5 Finite Math Problems

1) A man walking in the woods encounters a stream. Because he is unsure of the stream depth, he measures how deep the water is in many random spots along the entire width of the stream. After 1000 measurements each with a depth of 6 inches, he concludes the probability of the water being 6 inches deep the entire way across to be 100%. Halfway across, the man takes a step and is shocked to find himself in water up to his neck. What mistake did the man make? 2) What are some of the different sets that you commonly use to classify many distinct objects together? 3) Someone flips heads on a fair, two-sided coin 100 times in a row. What is the probability that the next flip would also... click for more

language & grammar

(a) Give an example of a set S such that the language S* has more six-letter words than seven-letter words. (b) Give an example of a set S such that the language S* has more six-letter words than eight-letter words. (c) Does there exist a set S such that S* contains more six-letter words than twelve-letter words. Give reasons for your answer.

Compound Interest

The question is: Find the amount due on each comound interest loan. $7500 at 6.5% for 8 years 6 months if the interest is compunded: a. Anually b. Quarterly c. Weekly I know the formula is A=P(1+(r/m))^(mt) but my question is, how do i write the ''8 years 6 months'' as my time (t)?

Compound Interest

The formula for the amount due on a loan is A= P (1+(r/m))^(mt) Now in the question the time in years (t) is 6 years 9 months. P= $17500 r=0.085 How do I write the time(t) in the equation? Also, what if the time was 4 years 3 months, how would I write that for the time in years (t)? Also, what does semiannually, monthly and continuosly mean?

Combinations

A person has 3 different letters to write, 2 interviews to do, and 2 commercials to review. In making aschedule, (first, second, etc.) how many different combinations are there?