Step 1: Understanding the Metric System.
1 millimetre (mm) is one
-thousandth of a metre, meaning: \[ 1 \, \text{mm} = \frac{1}{1000} \, \text{metre}. \] Step 2: Verifying the Options.
- Option (1): One millimetre is one
-thousandth of a metre, making this the correct answer.
- Option (2): A tenth is 0.1, which is a centimetre (1 cm = 10 mm).
- Option (3): A hundredth is 0.01, not millimetre.
- Option (4): Fiftieth is incorrect.
Conclusion:
Therefore, the correct answer is (1) Thousandth.
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.