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Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
The expected value of the game is $8.75.
----------------------
- The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The probability of spinning a 2 and a vowel is:
. - Thus,
probability of getting $50.
- The probability of spinning 2 and a consonant is:

- Thus,
probability of getting $25.
- The probability of spinning 1 and a vowel is:
. - Thus,
probability of getting $5.
- 32 - (6 + 6 + 2) = 18, thus,
probability of earning $0.
The expected value is:




The expected value of this game is of $8.75.
A similar problem is given at brainly.com/question/24961584
I am learning this right now but in two hours I will tell you
The expected value of the game is $2.00.
To Find: The fair price to pay to play the game of rolling a colored die with three red sides, two green sides, and one blue side
Now the question arises how to find the Fair Price
We are told that in the game of rolling the colored die;
A roll of a red loses.
A roll of blue pays 5.00 and A roll of green pays 2.00.
Now, the best game to get the fairest price is to play; RRRGGB i.e (RED, RED, RED, GREEN, GREEN,BLUE)
Fair price = 2(3/6) + 6(1/6) + 0(2/6)
Fair price = $2
Read more about Fair Price at; brainly.com/question/24855677
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The line that is perpendicular to the line on the graph is y=3