Answer:
Step-by-step explanation:
answer for part A-
2nd row- if 40 degrees=8 students, then 120 ;(40 *3) degrees = 8 * 3 =24 students :)
4th row- if previously 40 degrees=8 students, 1 student = 40/ 8= 5 degrees
therefore 15 students = 5 * 15 =75 degrees
3rd row is 360-(40+120+75) degrees = angle of orienteering because angles at a point add up to 360 degrees
3rd row angle = 125 degrees
with previous 1 student = 5 degrees, x students = 125 degrees
x= 125/5 = 25 students
for part B:
measure and mark the 125 degrees taken for orienteering
:D hope this helped! (dunno C part sorryy)
Answer:
Original Activity: Orienteering
New Activity: Kayaking
Step-by-step explanation:
Let's first find out the current modal group
We see that there are 8 students who go for swimming and comprise 40° of the pie circle.
Since there are 360° in a circle, 40° = 40/360 = 1/9 of the total number of students
If the total number of students is represented by X then this means
(1/9) X = 8
Multiplying both sides by 9 gets rid of the denominator on the left side and provides a value for X, the total number of students
(1/9)X × 9 = 8 × 9
giving
X = 72 total students
The sector angle for Kayaking is 120° which is 3 times the number of students taking swimming.
So number of students taking kayaking is 3 x 8 = 24
So total number of students taking swimming, kayaking and wall climbing = 8 + 24 + 15 = 47
The remaining students must be taking orienteering. Therefore number of students taking orienteering = 72 - 47 = 25
This represents an angle of 25 / 72 * 360 = 125°
(In order to avoid intermediate decimal results first multiply 25 x 360 -> 9000. Then divide by 72 giving 9000/72 = 125°)
We can see that orienteering is the modal activity
In descending order of number of students taking each activity:
Orienteering 25
Kayaking 24
Wall Climbing 15
Swimming 8
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Total 72
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If only one student changes activity to create a new nodal activity it is obvious that the student has to switch from Orienteering to Kayaking which are the two highest values
There will be now be one student less in Orienteering dropping from 25 to 24
and
One student more in Kayaking increases from 24 to 25
The new values will be
Activity No students(N) Angle of sector(N/72 * 360)
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Swimming 8 40° (8 * 360 / 72)
Kayaking 25 125° (25 * 360 /72)
Orienteering 24 120° (24 * 360/72)
Wall Climbing 15 75° (15 x 360/72)
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Totals 72 360°
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