If you mirror the shape on the top across the x-axis you get the shape on the bottom. It’s like if you folded it over the horizontal line
Answer:
![\mu_{\bar x} = \mu = E(X) =30KWh](https://tex.z-dn.net/?f=%20%5Cmu_%7B%5Cbar%20x%7D%20%3D%20%5Cmu%20%3D%20E%28X%29%20%3D30KWh)
![\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{100}}=0.3](https://tex.z-dn.net/?f=%20%5Csigma_%7B%5Cbar%20X%7D%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%3D%5Cfrac%7B3%7D%7B%5Csqrt%7B100%7D%7D%3D0.3)
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".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
For this case we select a sample of n =100
From the central limit theorem we know that the distribution for the sample mean
is given by:
So then the sample mean would be:
![\mu_{\bar x} = \mu = E(X) =30KWh](https://tex.z-dn.net/?f=%20%5Cmu_%7B%5Cbar%20x%7D%20%3D%20%5Cmu%20%3D%20E%28X%29%20%3D30KWh)
And the standard deviation would be:
![\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{100}}=0.3](https://tex.z-dn.net/?f=%20%5Csigma_%7B%5Cbar%20X%7D%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%3D%5Cfrac%7B3%7D%7B%5Csqrt%7B100%7D%7D%3D0.3)
Camila puso 30 botellas de cada sabor en la estantería.
Dado que Camila ubicó 90 botellas en una estantería de un supermercado, y los jugos sin azúcar tienen tres sabores diferentes y Camila puso la misma cantidad de cada sabor en la estantería, para determinar la cantidad de botellas de jugo sin azúcar de cada sabor que puso Camila en la estantería se debe realizar el siguiente cálculo:
Por lo tanto, Camila puso 30 botellas de cada sabor en la estantería.
Aprende más en brainly.com/question/16991787
Answer:
8
Step-by-step explanation:
The attached graph shows the inverse function (red) and the value of the inverse function for an input of -9.
![f^{-1}(-9)=8](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28-9%29%3D8)
_____
The inverse function tells you the input required for the given output from the function. So, you can look for an output of -9 on the graph of <em>f</em> and see what input gives that. You find ...
f(8) = -9
so ...
f⁻¹(-9) = 8