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Vika [28.1K]
3 years ago
7

Write two equations so that each have variables on both sides and a solution of 1/2

Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0
The solution will be:

x=\frac{1}{2}

we can start here and just modify this, for example: add x to both sides:

2x=\frac{1}{2}+x

this is one such equation!


and further let's add 5 to both sides


2x+5=5\frac{1}{2} +x
and another such equation!

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For part B problem 1. It's telling you to add the numbers from the difference high row and if your answer is not an integer, what two integers is it between.

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Answer:

P(1

And we can find this probability with thi difference:

P(-2

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

P(-2

So then we expect about 72.5% of the current shipment times between 1 and 5 days

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 that represent the current shipment time of a population, and for this case we know the distribution for X is given by:

X \sim N(4,1.5)  

Where \mu=4 and \sigma=1.5

We are interested on this probability

P(1

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(1

And we can find this probability with thi difference:

P(-2

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

P(-2

So then we expect about 72.5% of the current shipment times between 1 and 5 days

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Answer:

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Step-by-step explanation:

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19 + 19 = 38 <======
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