The awnser to this problem is either 12 or 7 by using multiplication or addition
Step-by-step explanation:
- To find the E(X) expected value, you come up with the different probabilities for each outcome
- your set of outcomes after 3 tosses would be = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H is heads and T is tails
- Each element has a probability of 1/8 so let x represent number of tails
- The E(x)=Summation (x times P(x))
- Now which probability is 1.5 tails? None, so it is either 2 tails or 1 tails
- So you can expect to lose money in 1 game
- But as you play more games the probability of getting 3 tails becomes more and more likely, so you can expect to win in a 100 games
Solve for x:
x^9 = n x
Subtract n x from both sides:
x^9 - n x = 0
Factor x and constant terms from the left hand side:
-x (n - x^8) = 0
Multiply both sides by -1:
x (n - x^8) = 0
Split into two equations:
x = 0 or n - x^8 = 0
Subtract n from both sides:
x = 0 or -x^8 = -n
Multiply both sides by -1:
x = 0 or x^8 = n
Taking 8^th roots gives n^(1/8) times the 8^th roots of unity:
Answer: x = 0 or x = -n^(1/8) or x = -i n^(1/8) or x = i n^(1/8) or x = n^(1/8) or x = -(-1)^(1/4) n^(1/8) or x = (-1)^(1/4) n^(1/8) or x = -(-1)^(3/4) n^(1/8) or x = (-1)^(3/4) n^(1/8)
Answer:
0.14
Step-by-step explanation:
14% describes 14 out of 100. It is written as 14 in the numerator and 100 in the denominator of a fraction. A percent is always written as the number over 100 as a fraction. “Out of 100” refers to the decimal place “hundredths.” 14% is 14 hundredths.
