523]
3 years ago
5

This type of sampling makes use of geographical blocks or voting districts as a sampling frame in order to cut down a huge popul

ation size.
Group of answer choices

a. Cluster

b. Systematic

c. Stratified

d. Simple
Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

Answer:

The correct option is a) Cluster.

Step-by-step explanation:

Consider the provided information.

Types of sampling:

  • Systematic sampling: list of elements is counted off.
  • Simple random sample: It is a subset of the population chosen from a larger set.
  • Cluster sampling: It divides the population into groups, usually geographically.
  • Stratified sampling: It divide population into groups called strata. but this time population might be separated into males and females

Here, the population is divided into geographical blocks,

Thus, the type of sampling is cluster.

Therefore the correct option is a) Cluster.

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What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
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The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

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Step 3:

The area of a half-sphere is half of a full sphere.

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Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

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