Answer:
When you solve systems with two variables and therefore two equations, the ... of any variable is 1, which means you can easily solve for it in terms of the other ... In the substitution method, you use one equation to solve for one variable and ... Look for a variable with a coefficient of 1 … that's how you'll know where to begin.
Step-by-step explanation:
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
C 1:3
15:45 can be simplified by dividing by 15 to give you a ratio of 1minute if commercials for every 3 minutes of the actual show
Answer:

Step-by-step explanation:
We know that
, because
.
Now, angle 15° or 195° is not an important angle which can be solve by a given table like 30°, 45° or 60°. This means we have to use the calculator to find the more exact value, which is

The answer is -21 since its BELOW zero!!!
Hope this helped you!