In general, the value measured by the vertical axis is called the _____ variable.
2 answers:
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Answer: If X = 5, z=<u>-3</u>
If X = 37, z= <u>3.4</u>
Step-by-step explanation:
We know that the formula to find the z-score for any random variable x is given by :-
, where = Population mean
= Population standard deviation.
As per given , we have
Then , the z-score for x =5
i.e. If X = 5, z=<u>-3</u>
When x =37,then
i.e. If X = 37, z= <u>3.4</u>
We have 
Plug in
:
⇒
So we now have
Plug in
:
⇒
⇒![b=\sqrt[3]{\frac{95}{4}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B95%7D%7B4%7D%7D)
which is approximately 2.874
So we get
![y=4(\sqrt[3]{\frac{95}{4}})^{x}](https://tex.z-dn.net/?f=y%3D4%28%5Csqrt%5B3%5D%7B%5Cfrac%7B95%7D%7B4%7D%7D%29%5E%7Bx%7D)
or, in decimal form,
Plug in
So we now have
Plug in
⇒
⇒
which is approximately 2.874
So we get
or, in decimal form,