Discuss and explain why sampling permits us to make inferences about populations.

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The end result of sampling is to get a representative sample, or a small collection of units or cases from a much larger collection or population. In theory, the researcher can study the smaller group and produce accurate generalizations about the larger group. Researchers focus on the specific techniques that will yield highly representative samples much so in similarities as a population. Quantitative researchers tend to use a type of sampling based on theories of probability from mathematics, called probability sampling.Sampling is the group of individuals who participate in your study. These are the individuals who will participate in a qualitative study. People who could have been participants in your study but did not actually participate are not considered part of your sample.

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I'm kinda lost in this problem. Can you teach me how to solve these

boyakko [2]

53) Vertical angles are congruent, so $m\angle IDA=121^{\circ}$

54) $\angle YDA$ and $\angle YDF$ are supplementary, so $m\angle YDA=180^{\circ}-121^{\circ}=59^{\circ}$

55) Because vertical angles are congruent, $m\angle FDI=59^{\circ}$ . Now, because DR bisects $\angle FDI$ , this means $m\angle RDI=\frac{59}{2}=29.5^{\circ}$