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Ostrovityanka [42]
3 years ago
6

If ashley receives 150 dimes from her grandfather how many nickels did she save?

Mathematics
2 answers:
olga2289 [7]3 years ago
8 0

Ashely has 30 nickles.

-Dominant- [34]3 years ago
7 0

Answer:

If Ashley would receive 150 dimes from her grandfather she would have 30 nickels.



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An article suggests that substrate concentration (mg/cm^3) of influent to a reactor is normally distributed with μ = 0.60 and σ
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Answer:

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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".  

Part a

Let X the random variable that represent the substrate concentration of a population, and for this case we know the distribution for X is given by:

X \sim N(0.6,0.08)  

Where \mu=0.6 and \sigma=0.08

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And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

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And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

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Part b

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And we can use the z score formula given by:

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Part c

For this part we want to find a value a, such that we satisfy this condition:

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As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

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z=1.64

And if we solve for a we got

a=0.6 +1.64*0.08=0.7312

So the value of height that separates the bottom 95% of data from the top 5% is 0.7312.  

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