The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (
1 answer:
You might be interested in
The number of bins in the histogram determines the width of the bins and
the frequency (number of members) in a bin.
- Please find attached the graph of the histogram of Gretchen's data created with MS Excel.
Given:
The table from Gretchen's data is presented as follows;
The required number of bins = 8 bins
The steps to create the histogram using MS Excel;
- Enter the 15 dataset for the number of days as presented in the above table in a column on the worksheet.
- Select the dataset entered into the cells from above then select the Insert menu.
- In the Chart section of the insert menu click on the Histogram icon to view the quick options for histograms type charts.
- Select the Histogram option from the drop down menu from the quick options for histograms, to create an histogram chart.
- Right-click the histogram created from the previous step, then select Format Chart Area from the pop up menu.
- In the Format Chart Area task pane, click on the arrow next to Chart Options, then select Horizontal Axis from the options menu.
- Click on the histogram icon under Axis Options, then click on arrow button besides Axis Option sub menu, to display the axis options.
- Click on the Number of bins radio button then enter 8, to create an histogram having 8 bins.
The histogram of Gretchen's data having eight bins created with MS Excel is attached.
Learn more about creating a histogram chart here:
Answer: A. Factor 2 => 4x greater
Factor 3 => 9x greater
Factor 5 => 25x greater
Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:
A = 2.π.r.h
A cylinder of radius r and height h has area:
= 2πrh
If multiply both dimensions <u>by a factor of 2</u>:
= 2.π.2r.2h
= 8πrh
Comparing to
:
=
= 4
Doubling radius and height creates a surface area of a cylinder 4 times greater.
<u>By factor 3:</u>
Comparing areas:
=
= 9
Multiplying by 3, gives an area 9 times bigger.
<u>By factor 5</u>:
Comparing:
=
= 25
The new area is 25 times greater.
B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.