Answer: a) 
Step-by-step explanation:
Since we have given that
Number of red marbles = 3
Number of yellow marbles = 4
Number of green marbles = 6
Total number of marbles = 3 +4 +6 = 13
a) the marble is red?
Probability of getting a red marble = 
b) the marble is not yellow?
Probability of not getting yellow = 
c) the marble is either red or green?
Probability of getting either red or green = P(red) + P(green) =
d) the marble is neither red nor green?
Probability of getting neither red nor green = P(getting yellow) = 
Hence, a) 
<span>On an indifference curve, all bundles give the same amount of utility. (32,8) gives a utility of
U(32,8)=32x8=256
If (4,y) is on the same indifference curve, then it must give the same utility. Hence,
256 = 4y
y=64
64 bananas</span>
5.76 because the hundredths place is two spaces to the right of the decimal point.
F(x) = {(8, 3), (4, 1), (0, -1), (-4, -3)}
f(x) = ¹/₂x - 1
f(x) = ¹/₂x - 1
y = ¹/₂x - 1
x = ¹/₂y - 1
+ 1 + 1
x + 1 = ¹/₂y
2(x + 1) = 2(¹/₂y)
2(x) + 2(1) = y
2x + 2 = y
2x + 2 = f⁻¹(x)
2x + 2 = g(x)
g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)}
g(x) = 2x + 2