A golfer recorded the following scores for each of four rounds of golf: 86, 81, 87, 82. The mean of the scores is 84. What is th
2 answers:
Answer:
26
Step-by-step explanation:
The average of a collection of numbers is termed the mean; it is obtained by dividing the total sum of the numbers by the count of numbers.
The standard deviation reflects how much a set of numbers varies from the mean. A low standard deviation indicates that the values are close to the mean, while a high standard deviation suggests they are more dispersed. The formula for standard deviation is:
Taking into account the figures:
86, 81, 87, 82. mean = μ = 84
Sum of squared deviations = 26
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Answer:
To identify the critical point, we set the derivative equal to zero, resulting in:
Calculating the second derivative yields:
This indicates that t = 3.4375 marks the minimum value for the function. Substituting this back into the original function gives us:
Thus, the minimum annual income is found at t = 3.43 (between the years 2008 and 2009), with a value of 25.094
Step-by-step explanation:
In this scenario, we have the function:
Where P represents the annual net income from 2007-2011, and
t is the number of years since early 2005
To discover the lowest income, we utilize the derivative given by:
Setting this derivative to zero allows us to find the critical point, leading to:
Calculating the second derivative reveals:
Therefore, we conclude that t = 3.4375 is the minimum value, substituting into the original function results in:
Thus, the minimum annual income occurs at t = 3.43 (between 2008 and 2009) with the value being 25.094
Answer:
Three customers purchased all three newspapers.
Step-by-step explanation:
Let D, O, and N stand for the three newspapers.
D = The Daily Times
O = The Observer
N = The New Nigeria.
According to the provided information,
We can deduce that:
Applying this formula, we discover
Hence, three customers bought all three papers.