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nignag [31]
2 years ago
9

One possible integer of x for which 1/4 < k/10 < 1/3 is true?

Mathematics
1 answer:
Degger [83]2 years ago
4 0

Answer:

\fbox {x = 3}

Step-by-step explanation:

<u>Decimal form of the lower and higher limits</u> :

  • 1/4 = 0.25
  • 1/3 = 0.33...

Hence, the best one which lies in the middle of the limits would be <u>0.3</u>.

Now, equate the middle part :

  • x/10 = 0.3
  • x = 3
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Step-by-step explanation:

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Answer:

z=1.64

And if we solve for a we got;

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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".  

Solution to the problem

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P(X   (b)

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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

If we use condition (b) from previous we have this:

P(X  

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But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

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Step-by-step explanation:

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Step-by-step explanation:

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