Yes the triangles are similar
Center : Mean Before the introduction of the new course, center = average(121,134,106,93,149,130,119,128) = 122.5 After the introduction of the new course, center = average(121,134,106,93,149,130,119,128,45) = 113.9 The center has moved to the left (if plotted in a graph) because of the low intake for the new course. Spread before introduction of the new course : Arrange the numbers in ascending order: (93, 106,119, 121), (128, 130,134, 149) Q1=median(93,106,119,121) = 112.5 Q3=median(128,130,134,149) = 132 Spread = Interquartile range = Q3-Q1 = 19.5 After addition of the new course,
(45,93, 106,119,) 121, (128, 130,134, 149)
Q1=median(45,93,106,119)=99.5
Q3=median (128, 130,134, 149)= 132
Spread = Interquartile range = 132-99.5 =32.5
We see that the spread has increased after the addition of the new course.
180=(12x+8)+(8x+12)
180=20+20x
-20. -20
160=20x
20. 20
X=8
B)8
A will represent Anna. k will represent Kylie.
7a+7k=231
a=9+k
Substitute for a
7(9+k)+7k=231
63+7k+7k=231
14k=168
k=12
Then plug in the k value
a=9+12
a=21
Final answer: Anna=21 mph, Kylie= 12 mph
