Math Answers

Convert the following rectangular coordinates into polar coordinates (r , theta) so that r<0 and 0<theta <2pi: ( 4, -4 square root of 3)

A die is rolled and then a coin is tossed.

a. Determine how many different outcomes are possible.

b. Construct a tree diagram to list all of the possible outcomes.

If U = {0,1,2,3,4,5,6,7,8,9}, A = {3,6,9} and B = {4,8}, find:

a. A _{intersection B}

_{b. A union B}

_{c. A complement}

_{d. B complement}

_{e. (A union B)complement}

If z="8(\\cos \\frac{5\\pi}{3}+i\\sin \\frac{5\\pi}{3})", then z⁶ is equal to

((2<45°)^2+(3<120°))/((3<120°)+(4<180°)) leave your answer in rectangular form

Mean and standard deviation are two common

A. Hypotheses

B. Tool

C. Parameters

D. None of the above

Principle of mathematical induction to prove 1+2+2²+2³+....+2^n-1=2^n-1

An association of City Mayors conducted a study to determine the average number of times a family went to buy necessities in a week. They found that the mean is 4 times in a week. A random sample of 25 families were asked and found a mean of 5 times in a week and a standard deviation of 2. Use 1% significance level to test that the population mean is greater than 4 hours. Assume that the population is normally distributed.

An association of City Mayors conducted a study to determine the average number of times a family went to buy necessities in a week. They found that the mean is 4 times in a week. A random sample of 20 families were asked and found a mean of 5 times in a week and a standard deviation of 2. Use 5% significance level to test that the population mean is not equal to 5. Assume that the population is normally distributed. What should be the decision for the hypothesis?

Given the standardized normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2). What is the probability that Z is greater than 1.08?