F(x) = (√ x +6) +8
f(x-1) = (√ x-1 +6) -8
=(√x+5) -8
Answer:
The probability that she wins exactly once before she loses her initial capital is 0.243.
Step-by-step explanation:
The gambler commences with $30, i.e. she played 3 games.
Let <em>X</em> = number of games won by the gambler.
The probability of winning a game is, <em>p</em> = 0.10.
The random variable <em>X</em> follows a Binomial distribution, with probability mass function:

Compute the probability of exactly one winning as follows:

Thus, the probability that she wins exactly once before she loses her initial capital is 0.243.
Answer:
62 miles
Step-by-step explanation:
The formula for average is given as
Sum of values / Number of values
Let x = miles on the last day
Hence
48 + 51 + 59 + x/4 = 55
Cross Multiply
= 158 + x = 220
x = 220 - 158
x = 62
Therefore, he needs to bike 62 miles on the last day so that his average (mean) is 55 miles per day.