Solution -
The probability of getting 6 from a single roll of a fair dice = 
The probability of getting any other number rather than 6 would be 
So when the outcome is 6, then he wins $5 ,otherwise he has to pay $2
So
E(X) = Expectation value = 
( ∵ $5 gain so +ve and $2 loss so -ve)
=
∴ So Merrill will lose 
dollar
As relative coordinates are asked so
8,-6 are the answer and each line is value of 2
5.5 ( 8 - x ) + 44 = 104 - 3.5 ( 3x + 24 )
Distribute 5.5 through the parenthesis.
44 - 5.5x + 44 = 104 - 10.5x - 84
Add the numbers.
88 - 5.5x = 20 - 10.5x
Move variable to the left side and change its sign.
88 - 5.5x + 10.5x = 20
-5.5x + 10.5x = 20 -88
Collect like terms.
5x = 20 - 88
Calculate the sum or difference.
5x = - 68
Divide both sides by 5.
x = - 68 / 5
Answer:
Sarah spent 45.76
Jack spent 38.16
Jack spent more on tax
Step-by-step explanation:
Sarahs game costs:
tax = 44 *.04 = 1.76
Total cost = game + tax
= 44 + 1.76
=45.76
Jacks game costs:
tax = 36 *.06 = 2.16
Total cost = game + tax
= 36 + 2.16
=38.16
Jack spent more on tax
<span>product of (3.7 × 104) and 2
</span>
answer is A.) 7.4 × 104
