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Moko19
  • Member for 3 years, 8 months
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12 votes
Accepted

Probability that new baby born is a boy in a nursery

6 votes
Accepted

Show that $\cos\big(\frac{2\pi}{n}\big)$ is an algebraic number

4 votes
Accepted

Derive$~\frac{1}{2}\left\{\sin\left(2\alpha+\beta\right)+\sin\left(\beta\right)\right\}~$from$~\sin\left(\alpha+\beta\right)\cos\left(\alpha\right)$

3 votes

How I get the nth derivative of the function $y = e^x x^2$

3 votes

Probability of 5 people choosing a unique person randomly

3 votes
Accepted

Find The Probability of Quadratic having imaginary roots

3 votes
Accepted

Is there a preference between writing complex numbers as $z=a+bi$ or $z=a+ib$?

3 votes

Maximum number of 2 digit integers

3 votes

A combinatorial chessboard strategy-game 2 players

3 votes

Distributing $5$ different balls to $4$ different persons

3 votes

Distributing $5$ different balls to $4$ different persons

3 votes

$f(x+y)=f(x)+f(y)+99$, $f(100)=101$, find $f(7)$.

3 votes

$2$-girl problem with bias of $P(G) = 0.75$ and $P(B) = 0.25$

3 votes
Accepted

Let $(m,n)$ be the pair of integers satisfying $2(8n^3 + m^3) + 6(m^2 - 6n^2) + 3(2m + 9n) = 437.$ Find the sum of all possible values of $mn$.

2 votes
Accepted

If $a$,$b$ and $y$ are the roots of $3x^3+8x^2-1=0$ find $(b+1/y)(y+1/a)(a+1/b)$

2 votes
Accepted

If $f(x)$ is differentiable for all real numbers, then what is the value of $\frac{a+b+c}{2}$?

2 votes

Find derivative of $\ln{\frac{\sqrt{1-\sin x}}{\sqrt{1 + \sin x}}}$

2 votes
Accepted

How one can get an estimate or a range for the integer $n$

2 votes

Solutions check. Find $\int_{-b}^{b} \Big( \frac{1}{t + ix} - \frac{1}{t - ix} \Big) dt$

2 votes
Accepted

the equation $9x^2 +2xy +y^2 -92x - 20y +244 =0$

2 votes

Find quintic roots of $x^ 5 = 1$

2 votes

Maximum number of members in the math club

1 vote

Product of primes below some number $n$

1 vote

Solve $\int_{1}^{x} \frac{dt}{f'(t)+3} = \frac{1}{x} + x^2 -2$ for $f(x)$

1 vote

An intriguing question about classical probability

1 vote

A paradox in probability

1 vote

What causes Type I Errors and Type II Errors to occur?

1 vote

Calculating odds with an extra draw as a possible outcome

1 vote
Accepted

Locate and classify the singularity of $\frac{e^{z-1}-1}{z^4-1}$

1 vote

Finding the optimal strategy for a Payoff matrix of 3x3 that can't be reduced