Answer:
The casino should charge for this game at least $1 to break even.
Step-by-step explanation:
We can define the prize function as
where M is the prize money and n is the number of tails in continous flips.
The probability of n consecutive tails can be calculated as 
. The probaility of getting a head after the n consecutive tails is 
, so the probability of having n consecutive tails and a head is 
Then we can calculate the expected value of M as
The expected money prize for this game is $1, so the casino should charge to play at least $1 to break even.
The fraction is equivalent to 0.6
Answer:
Blank 1: (-7,0)
Blank 2: (-1,0)
Step-by-step explanation:
Plug x=0 into the equation and solve the resulting equation y=7 for y
Plug y=0 into the equation and solve the resulting equation 0=(x+1)(x+7) for x
First, change the percentage to a decimal, by moving the decimal point to the right twice (from the farthest left).
Then multiply the numbers together.
finally, if you need it as a percentage, move the decimal point to the left two decimal places, and you get your percentage again (round if necessary)
hope this helps
For this case what you should know is that all functions tend to infinity when x tends to infinity.
However, there are functions that grow faster than others.
In this case, the function that grows fastest is the one with the highest exponent.
We have then:
g (x) = 5x ^ 500
The exponent of 500 makes the function grow to infinity faster than the other functions.
Answer:
C) g (x) = 5x500
