Math Answers

Find the general solution to the differential equation 4d^2y/dx^2+4dy/dx+y=0

Let A={0, 1,2}×{2, 5,8}={(0, 2), (0, 5), (0, 8), (1, 2), (1, 5), (1, 8), (2, 2), (2, 5), (2, 8) }.

A partial order relation R on A is defined by (a, b) R(c, d) if and only if (a+b) divides (c+d). Draw a hasse diagram for poset A.

State the converse and contrapositive of each of the following implications.

(a) If it does not rain tonight, I will go fishing tomorrow.

(b) If it rains tonight, then I will stay at home.

find the total surface area of the number cube 2, 2 , 2

Suppose two dice was rolled. Let Y be the random variable representing the number of even number that occur. Find the values of the random variable Y.

A labor union claims “40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job were available” 74 persons out of the 200 sampled said they would return to work. Can we conclude that the proportion returning to work is different from (either above or below) 0.40?

Required: Test the hypothesis with 2% significance level.

The manufacturer of the Horizon truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Assume the mileage wear follows the normal distribution and the standard deviation of the distribution is 5,000 miles. Comet Truck Company bought 48 tires and found that the mean mileage for its trucks is 59,500 miles. Is Comet’s experience different from that claimed by the manufacturer at the .05 significance level?

Required: Use both the critical value method and p-value method to test the hypothesis

What are the center radius form of a circle defined by x²+y²–2x+4y–1=0

What is the center radius form of the equation of the circle

A box contains 5 balls. One is numbered 1, three are numbered 2, and one is numbered 3. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the mean of the numbers on the balls