Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 116

probability that the number of roulette spins until the sum of the spins exceeds a given number

A roulette wheel is labelled $1$ through $n$, with each number havingthe same probability of being selected and each spin of the roulette isindependent of the...

Asked on 02/18/2021 by AB Balbuena

1 answer

Discrete Math - Calculating $sum_{k}^{n}$

I have a question regarding on how to calculate expressions like (I need to write it without $sum$ and without $k$): $$sum_{k=2}^{25}binom{25}{k}binom{k}{2}$$ And also like: $$sum_{k=1}^{10}kbinom{10}{k}binom{20}{10-k}$$...

Asked on 02/18/2021 by MathLover

2 answer

Show that convex hull can be represented as an intersection of half-spaces

Yesterday I've stuck with the following problem: Suppose that $a_0, a_1, ..., a_n$ are affine independent points of $n$-dimensional affine space. $H_i$ is the hyperplane that passes...

Asked on 02/18/2021 by Levon Minasian

1 answer

Statistical probability of being sick

You have a machine that has a $0.9$ probability to give the correct diagnosis of a flu disease (similar for both the negative and positive diagnoses).The probability of...

Asked on 02/17/2021 by Alex100

1 answer

Prove that $F(x,y)=(x-4y,2x+3y)$ is bijective

I saw the solution of this similar exercise Prove that $F(x,y) =(2x+y, x+4y)$ is bijective, But we didn't study ker Yet, I want an elementary solution, please I need...

Asked on 02/17/2021 by user835019

2 answer

The diagram shows an equilateral triangle $ADE$ inside a square $ABCD$ . What is the value of $frac{[Delta ADE]}{[Delta DEC]}$ .

The diagram shows an equilateral triangle $ADE$ inside a square $ABCD$ . What is the value of $frac{[Delta ADE]}{[Delta DEC]}$ .What I Tried: Here is the diagram...

Asked on 02/17/2021

3 answer

Decision tree root

I have a set of examples in the table : https://imgur.com/a/mBc2td4 , there are 3 properties with possible values "a","b","c". I am going to build a decision...

Asked on 02/17/2021 by John.L

0 answer

Series solution to 2D Poisson's equation on a rectangle with Dirichlet boundary conditions.

I've been following this link in order to try to solve Poisson's equation on a rectangle $[L_x, L_y]$:begin{equation}left(frac{partial^2}{partial x^2} + frac{partial^2}{partial y^2}right)varphi(x, y)...

Asked on 02/17/2021 by Lucas Myers

1 answer

Infinite dimensional vector space has almost complex structure if and only if it is 'even-dimensional'?

I started studying the book of Daniel Huybrechts, Complex Geometry An Introduction. I tried studying backwards as much as possible, but I have been stuck on the concepts of...

Asked on 02/17/2021 by John Smith Kyon

3 answer

Convert Hexadecimal $8D(16)$ to binary in signed magnitude

I'm supposed to covert hexadecimal value, $8D(16)$ into $8$-bit binary if signed magnitude representation is used. $8D(16)$ $to$ $1000$ $1101(2)$ For signed magnitude, the...

Asked on 02/17/2021 by Zamir Ibrahim

1 answer

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