Multiplication property: if angle j equals 30 then 2m angle j equals
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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.
Given:
A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution.
To find:
The quantity of the 60% solution in the mixture.
Solution:
Let x be the quantity of the 60% solution and y be the quantity of the 21% solution.
Quantity of mixture is 234. So,
...(i)
The mixture has 43% fertilizer. So,
Multiply both sides by 100.
...(ii)
Using (i) and (ii), we get
Divide both sides by -39.
Putting this value in (i), we get
Therefore, 132 liters of the 60% solution must be used.