D.the number of times the drug has removed a certain percentage of fluid from the patient's lungs
Answer:
this one is least to greatest -4 -11-2, 1421
Step-by-step explanation:
you have to do the least number to the greatest so a negative number would be least but you can't get confused you have to do the east number.
Answer:
![P(-2 \leq \bar X -\mu \leq 2)](https://tex.z-dn.net/?f=%20P%28-2%20%5Cleq%20%5Cbar%20X%20-%5Cmu%20%5Cleq%202%29)
If we divide both sides by
we got:
![P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})](https://tex.z-dn.net/?f=%20P%28%5Cfrac%7B-2%7D%7B%5Cfrac%7B4%7D%7B%5Csqrt%7B9%7D%7D%7D%5Cleq%20Z%20%5Cleq%20%5Cfrac%7B2%7D%7B%5Cfrac%7B4%7D%7B%5Csqrt%7B9%7D%7D%7D%29)
And we can use the normal distribution table or excel to find the probabilites and we got:
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 area of a population, and for this case we know the distribution for X is given by:
Where
and ![\sigma=4](https://tex.z-dn.net/?f=%5Csigma%3D4)
We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
![\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})](https://tex.z-dn.net/?f=%5Cbar%20X%20%5Csim%20N%28%5Cmu%2C%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%29)
And we want to find this probability:
![P(-2 \leq \bar X -\mu \leq 2)](https://tex.z-dn.net/?f=%20P%28-2%20%5Cleq%20%5Cbar%20X%20-%5Cmu%20%5Cleq%202%29)
If we divide both sides by
we got:
![P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})](https://tex.z-dn.net/?f=%20P%28%5Cfrac%7B-2%7D%7B%5Cfrac%7B4%7D%7B%5Csqrt%7B9%7D%7D%7D%5Cleq%20Z%20%5Cleq%20%5Cfrac%7B2%7D%7B%5Cfrac%7B4%7D%7B%5Csqrt%7B9%7D%7D%7D%29)
And we can use the normal distribution table or excel to find the probabilites and we got:
![P(-1.5 \leq Z \leq 1.5)= P(Z](https://tex.z-dn.net/?f=%20P%28-1.5%20%5Cleq%20Z%20%5Cleq%201.5%29%3D%20P%28Z%3C1.5%29%20-P%28Z%3C-1.5%29%20%3D%200.933-0.0668%3D0.866)
Joe is positive 986 yards
Ziggy is negative 118 yards
the total difference is 986 +118 = 1,104 yards
Part 1:
a = 2
b = 4
c = -3
Part 2: the parabola will open up
Part 3: axis of symmetry x = -1