Recent content by knowLittle

Thank you all!

I would like some feedback on my proof. Can I just say that : 0< a<1 ... [1] 0<b<1 ... [2] multiplying [2] by 'a' everywhere, then I get 0<ab<a And, we prove that ab<a?

Thank you, Fact Checker. Besides the assumptions statement. Is my solution correct?

I think I lack the intuition. I assume it's an average driver with an average probability, yes. Does it mean that my p value is wrong? I am confused about this different values for mean : \text{Expected val }= \frac{1}{p} or \frac{1-p}{p} ? The odds of crashing each hour are independent...

(Geometric). The probability of being seriously injured in a car crash in an unspecified location is about .1% per hour. A driver is required to traverse this area for 1200 hours in the course of a year. What is the probability that the driver will be seriously injured during the course of the...

Still not very sure on how to start. BTW, is there anything rescuable from my first approach?

Thanks. We need to show that ##fog## is onto or in other words fog = z = f(g(x)) =A? f: A-> A : f(a) = A g: A ->A: g(a) = A Is this correct?

Homework Statement Prove that set of all onto mappings of A->A is closed under composition of mappings: Homework Equations Definition of onto and closure on sets. The Attempt at a Solution Say, ##f## and ##g## are onto mappings from A to A. Now, say I have a set S(A) = {all onto mappings of A...

Once, I have ##y(x^2+1) = x## what else can I do? ## y x^2 + y = x## divide all over x^2 wouldn't work.

The question says that A= R-{0} and B =R. Then, that f:A ->B and I need to show whether they 1-1 and whether they are onto. Prove. Thanks for the hint.

Homework Statement I need to show that $$\frac{x}{x^2+1}$$ is either onto or not. My domain is $$R-{0}$$ and range is $$R$$ Homework Equations I have learn to do this to show that a function is surjective y = $$\frac{x}{x^2+1}$$ and solve for x, but I am not sure how to proceed here. The...

Homework Statement Imagine that force for is atom was ## F= - \frac{\beta}{r^4}##, rather than ##F=- \frac{ke^2}{r^2}##, and consider only circular orbits, it would remain true that ##L_n= n \hbar## a.) From Netwon's law find the relationship between ##T ##(Kinetic Energy) and ##V##, b.) Find...

Thank you, I understand now.

Homework Statement Title of pie chart: New Construction in Daisy Hill Subdivision Given a pie chart with sections: Currently Completed: 26% Currently Under Construction: 42% Approved, but Not Yet Started: 32% Question: When construction is completed in Daisy Hill Subdivision there'll...

Homework Statement Let's assume that the classical ideas of space and time are correct, so that there could only be one frame, "ether", in which light traveled with same speed in all directions. Assume that the Earth's speed relative to the ether frame is our orbital speed around the sun...