Withdrawing $10 every week from an outstanding balance of $400
2 answers:
Answer:
.
Step-by-step explanation:
Let w represent the number of weeks.
We are supposed to write an expression for the given word phrase.
Since the with-drawl amount is $10 per week, so amount withdrawn in w weeks would be .
The amount left after w weeks would be $400 minus .
Therefore, our required expression would be .
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Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
For this case we select a sample of n =100
From the central limit theorem we know that the distribution for the sample mean is given by:
So then the sample mean would be:
And the standard deviation would be: