# All Questions

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### Recursive Equation.

We have a recursive function: $$a_n = Aa_{n-1} + Ba_{n-2}$$ We assume that $x ^ n = a_n$ From this equality quadratic equation we have two solutions $$\alpha, \beta, \alpha \neq \beta$$ In that ...
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### Confidence interval - No sample

"According to thorough measurements, the average waiting time at a restaurant is normally distributed with an average of $28$ minutes and a standard deviation of $5$ minutes. Calculate a $95\%$ ...
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Consider $V=\bigotimes^3(\mathbb{C}^2)$ as a $\mathfrak{S}_3$ representation. One of its isotypical component is $S^3(\mathbb{C}^2)$, which is a linear subspace of symmetric tensors of ...
In triangle $\triangle ABC$, $AB=5,BC=6$ and $AC=7$. The circle with diameter $AB$ intersects $BC$ at $D$, ($D$ doesn't equal to $B$). Compute $BD$.