Answer: Expected value of playing the game is $0.
Step-by-step explanation:
Since we have given that
Total number of colored chips = 20
Number of blue chips = 2
Number of purple chips = 4
Number of green chips = 7
Number of red chips = 7
Amount of prize he gets for blue chip = $10
Amount of prize he gets for a purple chip = $5
No amount is given for red or green
Amount he had to pay = $2
So, Expected value of playing the game is given by
Hence, Expected value of playing the game is $0.
Step-by-step explanation:
Ok. First of all, we need to follow the order of operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. We don't have any parentheses, exponents, or division to resolve, so you can skip those. So now you have: Multiplication, Addition, and Subtraction. We have multiplication in each term, but each term is fully simplified, so we have Addition and Subtraction left.
With that out of the way, let's go ahead and rearrange this equation so it is easier to solve. (<em>Note: we can only rearrange terms that are positive because subtraction is not commutative. But we can turn negative terms into "positive" terms by the method shown below.</em>)
4a - 7b + 2ab - a + b
4a + (-7b) + 2ab + (-a) + b (<em>Now the terms are all positive, so we can rearrange them, but they still have the same value.</em>)
4a + (-a) + 2ab + (-7b) + b
3a + 2ab + 7b
And there we go. Our answer is fully simplified. If you can understand this, you'll be able to simplify without isolating and rearranging the terms each time.
Hopefully this was helpful and not confusing.
Answer:
6
Step-by-step explanation:
(g o f)(3) = g(f(3))
We can find f(3) using its formula with x=3:
f(3) = -2·3 +8 = -6 +8 = 2
Now, we can find g(2) using its formula with x=2:
g(2) = 3·2 = 6
So, the composition value is ...
(g o f)(3) = 6
Answer:
If your polynomial is x^2+x-30, then your answer is (−5)(+6)
Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = 
- 
= 
-
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
--------------------------------------------------------
The n th term of an arithmetic sequence is
= + (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39
