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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How many calories is each trail mix? Once you get that number, divide 1000 by it.
Answer:
No, they don't
Step-by-step explanation:
Two cylinders are formed. The volume of a cylinder takes into account its height and the area of its base. A nickel has a greater diameter than a penny, then, the nickel stack has a greater area of its base, and therefore it has a greater volume.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

This is a vertical parabola open upward
The vertex is a minimum
step 1
Find the x-intercepts
The x-intercepts are the values of x when the value of the function is equal to zero
For f(x)=0

Factor x

The x-intercepts are (0,0) and (-4,0)
step 2
Find the y-intercept
The y-intercept is the values of the function when the value of x is equal to zero
For x=0

The y-intercept is (0,0)
step 3
Find the vertex
Convert the equation into vertex form

Complete the square

Rewrite as perfect squares

The vertex is the point (-2,-4)
therefore
using a graphing a graphing tool
The graph in the attached figure
Answer:
it looks like it reaches 265 feet