Anna has a collection of 45 nickels and quarters worth $8.05. How many nickels does she have?
1 answer:
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Using the Empirical Rule and the Central Limit Theorem, we have that:
- About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
- About 99.7% of the sample mean fall with in the intervals $1.46 and $2.
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
In this problem, the standard deviation of the distribution of sample means is:
68% of the means are within 1 standard deviation of the mean, hence the bounds are:
- 1.73 - 0.09 = $1.64.
- 1.73 + 0.09 = $1.82.
99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:
- 1.73 - 3 x 0.09 = $1.46.
- 1.73 + 3 x 0.09 = $2.
More can be learned about the Empirical Rule at brainly.com/question/24537145
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Answer: s = 36
Step-by-step explanation: The key to solving multistep equations is isolating the variable. This is why I first subtracted 14 on each side. This left me with 1/3s=12. Then, to isolate "s" even more, I didvided by 1/3 on each side. This gave me s = 36 as an answer.
To divide by a fraction, use "keep change flip." Keep the first mumber, change division to multiplication, and flip the fraction. I included a picture of me doing this.
If you have any other questions, please feel free to ask :)
