The ratio of pop songs to rock songs you download is 5:4, and 40 are pop songs. You want to find out how many rock songs there are.
First, add the ratios together: 5+4=9. This means that 9 will be your denominator, so 5/9 songs are pop and 4/9 songs are rock.
Now you know that pop songs account for 5/9 of the songs, this means that 40 is 5/9 of the total songs.
To find out how much 4/9 is, you need to divide 40 by 5 to get 1/9 and times that number by 4 to get 4/9:
40÷5=8×4=32 songs are rock songs
To compare these numbers, you must first put them into one format. Since you have mixed numbers, you may have to find and use the LCD.
-2.5, 1/5, 10, -12/4, 18/5, 10 could be simplified somewhat immediately:
-2.5, 1/5, 10, -3, (3 3/5) This set of numbers is simple enough so that you could rearrange them in ascending order mentally:
-3, -2.5, 1/5, (3 3/5), 10
In this case the number of elements in this set is odd, so all you have to do is to select the MIDDLE element: 1/5.
The median is 1/5.
You MUST learn this procedure (arranging the set elements in ascending order and selecting the middle element) so that you can apply it yourself.
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.
<h3 /><h3>Method used to create the histogram of Gretchen's data</h3>
Given:
The table from Gretchen's data is presented as follows;
![\begin{tabular}{|c|c|} \underline{ Member}& \underline{Number of Days}\\x_1&2\\x_2&4\\x_3&7\\x_4&8\\x_5&12\\x_6&15\\x_7&10\\x_8&7\\x_9&9\\x_{10}&6\\x_{11}&13\\x_{12}&3\\x_{13}&8\\x_{14}&10\\x_{15}&10\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7C%7D%20%5Cunderline%7B%20Member%7D%26%20%5Cunderline%7BNumber%20of%20Days%7D%5C%5Cx_1%262%5C%5Cx_2%264%5C%5Cx_3%267%5C%5Cx_4%268%5C%5Cx_5%2612%5C%5Cx_6%2615%5C%5Cx_7%2610%5C%5Cx_8%267%5C%5Cx_9%269%5C%5Cx_%7B10%7D%266%5C%5Cx_%7B11%7D%2613%5C%5Cx_%7B12%7D%263%5C%5Cx_%7B13%7D%268%5C%5Cx_%7B14%7D%2610%5C%5Cx_%7B15%7D%2610%5Cend%7Barray%7D%5Cright%5D)
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:
brainly.com/question/25069221
brainly.com/question/4601962
-2 - 1 = -3
The answer is -3.