Math Answers

Let f and g be the functions defined by f(x)= 2x+3 g(x)= 3x+2 then composition of f and g is

null and alternative hypothesis of the problem

The principal of a school claims that 30% of the grade 11 students eat lunch

in school. A survey among 500 grade 11 students revealed that 150 of them

stayed in school during lunch. Use 95% confidence to conduct a test of

proportions.

1.645

z = 3.294

13

Step 1:Statistical

Hypotheses and

Direction of Test

H0 :

H1 :

Statistical Test :

Direction of Test :

Step 2: Level of Significance

and Critical Value

α :

zCV :

Step 3: Test Statistic zTV :

Step 4: Normal curve

Step 5: Findings and

Decision

Step 6: Interpretation

Step 7: Conclusion

The principal of a school claims that 30% of the grade 11 students eat lunch

in school. A survey among 500 grade 11 students revealed that 150 of them

stayed in school during lunch. Use 95% confidence to conduct a test of

proportions.

1.645

z = 3.294

13

Step 1:Statistical

Hypotheses and

Direction of Test

H0 :

H1 :

Statistical Test :

Direction of Test :

Step 2: Level of Significance

and Critical Value

α :

zCV :

Step 3: Test Statistic zTV :

Step 4: Normal curve

Step 5: Findings and

Decision

Step 6: Interpretation

Step 7: Conclusion

A toy company wishes to put a new toy in the market for the Christmas season. It does not want to do so if the manufacturing process produces more than 10% of toys that do no work. In a test run producing 80 of the toys, 10 are found to be defective. Based on the sample evidence, should the company continue to put a new toy in the market? Use 0.05 level of significance.

Draw a diagram by which you can visually explain to learners in the Intermediate Phase why the sum of five consecutive numbers is equal to the fifth multiple of the middle number. Choose any set of five consecutive numbers to illustrate your statement. Write down your explanation in four powerful sentences.

Using proof by contraposition, show that if n is an integer and 5 added to its cube is odd then n is even. Before showing your solution, rewrite the statement to the proper form of a conditional statement then assign variables to the simple propositions. Show also the contrapositive form of the simple propositions before proceeding to your solution.