Step 1: Understanding metric units
The metric system defines the following:
- 1 meter = 10 decimeters
- 1 meter = 100 centimeters
Therefore, \[
1 \text{ decimeter} = \frac{100}{10} = 10 \text{ centimeters}
\]
Step 2: Check all options
- (A) 15 cm — Incorrect
- (B) 20 cm — Incorrect
- (C) 40 cm — Incorrect
- (D) 30 cm — Incorrect
None of the options match the correct value of \(10 \text{ cm}\).
\[
\boxed{\text{Correct Answer: None of the above (should be 10 cm)}}
\]
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.