Math Answers

Find the limit of the sequence section 3.2.6

Find inverse Laplace transform of F(s) = 50 (s + 1)(s + 5)

The average monthly salary of 525 public school teachers in a municipality is P18925. 150 public school teachers were interviewed and found out they are receiving an average monthly salary of P17000. Identify the following:

1. Population

2. Sample

3. Parameter

4. Statistic

Find the standard of the circle which has a circle at ( 15, -20), radius 9.

A thermometer is taken from a room where the temperature is 20°C to the outdoors,

where the temperature is 5°C. After one minute the thermometer read 12°C.Use

Newton’s Law of Cooling to answer the following questions:

a) What will the reading on the thermometer be after one more minute?

b) When will the thermometer read 6°C?

Show that the series , ∞Σ n=1 (x/1+n^2x^2) is uniformly convergent in [ k,1] for any k>0.

At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics instructors, and 4 science instructors. If an instructor is selected, find the probability of getting a science instructor or a math instructor

A recent study of 300 patients found that of 100 alcoholic patients, 87 had elevated cholesterol levels, and of 200 nonalcoholic patients, 43 had elevated cholesterol levels. If a patient is selected at random, find the probability that the patient is the following.

An alcoholic with elevated cholesterol level

A nonalcoholic

A nonalcoholic with non-elevated cholesterol level

In a recent year 8,073,000 male students and 10,980,000 female students were enrolled

as undergraduates. Receiving aid were 60.6% of the male students and 65.2% of the female students. Of those receiving aid, 44.8% of the males got federal aid and 50.4% of the females got federal aid. Choose 1 student at random. (Hint: Make a tree diagram.) Find the probability that the student is

A male student without aid

A male student, given that the student has aid

A female student or a student who receives federal aid

A tuna producer claims that its cans of tuna contain a standard amount of tuna. It has been determined that of 200 cans manufactured, 92% contain the standard amount. An inspector will only accept a shipment if at least 175 out of 200 sample cans contain more than the standard amount. What is the probability that the shipment is accepted?