The modal and mean mark of the frequency distribution is 5 and 4.83 respectively.
<h3>Mean and mode</h3>
Mode refers to a mark which reoccurs most in a frequency distribution.
The total number of students who wrote the test = 2 + 3 + 4 + 6 + 10 + 4 + 3 + 2 + 1 + 1
= 36 students
Mean mark = Total mark / Total students
= (2×1) + (3×2) + (4×3) + (6×4) + (10×5) + (4×6) + (3×7) + (2×8) + (1×9) + (1×10) / 36
= (2+6+12+24+50+24+21+16+9+10 / 36
= 174/36
= 4.83333333333333
Approximately,
Mean mark = 4.83
If 25% of students failed,
Number of students who failed = 25% of 36
= 25/100 × 36
= 0.25 × 36
= 9 students.
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Answer:
7 units
Step-by-step explanation:
Please refer to the image attached with this answer.
Our initial line was CD joining points (-1,2) and (6,2).
It is now pulled down by 4 units , to new points
(-1,-2) and (6,-2)
Now we again shift this line by 2 units to the left. The new coordinates thus would be C'(-3,-2) and D'(4,-2)
Hence the distance C'D' = 4-(-3) = 4+3 = 7 UNITS
Hence the length of the line will be 7 units.
It is observed that the length of the line segment remains the same as it was of the original line. as the translation is uniform.
Answer:
Step-by-step explanation:
Answer:

Step-by-step explanation:
We will prove this with the help of a contradiction:
Let as assume that 
Multiplying both sides by 

which is not possible.
Hence, our assumption was wrong which led us to a contradiction.
Thus,

36 students............................................