Answer:
The area of the sector shown is 4.75 pi
Step-by-step explanation:
First we have to know what fraction of the total circle that part represents
for that we divide 45 by 360
45/360 = 1/8
now we calculate the area of the circle and divide it by 8
a = ( π * 6² ) / 8
a = ( π * 36 ) / 8
a = π * 4.75
a = 4.75 pi
Im not sure about the given data but I plotted the scatter plot based on what I understand on how the data should be presented.
Time (years)
3, 6, 9, 12, 15, 18, 21, 24
Number of participants(x1000)
22, 25, 28, 14, 17, 20,15, 9
Attached is the scatter plot created online.
x = time (years)
y = number of participantep explanation
The probability is 0.9671.
The z-score for this is given by
z = (x - μ)/(σ/√n)
z = (38000-37500)/(1561/(√33)) = 1.84.
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, this is 0.9671.
It has C. Rotational.... 180 degree rotational symmetry
