Charles Darwin is renowned for proposing the theory of Natural Selection, which provides a scientific explanation for the mechanism of evolution. According to this theory, species evolve over time through a process in which individuals with traits better suited to their environment have a higher chance of surviving and reproducing. These advantageous traits are then passed on to future generations, gradually leading to adaptation and the emergence of new species.
Darwin’s theory revolutionized biology by providing a natural explanation for the diversity of life on Earth and forming the foundation of modern evolutionary biology.
Find the unknown frequency if 24 is the median of the following frequency distribution:
\[\begin{array}{|c|c|c|c|c|c|} \hline \text{Class-interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 \\ \hline \text{Frequency} & 5 & 25 & 25 & \text{$p$} & 7 \\ \hline \end{array}\]
Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.