The mayor of a large U. S. city is interested in addressing complaints from many property owners regarding recent property assessments. Many people feel that they are being overtaxed and that their assessments are too high. To study this issue, the mayor plans to hire consultants to randomly select homes in the city and have these homes independently assessed for value. However, she is concerned that the cost of sampling will be very high since the city is spread out over a wide geographical area. To potentially reduce the cost of sampling, which of the following statistical sampling techniques should be applied?

In order to reduce the cost of sampling, the cluster sampling should be applied.

Cluster sampling is a form of sampling techniques whereby the population that the researcher wants to study are divided into smaller groups which are called clusters.

Based on the question asked, since the the cost of sampling will be high for the entire population, the population can be divided into clusters after which the required people will be selected. This will help in reducing the cost.

In conclusion, the statistical sampling techniques that should be applied is the cluster sampling.

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proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc