Answer:The answer is (4,7)
Step-by-step explanation:
Complete Question
The complete question is shown on the first uploaded image
Answer:
The sales level that is the cut-off between quarters that are considers as "failure" and those that are not is evaluated as

Step-by-step explanation:
From the question we are told that the
Mean is 
Standard deviation is 
Let Y be the random variable that denotes the sales made quarterly among health care information system
The normal distribution for this data is mathematically represented as
~ N 
From the question we are told that a quarter is consider a failure by the company if the sales level that quarter in the bottom 10% of the of all quarterly sales
So
The the Probability of obtaining quarterly sales level that is equal to 10% of all quarterly sale (It is not below 10%) is mathematically represented as
![P[Y < y ] = 0.10](https://tex.z-dn.net/?f=P%5BY%20%3C%20y%20%5D%20%3D%200.10)
This can be represented as a normal distribution in this manner
![P [ \frac{Y- \mu}{\sigma } < \frac{y -\mu}{\sigma} ] = 0.10](https://tex.z-dn.net/?f=P%20%5B%20%5Cfrac%7BY-%20%5Cmu%7D%7B%5Csigma%20%7D%20%20%3C%20%5Cfrac%7By%20-%5Cmu%7D%7B%5Csigma%7D%20%5D%20%3D%200.10)
Where
~
{This mean that this equal to the normal distribution between 0, 1 which is the generally range of every probability }
Therefor we have
![P[Z < \frac{y- 8}{1.3} ]](https://tex.z-dn.net/?f=P%5BZ%20%3C%20%5Cfrac%7By-%208%7D%7B1.3%7D%20%5D)
The cumulative distribution function for a normal distribution of y is mathematically represented as
![\phi [\frac{y- 8}{1.3} ] = 0.10](https://tex.z-dn.net/?f=%5Cphi%20%5B%5Cfrac%7By-%208%7D%7B1.3%7D%20%5D%20%3D%200.10)
This is because a cumulative distribution function of a random value Y or a distribution of Y evaluated at y is the probability that Y will take will take a value that is less or equal to y

Calculating the inverse of the cumulative distribution function value of 0.10 which is negative the the critical value(Critical values determine what probability a particular variable will have when a sampling distribution is normal or close to normal.) of 0.01
![\phi ^{-1}(0.10) =- [1 - \frac{0.10}{2}]](https://tex.z-dn.net/?f=%5Cphi%20%5E%7B-1%7D%280.10%29%20%3D-%20%5B1%20-%20%5Cfrac%7B0.10%7D%7B2%7D%5D)




Answer: a:b:c:d = 16:24:30:40
You can also divide the ratio by 2 because all terms have 2 in common. Which would be a:b:c:d = 8:12:15:20
Answer:
22/15
Step-by-step explanation:
Answer:
The equation used to predict the number of people living in the town after x years is y = 32,000 (1.08)x
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Initial population: 32,000
</em>
- <em>Growth per year: 8%
</em>
So, to obtain "y" (the number of people living in the town after x years), we have to multiply the initial population by 1+ 0.08 (the growth rate is 8%/100=0.08 and the original value) and the number of years (x).
Mathematically speaking:
y = 32,000 (1+0.08) x
y= 32,000 (1.08) x
The equation used to predict the number of people living in the town after x years is y = 32,000 (1.08)x