A researcher is interested in attitudes towards releasing prisoners with Alzheimer's who have a life sentence. 85 randomly selected Americans were asked, "Prisoners with Alzheimer's who have a life sentence should be released: Strongly Agree, Agree, Disagree, Strongly Disagree". Match the vocabulary word with its corresponding example.

Answer and Step-by-step explanation:

The matching of the vocabulary word with its corresponding example is shown below:-

a. Data - The list of answers that the 85 Americans give.

Data refers the information that is to be collected.

b. Variable - The answer "Strongly Agree" or "Agree" or "Disagree" or "Strongly disagree".

Variable refers the changes of the expression according to the context.

c. Parameter - The proportion of all Americans who strongly agree that prisoners with life sentences who has Alzheimer's should be released.

A parameter is a quantity that affects a mathematical object's production or behavior, but is considered constant

d. Statistics - The proportion of 85 Americans surveyed who strongly agree that prisoners with life sentences who has Alzheimer's should be released.

Statistics is a field of mathematics involved in data collection, organisation and analysis.

e. Sample - The 85 Americans who participated in the survey.

A sample is the result of an experiment on randomly.

f. Population - All Americans

Population refers to the number of the public.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: