A spinner is divided into 6 equal sections. 3 are red, 2 are blue and 1 is green.
a) In 42 spins, how many of each colour would you expect to spin?
b) After 72 spins, the red result was 1/6 lower than expected, the blue result was 1/12 higher than expected and the green result was 1/3 higher than expected. How many of each colour was spun?
Enabling - How many in ¼, ½

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4