Practice and Application Flashcards

A project is scheduled to take 15 days. After 9 days, 72% of the work is done. Based on this rate, will the project finish on time?

Answer: Yes, it will finish 1 day early

Rate = 72%/9 = 8%/day; remaining 28% ÷ 8%/day = 3.5 days → done in 12.5 days total, 1 day early.

Which statement best describes inductive reasoning?

Answer: Forming a general conclusion from specific observations

Inductive reasoning moves from specific observations to a broader generalization or conclusion.

A student scores 82, 76, 91, 68, and 88 on five tests. What is the average (mean) score?

Answer: 81

Sum = 405; mean = 405 ÷ 5 = 81.

When evaluating whether a source of information is reliable, which factor is most important?

Answer: Whether the information is recent and from a credentialed author

Reliability depends on recency and the credibility of the author or institution, not length or agreement with personal views.

A car depreciates in value by 15% each year. If the car's current value is $20,000, what will it be worth after 2 years?

Answer: $14,450

After year 1: $20,000 × 0.85 = $17,000; after year 2: $17,000 × 0.85 = $14,450.

A technician must complete 5 tasks, each taking 20 minutes, but can work on only one at a time with a 5-minute break between each. How long does the full job take?

Answer: 120 minutes

5 tasks × 20 min = 100 min of work + 4 breaks × 5 min = 20 min; total = 120 minutes.

Which of the following scenarios demonstrates practical application of probability?

Answer: Calculating the chance of rain to decide whether to carry an umbrella

Using probability to make a real-world decision (carry an umbrella) is a direct practical application of probability concepts.