Answer:
a) X[bar]=93
b)S=5.39
Step-by-step explanation:
Hello!
<em>A simple random sample of 5 months of sales data provided the following information: Month: 1 2 3 4 5 Units Sold: 94 100 85 94 92 </em>
<em />
<em>a. Develop a point estimate of the population mean number of units sold per month. </em>
The variable of interest is:
X: Number of sales per month.
A random sample of n=5 months was taken, for each month, the number of units sold was recorded. To calculate the mean of the sample you have to add all the observed frequencies (Units Sold) by the sample size (n)
X[bar]= ∑X/n= 465/5=93
You can say that, on average, 93 units were sold over the 5-month period.
<em>b. Develop a point estimate of the population standard deviation.</em>
To calculate the sample standard deviation you have to calculate the variance and then its square root:
![S^2= \frac{1}{n-1}[sumX^2-\frac{(sumX)^2}{n} ]](https://tex.z-dn.net/?f=S%5E2%3D%20%5Cfrac%7B1%7D%7Bn-1%7D%5BsumX%5E2-%5Cfrac%7B%28sumX%29%5E2%7D%7Bn%7D%20%5D)
∑X= 465
∑X²= 43361
![S^2= \frac{1}{4}[43361-\frac{(465)^2}{5} ]= 29](https://tex.z-dn.net/?f=S%5E2%3D%20%5Cfrac%7B1%7D%7B4%7D%5B43361-%5Cfrac%7B%28465%29%5E2%7D%7B5%7D%20%5D%3D%2029)
S= √29= 5.385≅ 5.39
I hope this helps!
The exponential growth is: 
And its graph is the first one.
The exponential decay is: 
And its graph is the second one.
<h3>
How to identify the exponential equations?</h3>
The general exponential equation is of the form:
Where A is the initial value and b is the base.
- If b > 1, then we have an exponential growth.
- if 1 > b > 0, then we have an exponential decay.
Here the two functions are:
As you can see, the base for the first one is smaller than 1, then it is an exponential decay (and it has a decreasing graph, so the graph of this one is the second graph).
For the second function, we have the base b = 1.25, which is larger than 1, so it is an exponential growth, and its graph is an increasing graph, which is the first one.
If you want to learn more about exponential functions:
brainly.com/question/11464095
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Answer:
16
Step-by-step explanation:
The number would be:
= 2 + (-6 + 20)
= 2 - 6 + 20 = 16
Hope this right because your question is not very clear! :3
45.5 is your answer, you will have to multiple the height times the base ( 5 x 9.1 )
The total number of DVDs that she bough is 6
<h3>Linear equations</h3>
Linear equation are expression that has a leading degree of 1.
Let the price of each DVD be x such that if Grace bought a television for $329 and some DVDs for $5.75 each and spent a total of $363.50, ten;
329 + 5.75x = 363.5
Subtract 329 from both sides
329 + 5.75x - 329 = 363.5 - 329
5.75x = 34.5
x = 34.5/5.75
x = 6
This shows that the total number of DVDs that she bough is 6
Learn more on linear equation here: brainly.com/question/2030026
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