Questions: One hundred riders from several countries participated in a bicycle race. Only eighty riders, including Carlos and Manuel, finished the race. Carlos finished 5th and Manuel was the winner. All the riders' countries of origin and finishing times were recorded on the race register. No two riders who finished had the same time and those who did not finish were recorded as DNF. Based on this information, determine if each set is well-defined. Set Is the set well-defined? ------ The set of riders with the best looking uniforms Yes No The set of countries of origin of the first ten riders to finish 0 The set of riders who finished 10 minutes or less after the winner 0 The set of the three most tired riders at the end 0 0 The set of riders who started but did not finish the race 0 0

One hundred riders from several countries participated in a bicycle race. Only eighty riders, including Carlos and Manuel, finished the race. Carlos finished 5th and Manuel was the winner. All the riders' countries of origin and finishing times were recorded on the race register. No two riders who finished had the same time and those who did not finish were recorded as DNF. Based on this information, determine if each set is well-defined. Set Is the set well-defined? ------ The set of riders with the best looking uniforms Yes No The set of countries of origin of the first ten riders to finish 0 The set of riders who finished 10 minutes or less after the winner 0 The set of the three most tired riders at the end 0 0 The set of riders who started but did not finish the race 0 0
Transcript text: One hundred riders from several countries participated in a bicycle race. Only eighty riders, including Carlos and Manuel, finished the race. Carlos finished $5^{\text {th }}$ and Manuel was the winner. All the riders' countries of origin and finishing times were recorded on the race register. No two riders who finished had the same time and those who did not finish were recorded as DNF. Based on this information, determine if each set is well-defined. \begin{tabular}{|l|c|c|c|} \hline \multicolumn{1}{|c|}{ Set } & Is the set well-defined? \\ \hline The set of riders with the best looking uniforms & Yes & No \\ \hline The set of countries of origin of the first ten riders to finish & & 0 \\ \hline The set of riders who finished 10 minutes or less after the winner & & 0 \\ \hline The set of the three most tired riders at the end & 0 & 0 \\ \hline The set of riders who started but did not finish the race & 0 & 0 \\ \hline \end{tabular}
failed

Solution

failed
failed

Solution Steps

Step 1: Determine the type of criteria

The criteria for set definition is identified as ^aesthetic judgments^, which is considered ^qualitative^.

Step 2: Verify the well-definedness based on the criteria type

Based on the criteria being ^qualitative^, it is determined that the set is ^No^ well-defined.

Explanation:

The set is not well-defined due to the subjective nature of the criteria.

Final Answer:

The set defined by ^aesthetic judgments^ is ^No^ well-defined.

Step 1: Determine the type of criteria

The criteria for set definition is identified as ^participant origins^, which is considered ^quantitative^.

Step 2: Verify the well-definedness based on the criteria type

Based on the criteria being ^quantitative^, it is determined that the set is ^Yes^ well-defined.

Explanation:

The set is well-defined as it involves participants from specific origins with complete and accurate data.

Final Answer:

The set defined by ^participant origins^ is ^Yes^ well-defined.

Step 1: Determine the type of criteria

The criteria for set definition is identified as ^finishing times^, which is considered ^quantitative^.

Step 2: Verify the well-definedness based on the criteria type

Based on the criteria being ^quantitative^, it is determined that the set is ^Yes^ well-defined.

Explanation:

The set is well-defined as it is based on objective, measurable data.

Final Answer:

The set defined by ^finishing times^ is ^Yes^ well-defined.

Step 1: Determine the type of criteria

The criteria for set definition is identified as ^aesthetic judgments^, which is considered ^qualitative^.

Step 2: Verify the well-definedness based on the criteria type

Based on the criteria being ^qualitative^, it is determined that the set is ^No^ well-defined.

Explanation:

The set is not well-defined due to the subjective nature of the criteria.

Final Answer:

The set defined by ^aesthetic judgments^ is ^No^ well-defined.

Step 1: Determine the type of criteria

The criteria for set definition is identified as ^completion status^, which is considered ^quantitative^.

Step 2: Verify the well-definedness based on the criteria type

Based on the criteria being ^quantitative^, it is determined that the set is ^Yes^ well-defined.

Explanation:

The set is well-defined as it is based on clearly recorded completion status.

Final Answer:

The set defined by ^completion status^ is ^Yes^ well-defined.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
4) Mixing two colorless solutions gives a yellow solution. The evidence for this chemical reaction is: (1point) (a) The emission of light. (b) The formation of a gas: (c) The formation of a solid. (d) Color change.
failedAnswered
Which of the following is true about the Industrial Revolution? (Select all that apply) (A) Machine work began to replace the handwork (B) Use of brick masonry for construction (C) Growth of factory towns (D) Mathematical predictions about materials' behaviors (E) Use of iron in construction (F) Steel production (H) Construction of stone bridges
failedAnswered
The new realism in the arts of the fourteenth century is found in the paintings of Giotto, writings of Chaucer, woodcuts of the Dance of Death.
failedAnswered
Find the z-score in each situation below. a. Find z.92
failedAnswered
The German word lied means Opera Dishonesty Church song Art song