Math Answers

(true/false)with justification.
There is no real number 'a' such that the equation x^2 + ax - 3 = 0 has equal roots.

solve the equation
(x +1) (x + 3) (x + 4) (x + 6) = 112.

A firm has two grades of coffee beans, Grade A and Grade B. 40 kg of Grade A and 45 kg of Grade B are to be mixed and packaged into two types of packets of 1 kg each — economy type and special type. The economy pack consists of beans of Grade A and Grade B in the ratio 1 : 3. The special pack consists of beans of Grade A and Grade B in equal proportion. Find the number of economy and special packs that can be made, using the substitution method.

If P(A) = 0⋅50, P(B) = 0⋅ 40 and P(A ∪ B) = 0⋅70,find P(A | B) and
P(A B), c ∪ where c A is the complement of A. State whether A and B are
independent. Justify your answer.

prove De Moivre's theorem for n∈Z/N

The bearing of bird on a tree from a hunter on the ground is N720E. What is the bearing of the hunter from the bird?

If P(A) = 0⋅50, P(B) = 0⋅ 40 and P(A ∪ B) = 0⋅70,find P(A | B) and
P(A B), c ∪ where c A is the complement of A. State whether A and B are
independent. Justify your answer.

A bag contains 8 blue balls and 5 black balls. 2 successive draws of 3 balls are made without replacement. find the probability that the first drawing will give 3 black balls and the second 3 blue balls.

A survey was recently done in a certain town to determine readership of newspapers available. 50% of the resident read Daily Nation, 60% read the standard and 20% read both newspapers. Determine the probability that a resident selected does not read any newpaper.

Is the function sin x cos x monotonic on [-π/2 , π/2] ? justify your answer