Math Answers

Construct a truth table (truth matrix) for each of these compound proposition

1. p ∧ ~q
2. p → ~q
3. ( p ∨ q ) → ( p ∧ q)
4. ( p ∨ q ) → r
5. ( p ∨ q )∧ ~r

by using truth table (truth matrix), show that each statement is a tautology, contradictory or a contingent statement.

1. ~p ∧ q
2. ~(p ∨ q) → q
3. ~(~p ∧ q) ∨ q
4. ~p → (p → q)
5. ~p → (p ∨ q)

the sum of two numbers is 4. find the minimum value of the sum of their cubes.

You play a game with two six-sided dice. If you roll a sum of 3 or 8, you win ₱600. If you roll a sum of 10, you win ₱400. However, you lose ₱500 for anything else. If you continue to play the game, how much do you expect to win or lose in the game?

Find the corresponding area between z=0 and each of the following

1.z=0.85

2.z=1.27

3.z=2.86

4.z=1.05

5.z=-2.96

Determine if the following situations use as random or non-random sampling. Also, write 

              the type of random or non-random sampling technique used.

1. Selection of students name 10 written in rolled papers in a box containing

      100 names.__________________

2. The respondents are selected according to class size whereas 30 for freshmen, 20 for 

       Sophomores, 10 for juniors, and 5 for seniors. ____________________

3. The minority groups of senators are to be interviewed._______________________

4. Five hundred “likes” from netizens in facebook is used as a basis for making decisions._______________________

5. Two thousand respondents nationwide are chosen for national election purposes from 

      populations of regions down to barangays.____________________

p,p+7,p+14,.... is arithmetic sequence

Find n term and Find the smallest value of p for which 2021 is a term in the sequence.