Math Answers

Suppose there are 19 Math majors, 17 English majors, and no double majors. How many ways

are there to choose someone who is either a Math major or a English major?

Provide the answers to the following items. (5 items x 3 points)

1.      Given A = {2, 4, 6, 8} and B = {3, 4, 5, 6}, determine:

a)      A U B

b)     A ∩ B

2.      Given A = {3, 5, 7, 9} and B = {4, 5, 6, 7}, determine:

a)      A - B

b)     B - A

c)      A ∩ B

If a farmer is chosen randomly from this community, what is the probability that he grows neither oranges nor lemon

Use the bissection method to approximate the root of f(x)=2x^2-1 in the interval (0,1). Let ε =0.1be the margin of error of approximation.0.1be the margin of error of approximation.

An average tire used by a transportation company lasts 20,000 km with a standard deviation

of 100 km. Assuming that the distance traveled by a tire is normally distributed, what is the

probability that a tire used by the company will last at most 30,000 km?

Find f ◦ g and g ◦ f , where f (x) = 3x - 2 and g(x) = 2x + 2, are functions from R to R

A researcher claims that the average salary of a private school teacher is greater than P35,000 with

a standard deviation of P7,000. A sample of 35 teachers has a mean salary of P37,000. Test the

claim of the researcher. At 0.05 level of significance, test the claim of the researcher.

A researcher claims that the average salary of a private school teacher is greater than P35,000 with

a standard deviation of P7,000. A sample of 35 teachers has a mean salary of P37,000. Test the

claim of the researcher. At 0.05 level of significance, test the claim of the researcher.

A researcher claims that the average salary of a private school teacher is greater than P35,000 with

a standard deviation of P7,000. A sample of 35 teachers has a mean salary of P37,000. Test the

claim of the researcher. At 0.05 level of significance, test the claim of the researcher.

A researcher claims that the average salary of a private school teacher is greater than P35,000 with

a standard deviation of P7,000. A sample of 35 teachers has a mean salary of P37,000. Test the

claim of the researcher. At 0.05 level of significance, test the claim of the researcher.