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Answer:
Probability of getting Dr. Pepper the fourth time =
Probability of getting a cherry coke the fifth time =
Combined probability =
Step-by-step explanation:
Formula for probability of an event E can be observed as:
It is given that first time a Cherry coke is chosen and it is not replaced.
So, number of cherry coke left = 2
Dr. Pepper is chosen twice and is not replaced, so
Number of Dr. Pepper left = 3 - 2 = 1
Total number of soda left = 10 - 3 = 7
So, probability of getting Dr. Pepper the fourth time =
Now, total number of soda left = 7 - 1 = 6
Probability of getting a cherry coke the fifth time =
The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time
The equation to show the depreciation at the end of x years is
Data;
- cost of machine = 1500
- annual depreciation value = x
This is an equation written to represent a word problem into mathematical statement and this is easier to solve.
To write a linear depreciation model for this machine would be
For number of years, the cost of the machine would become
This is properly written as
where x represents the number of years.
For example, after 5 years, the value of the machine would become
The value of the machine would be $500 at the end of the fifth year.
From the above, the equation to show the depreciation at the end of x years is f(x) = 1500 - 200x
Learn more on linear equations here;