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Restate the following proposition in the form of a biconditional, converse, inverse
and contrapositive.
Joey will pass the discrete mathematics exam if he studies hard.
Conditional
:_____________________________________________
Converse :_____________________________________________
Inverse
:_____________________________________________
Contrapositive :
Analyse each of these comments and make your own comment.
a. "How do I find the time to use media in the mathematics lessons when I have so much content to cover?"
b."if my learners cannot use the media during tests ,why should I spend my valuable teaching time on them"
c."i see how the use of media might help struggling learners but do I really need to use them with my learners who can do mathematics anyway?"
d. "I teach in the intermediate phase and my learners think the use of media is for the foundation phase and I am inclined to agree"
Analyse the comment below and make your own comment
"How do I find the time to use media in the mathematics lessons when I have so much content to cover?"
The weights (lb) of discarded plastic from a random sample of 62 household has sample mean of
"\\bar{x}=1.911"
and a sample standard deviation of
"s=1.065"
.The sanitation department claims that the mean discarded plastic from all households is greater than 1.8 lb.Use a 0.05 significance to test this claim.What is the claim written in symbolic form?
Susan plans to invest $400 at 15% annual interest compounded continuously. When will her investment triple in value?
Suppose $200 is invested at 6% annual interest compounded continuously. When will the investment be worth $800?
A printing machine valued at $3000 depreciates at a constant rate of 18% per year. In how many years will the machine be worth $750?
A town has a population of 18000 and grows at 2% every year. What will be the population after 12 years, to the nearest whole number?
According to the Civil Code of the Philippines, the marriageable age of Filipinos is 18. A researcher found out that the average age of Filipinos who got married is 23 years old. A random sample of 25 married couples were taken. Is there a reason to believe that the sample is significantly younger that the others in getting married at 1% level of significance? (the output range should be at cell G4)
25, 28, 30, 32, 31, 32, 28, 28, 20, 20, 21, 22, 23, 23, 22, 21, 20, 26, 26, 29, 30, 29, 30, 24, 24
Consider a population of size N = 9. How many different random samples of size n = 6 are possible from a population of N = 9?
