A random survey of 30 students found that 17 played a musical instrument. If the school has 450 students, predict how many do no
1 answer:
Given:
A random survey of 30 students found that 17 played a musical instrument.
Total number of students = 450
To find:
Estimated number of students who do not play an instruments.
Solution:
A random survey of 30 students found that 17 played a musical instrument.
Let E be the event that student play an instrument.
So, probability that a student plays an instrument is
Probability that a student do not play an instrument is
Now, number of students who do not play an instruments is
Therefore, 195 students do not play an instrument.
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<h2>Answer:</h2>
The ratio of the area of region R to the area of region S is:
The sides of R are in the ratio : 2:3
Let the length of R be: 2x
and the width of R be: 3x
i.e. The perimeter of R is given by:
( Since, the perimeter of a rectangle with length L and breadth or width B is given by:
)
Hence, we get:
i.e.
Also, let " s " denote the side of the square region.
We know that the perimeter of a square with side " s " is given by:
Now, it is given that:
The perimeters of square region S and rectangular region R are equal.
i.e.
Now, we know that the area of a square is given by:
and
Hence, we get:
and
i.e.
Hence,
Ratio of the area of region R to the area of region S is: