Math Answers

1.3 Using a Truth table, determine the value of the compound proposition

((𝑝 ∨ 𝑞) ∧ (¬𝑝 ∨ 𝑟)) → (𝑞 ∨ 𝑟)

give steps please

1.1 Determine whether ( 𝑝∨𝑞)∧(𝑝→𝑟)∧( 𝑞→𝑠)→𝑟∨𝑠 is a Tautology or a contradiction

And give steps please

4/p+p/6-3p/2

If the amount of cosmic radiation to which a person is exposed while flying by jet across the United States is a random variable having the normal distribution with mean as

4.35 mrem and standard deviation as 0.59 mrem. Find the probabilities that the amount of cosmic radiation to which a person is exposed on such a flight is: 

a) Between 4.00 mrem to 5.00 mrem, 

b) At least 5.50 mrem, 

c) No more than 4.5 mrem.

What does doing mathematics mean?

trace the curve (x^2+y^2)x=2x62+y^2

A tradesman marks his goods 25% above the cost price and allows his customers 12% reduction on their bills. What percent profit does he make?

Let R1 and R2 be two relation on real number such that R1 = {(x, y)|x < y} and R2 =

{(x, y)|x > y}, then find R1 ∪ R2,R1 ∩ R2,R1 − R2, R2 − R1, and R1+LR2.

There are 150 students in a class. The distribution if their marks in a mathematics test are as follows

Class                                                   frequency

0-9                                                      3

10-19                                                  10

20-29                                                  17

30-39                                                  x

40-49                                                  35

50-59                                                  y

60-69                                                  18

70-79                                                  10

80-89                                                  5

90-99                                                  2

Required

i)       The value of x given that the median mark is 44.357            (2marks)

ii)     The value of y given that the modal is 43.0                          (2marks)

iii)   Draw an ogive of the data in (a) above                                  (3 marks)

A real estate agent sells two sites for P18,000 each. On one he gains 25% and on the other he loses 25%. What is his loss or gain percent?