Step 1: Understanding Metric Conversions.
1 decimetre (dm) is equal to 100 millimetres (mm) in the metric system. This is a simple conversion where 1 decimetre is one
-tenth of a metre, and 1 metre is 1000 millimetres. So, 1 decimetre is 100 millimetres.
Step 2: Verifying the Options.
- Option (1): 1 decimetre equals 100 millimetres, making this the correct answer.
- Option (2): 200 millimetres is incorrect.
- Option (3): 50 millimetres is incorrect.
- Option (4): 150 millimetres is incorrect.
Conclusion:
Therefore, the correct answer is (1) 100.
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.