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 ...continues

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 reas ...continues

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, mon ...continues

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?

A biologist must make a nutrient of her algae...

A biologist must make a nutrient of her algae. The nutrient must contain three basic elements D, E, F, and must contain at least 10kg of D, 12kg of E, and 20Kg of F. The nutrient is made from three ingredients, I, II, III. The quantity of D, E, F in one unit of each of the ingredients is given in the following chart. ...continues

Using Simplex method minimize C...

In this problem I am trying to get rid of the artificial variable using the two phase method. However all of the rows either have negatives or zeros and my final answer keeps coming out to be a negative and none of the other answers plug into the constraints. The problem is Using Simplex method minimize C: ...continues

Use the method incorporating the duality

A brewery manufactures 3 types of beer ---lite, regular and dark. Each vat of lite beer requires 6 bags of barley, 1 bag of sugar, and 1 bag of hops. Each vat of regular beer requires 4 bags of barley, 3 bags of sugar, and 1 bag of hops. Each vat of dark beer requires 2 bags of barley, 2 bags of sugar, and 4 bags of hops. Eac ...continues

Probability problem

A large sports conference moved to have women compose at least 40% of its athletics within 5 years. Suppose they exactly achieve the 40% figure, and that 5 athletics are picked at random from 10 universities. The number of women is recorded. (a) give a probability distribution (b) find the expected value

Probability

Six people will decide which of them are on a committee by flipping a coin. Each person flips the coin, and is on the committee if he or she gets a head. What is the probability that someone is on the committee, but not all six people.