Tess randomly selects a color tile from a bag and then rolls a fair, six-sided die. The table below shows the sample space for the
possible outcomes.
Red, 1
Red, 2
Red, 3
Red, 4
Red, 5
Red, 6
Yellow, 1
Yellow, 2
Yellow, 3
Yellow, 4
Yellow,5
Yellow, 6
Green, 1
Green, 2
Green, 3
Green, 4
Green, 5
Green, 6
Blue, 1
Blue, 2
Blue, 3
Blue, 4
Blue, 5
Blue, 6
Match the probabilities with the correct events.
0.083
P(Yellow or Blue, 5)
P(Red, Yellow, or
Green, Even Number)
0.375
P(Red, Prime Number)
0.333
0.167
0.750
P(Odd Number)

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.