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A relation R is defined on the set Z of all integers. In each case, prove that R is an equivalence relation. Find the distinct equivalence classes of R and list at least four members of each.
1- xRy if and only if x^2+y^2 is a multiple of 2.
Write x^2+y^2 as (x+y)^2-2xy
2- xRy if and only if x+3y is a multiple of 4.
On the other hand, if the market is unfavorable. ken will suffer a loss of $200.000. But ken has always been a very optimistic decision maker.
Conduct a matched pairs t-test to see if the differences in locations is significant - The air in poultry-processing plants often contains fungus spores.
Ten people agree to take part in an experiment designed to determine whether a persons weight differs between morning & evening.
State a question that can be answered in a "binomial" manner, such as Do you normally read the front page of a newspaper at least 4 times a week?
His estimated regression equation was Crime = 428 + .050 Income. Which outcomes would be likely in a bivariate regression on 45 randomly chosen U.S. cities in 2005 with
Utilizing a binominal experiment, that is each trail can be reduced to two outcomes, construct a binomial distribution.
Can we conclude from this that most workers there earn between $25 and $35 per hour? Is this right interpretation for margin of error?
Suppose that 40% of participants consume caffeine and smoke. if 8 participants are evaluated, what is the probability that: a) Exactly half of them consume caffeine and smoke?
What are the mean value and standard deviation of the number among these 15 that are from the second section? What are the mean value and standard deviation of the number of projects not among these first 15 that are from the second section?
A chance sample of 50 families revealed an average or median of $112,000 and a standard deviation of $40,000. What is the standard error of the average or median?
As an aid for improving students' study habit, nine students were randomly selected to attend a seminar on the importance of education in life. The table shows the number of hours each student studied per week before and after the seminar.
The company will replace any printer that fails during the guarantee period. How long should speedy jet printers be guaranteed if the company wishes to replace no more than 15% of the printers?
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