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$${\frac{{\left({\frac{{\mathtt{50}}{!}}{{\mathtt{5}}{!}{\mathtt{\,\times\,}}({\mathtt{50}}{\mathtt{\,-\,}}{\mathtt{5}}){!}}}\right)}}{\left(\left({\frac{{\mathtt{6}}}{{\mathtt{8}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{5}}}{{\mathtt{7}}}}\right)\right)}} = {\mathtt{3\,955\,018.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

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Formel für die Anzahl "5 Richtige aus 50" Möglichkeiten: (Binomialkoeffizient)

$${\left({\frac{{\mathtt{50}}{!}}{{\mathtt{5}}{!}{\mathtt{\,\times\,}}({\mathtt{50}}{\mathtt{\,-\,}}{\mathtt{5}}){!}}}\right)}$$

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Jetzt zu der Wahrscheinlichkeit genau 0 Treffer bei 2 aus 8 zu erziehlen. Also weder einen, noch zwei Treffer.

Setzen erstes Kreuz:  6 von 8 Felder können getippt werden ohne einen Treffer zu erziehlen.

Setzen zweites Kreuz:  5 von 7 Felder können getippt werden ohne einen Treffer zu erziehlen. (Ein Feld ist durch das Tippen im vorherigen Schritt nicht weiter zu berücksichtigen)

Zusammen:
$$\left({\frac{{\mathtt{6}}}{{\mathtt{8}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{5}}}{{\mathtt{7}}}}\right) = {\frac{{\mathtt{15}}}{{\mathtt{28}}}} = {\mathtt{0.535\: \!714\: \!285\: \!714\: \!285\: \!7}}$$

This calculator has a built-in unit converter, try these inputs:

1GB in MB

2.3GB / (250[kbits/s]) in hours

1GB in Byte

Dieser Rechner kann auch mit Einheiten rechnen..

Eingabe:  0.63Stunden in Minuten

10e6 is already a valid input:

$${\mathtt{1\times 10^{7}}}$$

Hi rosala,

Thanks. The messagecenter is still under development, e.g. a "reply" feature will come soon

bye

Hi,

welcome to the forum!

with  $${\sqrt{\left({\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right){\mathtt{\,\times\,}}{\mathtt{x}}}} = \left({\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right){\mathtt{\,\times\,}}{\sqrt{{\mathtt{x}}}}$$ your input is equal to:

$${\sqrt{{\mathtt{x}}}}{\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right){\mathtt{\,\times\,}}{\sqrt{{\mathtt{x}}}} = {\mathtt{30}}$$

$${\sqrt{{\mathtt{x}}}}{\mathtt{\,\times\,}}\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right) = {\mathtt{30}}$$

$${\sqrt{{\mathtt{x}}}} = {\frac{{\mathtt{30}}}{{\mathtt{1.5}}}}$$

$${\sqrt{{\mathtt{x}}}} = {\mathtt{20}}$$

x = 20^2 = 400

Hi Melody,

(log(sqrt(10)+1))^2=

log(sqrt(10)+1)^2

These are different questions and the second one is incorrect.

What result would you expect?