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Mathematics : Recent Questions and Answers (Page 128)

Find answers to your questions about Mathematics or help others by answering their Mathematics questions.

The product of the ages of someone's children

Maria's children are all in school - and their ages are all whole numbers. If the school only takes children from $5$ up to $18$ years and...

Asked on 02/06/2021 by Rathal

2 answer

A committee of m members is to be chosen from a population of n students. What is your probability of being chosen?

A committee of $m$ students is being formed by randomly selecting from a population of n undergraduate students in an engineering college (note: m < n). Assume that you...

Asked on 02/06/2021 by Joseph Bungabong

1 answer

Prove by induction floor and ceiling

I couldn't solve below question ... I was able to start the solution .. but I couldn't turn left side to be same as write side in the inductive step:...

Asked on 02/06/2021 by user836026

1 answer

$a,b,c,d$ are complex numbers corresponding to points $A,B,C,D$ lying on a circle with origin as center,and chord $AB⟂CD$. Find $ab+cd$

Question Let on the Argand plane $a,b,c$ and $d$ represent the complex numbers corresponding to the points $A,B,C$ and $D$ respectively, all of which lie on...

Asked on 02/06/2021 by Maven

3 answer

Let, $N,K,N',K'$ be groups and $Ncong N',Kcong K'$. Does $Nrtimes Kcong N'rtimes K'$?

I have tried this problem in the following way-Let $f:Nto N'$ and $g:Kto K'$ be two isomorphisms. $K, K'$ act on $N,N'$ respectively such that...

Asked on 02/06/2021 by DeltaEpsilon

0 answer

Integrate $2x(2x-3)^frac{1}{2} dx$.

I am fairly new to integration. I need to find the integral of$$2x(2x-3)^frac{1}{2} dx.$$ I will be using substitution, right? I tried using $u = 2x -...

Asked on 02/05/2021 by Pretending to be a Calculator

5 answer

Dimensionality theorem irreps finite dimensional algebra

For representations of finite groups it is known that the regular representation of a finite group is the direct sum of irreps, each with dimension equal to the multiplicity with...

Asked on 02/05/2021 by Gert

1 answer

On approximating the distribution of the distance between two random points on an $n$-sphere

Let $tauin(0,2)$ a given threshold value. What is the probability that the Euclidean distance $D$ between two points $mathbf{x}$ and $mathbf{y}$ selected uniformly at random on...

Asked on 02/05/2021 by Let101

1 answer

Rule of inference. Is the argument valid?

Show that the following argument is valid by using rules of inference. The premises are:$neg p vee r$$q rightarrow (k wedge t)$$p rightarrow q$$neg(k wedge t)$The...

Asked on 02/05/2021 by Blue

2 answer

Relation between norm and variance of a random vector

I have been normalizing vectors for my work and there are generally two methods that I have been following. I assumed both the methods are equivalent until I found out...

Asked on 02/04/2021

1 answer

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