Answer:
The minimum sample size required is
.
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean is:

The margin of error for this interval is:

The information provided is:
E = 0.101
Confidence level = 95%
α = 5%
Compute the critical value of <em>z</em> for α = 5% as follows:

*Use a <em>z</em>-table.
Compute the sample size required as follows:
![n=[\frac{z_{\alpha/2}\times \sigma}{E}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csigma%7D%7BE%7D%5D%5E%7B2%7D)
![=[\frac{1.96\times \sigma}{0.101}]^{2}\\\\=376.59\times \sigma^{2}](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.96%5Ctimes%20%5Csigma%7D%7B0.101%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D376.59%5Ctimes%20%5Csigma%5E%7B2%7D)
Thus, the minimum sample size required is
.
The length of the SM parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
<h3>What is the area of a rectangle?</h3>
Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The length of the rectangle is 15 cm and width is 8 cm. Thus, the area of it is,

All three parts has equal area. Thus, the area of parallelogram NCMA is,

MN is the height of the parallelogram. Thus,

Thus, the length of the Sm parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
Learn more about the area of rectangle here;
brainly.com/question/11202023
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Answer:
The correct answer is A. A fairly strong positive correlation
Step-by-step explanation:
Scatter Plot : A graph of plotted points that show the relationship between two sets of data.
Now, the points of the scatter plot are going up this shows the increase in the data points so we can say the correlation is positive.
Now, the direction of the scatter plots is to the right. So, we can say that the correlation is strong correlation.
Hence, the correct answer is A. A fairly strong positive correlation