Discrete Mathematics Answers

3Fn − Fn−2 = Fn+2, for n ≥ 3.

what is symbolic form of she did nit received a promotion or she did not received a salary increase

What is symbolic form of it is not true that, the students answered their activity or participated in the class discussion

The ages of 100 persons are tabulated below. Find Q1, Q3, D2, D8, P20 and P60. Above what age

we have the oldest 10% persons?

Age(in years) 10-20 20-30 30-40 40-50 50-60 60-70 70-80

No. of persons 16 20 21 28 10 3 2

Note: the oldest 10% are above P90.

Ans.: P20 = 22, P60=41.071, the oldest 10% persons are of the age 55 and above.

Calculate the quartiles, (i,e., Q1 and Q3,), deciles D3 and D7, Percentiles P10, P23 and P92 for the

following data. Also find the Quartile Range and Quartile Deviation.

Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80

No. of Students 8 7 5 12 28 22 8 10

Translate the following statement into mathematical expression based on the given propositional variables.

“If a country’s leaders are elected based on good leadership traits, then the country will have good governance”.

p : A country’s leaders are elected based on good leadership traits.

q : The country will have a good governance.  

q → pp → qp ⟷ qq ⟷ p

Which of the following is false about a proposition?

(¬p ∨ p) is a proposition.(¬p ∧ p) is a proposition.A predicate is not a proposition.c.(¬p ∨ ¬p) is a proposition.

Let A be a given finite set and P(A) its power set. Let ⊆ be the inclusion relation on the elements of P(A). Draw Hasse diagrams of (P(A), ⊆) for A={a}; A={a,b}; A={a,b,c} and A={a,b.c.d}.

Showing all working, find a formula for the general term of the sequence (sn) = s3, s4, s5 . . . defined by

s3 = π and sn = sn-1 - 2 for n >= 4.