Math Answers

Describe new or latest trends in mathematical research concerning functions

Expand sinx*coshx in ascending powers of x upto x^5

Three groups of children consist of 3 girls and 1 boy, 2 girls and 2 boys, 1 girl and 3 boys respectively. One child is picked up at random from each group. Find the probability that the selection consist of 1 girl and 2 boys?

The probability that a randomly selected 11​-year-old male feral cat will live to be 22 years old is 0.76526. ​(a) What is the probability that two randomly selected 11​-year-old male feral cats will live to be 22 years​ old?

(10g2 + 3g - 10) + (2g2 + g + 7)

Determine the square of the arc element for the curvilinear coordinate system
(u,v,w) whose coordinates are related to the Cartesian coordinates as follows:
x = 3u + v − w; y = u + 2v + 2w;z = 2u − v − w.

The construction of a building may be delayed by a strike. Suppose that the
probability that there will be a strike is 0.70, the probability that the construction
will be completed on time if there is no strike is 0.90 and the probability that the
building will be completed on time if there is a strike is 0.40, what is the
probability that the construction will be completed on time.

a) An athlete is running in four races and in each race she has a 60% chance of
winning. What is the probability that she will win at least two races?
b) A website has on the average two hits per hour. Assuming a Poisson distribution for
the number of hits per hour (X), calculate the probability that there are at most three
hits.

A committee of four is to be formed from among 5 economists, 4 engineers, 2 statisticians and 1 doctor . Find the probabilities that,
(i) Each profession is represented in the committee
(ii) Has atleast one economists
(iii) Has a doctor as a member and three others
(Iv) Has atleast one engineer but no economists