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schepotkina [342]
3 years ago
11

Erma solves an equation by first subtracting 8 from both sides of the equation. She then divides both sides by 8 and finds the s

olution. Which of the following gives the properties of equality that she used and their correct order?
Mathematics
1 answer:
BigorU [14]3 years ago
5 0
This is the concept of algebra, to get the inequality we proceed as follows; Erma subtracted 8 from both sides and divided both sides by 8 so that we can get the value of the unknown. The the properties used were:

Subtraction properties of inequality, which states that:
if a<b, then a-c<b-c

Division properties of inequality, which states that:
if a<b, then a/c=<b/c

 
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Answer:

0.923

Step-by-step explanation:

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If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?
Ipatiy [6.2K]

Answer:

P(X

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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

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

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P(X

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

z=\frac{x-\mu}{\sigma}

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

P(X

And we can find this probability on this way:

P(Z

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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