For the first three balls that are chosen, the probability would be found by the following expression: 9/15*8/14*7/13 = 12/65 The numerator decreases since the number of new balls is decreasing with each one that is removed. The denominator decreases since the total number of tennis balls in the box is being decreased. For the second time that balls are chosen, the following expression is used: 6/15*5/14*4/13 = 10/273 The numerator starts with 6 since there are now fewer balls that are unused due to the ones previously have been used. These two fractions are then multiplied to find the total probability that none of the 6 balls were used. 12/65*10/273 = 8/1183
Step-by-step explanation:
see the photo for explanation
Step-by-step explanation:
since both cords are equal, so are arc length
4x + 18 = 7x - 51
3x - 21 = 0
x = 7
arc RS = 4(7) + 18
Answer:
4(3+2)
Step-by-step explanation:
Write using order of operations
Volume of a cone = (1/3) pi x r^2 x h
Volume of a cylinder = pi x r^2 x h
Volume of the cylinder = pi x 2^2 x 3 = 37.68 cubic inches
Now set the volume for the cone to the volume of the cylinder and solve for the height.
37.68 = (1/3) x pi x r^2 x h
37.68 = (1/3) x pi x 3^2 x h
37.68 = (1/3) x pi x 9 x h
37.68 = 9.42 x h
h = 37.68 / 9.42
h = 4
The height of the cone is 4 cm.
