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Find the median on the given data. What is the mode?

Mathematics

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Here are the solutions to the questions:

Part 4

  • 4.2.1. Find the median on the given data. The data for this question is not provided in the image. Therefore, the median cannot be determined.

  • 4.2.2. What is the mode. The data for this question is not provided in the image. Therefore, the mode cannot be determined.

Part 5· 6 steps

  • 5.1. A rectangle has 4 right angles, what type of angles are found on a parallelogram? A parallelogram has two pairs of equal angles. These are typically acute angles and obtuse angles.

    acute angles and obtuse angles\boxed{\text{acute angles and obtuse angles}}

  • 5.2. Using a pair of compass, draw a circle. This question requires a drawing. To draw a circle using a compass, place the compass point at the desired center, open the compass to the desired radius, and rotate the compass to draw the circle.

  • 5.3. Peter started doing his home works at 19h45, if he spent 1121\frac{1}{2} hours doing his home works, at what time did he finish?

  1. Convert the duration to hours and minutes.

    $$
1\frac{1}{2} \text{ hours} = 1 \text{ hour and } 30 \text{ minutes}
$$

  2. Add the duration to the start time.

    $$
19 \text{h } 45 \text{ min} + 1 \text{ h } 30 \text{ min}
$$

  3. Add the minutes

    45+30=7545 + 30 = 75 minutes.

  4. Convert 75 minutes to hours and minutes

    75 minutes=1 hour and 15 minutes75 \text{ minutes} = 1 \text{ hour and } 15 \text{ minutes}.

  5. Add the hours

    19 h+1 h+1 h (from minutes)=21 h19 \text{ h} + 1 \text{ h} + 1 \text{ h (from minutes)} = 21 \text{ h}.

  6. Combine the hours and remaining minutes.

    $$
\text{Finish time} = 21 \text{h } 15 \text{ min}
$$
$$
\boxed{\text{21h15}}
$$
    • 5.4. Complete the table For a Triangular prism:
      • 5.4.1. Number of faces: A triangular prism has 2 triangular bases and 3 rectangular lateral faces. 2+3=5 faces2 + 3 = 5 \text{ faces} 5\boxed{\text{5}}
      • 5.4.2. Shape of base: The base of a triangular prism is a triangle. Triangle\boxed{\text{Triangle}}
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