•you roll two standard number cubes.
what is the probability of rolling a 3 on
one cube, but not both cubes?

5/18

Step-by-step explanation:

There are two ways this can happen: you roll a 3 on the first cube and not a 3 on the second cube, or you roll not a 3 on the first cube and 3 on the second cube.

P = (1/6)(5/6) + (5/6)(1/6)

P = 5/36 + 5/36

P = 10/36

P = 5/18

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

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.