Answer:
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 scores of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Answer:
120 into a third and divide and the answer
Step-by-step explanation:
160
Answer:
-4
Step-by-step explanation:
The given equations are as follows:
![\[\frac{1}{2}x+\frac{1}{4}y=5\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B1%7D%7B4%7Dy%3D5%5C%5D)
![\[2x +\frac{3}{8}y=5\]](https://tex.z-dn.net/?f=%5C%5B2x%20%2B%5Cfrac%7B3%7D%7B8%7Dy%3D5%5C%5D)
The coefficient of x in the second equation is 2.
So in order to eliminate x we need to multiply the first equation by a value so that the coefficient of x becomes -2.
Since the coefficient of x in the first equation is \[\frac{3}{8}\], it needs to be multiplied by -4.
So the required multiplier for the first equation is -4
Answer:
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Step-by-step explanation:
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