A dormitory has 40 students---12 sophomores, 8 juniors, and 20 seniors. Which of the following is equal to the number of ways to
1 answer:
Answer:
The number of arrangements is equal to
Step-by-step explanation:
The multiplication principle states that if a first task can be done in n1 different ways, a second task can be performed in n2 different ways... and extending this logic for i tasks gives us the total ways as
n1 x n2 x... x ni
Moreover, with n-elements arranged in a line, the total arrangements possible are n! which is referred to as n-factorial.
As an example: If we wish to arrange 4 distinct items in a row.
The total ways to arrange this is ways.
Applying the multiplication principle and n-factorial number:
The number of ways to line up all 40 for a photograph, with all 12 sophomores to the left, all 8 juniors in the center, and all 20 seniors to the right is: The total configurations for the 12 sophomores in a row multiplied by the arrangements for the 8 juniors and finally multiplied by the total ways to align all 20 seniors in a row ⇒
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Answer:
The proportion of the population that attempted to stop smoking is 0.8239.
Step-by-step explanation:
In the problem, we are provided with the following details:
Total sample size, n = 142
Individuals who attempted to quit smoking = 117
Parameter:
- A parameter represents a numerical descriptor of a population.
The calculation for the population proportion is as follows:
The proportion of the population that attempted to stop smoking is 0.8239.
8 out of 300 were defective.
That corresponds to 80 pairs being defective
The expression indicates that the total earnings of Mike over the two weeks amount to 2.05x dollars
Solution:
It is given that Mike earned x dollars during the first week at his new job,
While in the second week, he earned 5% more than the earnings of the first week.
To determine: Total earnings over the two weeks
From the information provided,
Earnings in the first week = "x" dollars
Earnings in the second week = 5% more than first week earnings
Thus,
Earnings in the second week = x + 5% of x
Therefore, earnings in the second week equal to 1.05x dollars
The total earnings over the two weeks:
Total earnings = Earnings from first week + Earnings from second week
Thus, the expression for the total earnings of Mike for both weeks is 2.05x dollars