Provide an appropriate response.Fill in the blank to complete the statement. A proof by mathematical induction is used to prove that a statement is true for all   ?  .

A. integers
B. real numbers
C. positive integers
D. rational numbers


Answer: C

Mathematics

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Which situation comes closest to the signal-in-noise interpretation of average?

a. John has 8 action figures. Tammy has 12. John has 10. Pam has 11. Summarize the number of action figures per person using one number. b. When a stock fell during the recession, a group of 20 investors lost a total of $20,000. What is each investor's fair share of the loss? c. The grades for Ms. Jones' class on the last exam were: 50, 68, 89, 100, 56, 72, 59, 88, 74, 76, 82. What was the typical score for a student in her class? d. A scale was used to weigh a fish. Because the fish flipped around while being weighed, the scale gave a different reading each time it was used: 6.4, 5.7, 8.2, 6.2, 6.5, 6.0, 6.2. Estimate the actual weight of the fish.

Mathematics

Solve.An express train travels 462 miles between two cities. During the first  of a trip, the train traveled through mountainous terrain. The train traveled  per hour slower through mountainous terrain than through level terrain. If the total time to travel between the cities was 9 hours, find the speed of the train on level terrain.

A. 38 mph B. 78 mph C. 58 mph D. 18 mph

Mathematics

Multiply.

A. 663,663 B. 662,354 C. 74,613 D. 15,708

Mathematics

Solve the logarithmic equation.logm(16) = -2

A. 4
B. - 
C. -4
D.

Mathematics