Two forces of 100 Newtons and 25 Newtons
2 answers:
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Given:
The table of values.
To find:
The least-squares regression line for the data set in the table by using the desmos graphing calculator.
Solution:
The general form of least-squares regression line is:
...(i)
Where, m is the slope and b is the y-intercept.
By using the desmos graphing calculator, we get
Substitute these values in (i).
Therefore, the correct option is A.
The point of intersection is the point where lines intersect.
<em>There will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>
<em />
Given
<em /><em> --- the number of lines</em>
<em /><em> --- no three lines are concurrent</em>
<em />
When no three line are concurrent, it means that no three lines meet at the same point.
<u>So, the sequence of intersection is:</u>
- <em>0 intersection for 1 line</em>
- <em>1 intersection for 2 lines</em>
- <em>3 intersections for 3 lines</em>
- <em>6 intersections for 4 lines</em>
<em />
Following the above sequence, the number of intersections for n lines is:
In this case,
So, we have:
<em>Hence, there will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>
<em />
Read more about lines of intersections at:
Answer:
Additional <em>26</em> pendants are to be sold to make profit.
Step-by-step explanation:
Rent of booth at the craft fair = $200
Cost of material for each pendant = $7.80
Let Kelsey makes number of pendants.
To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for number of pendants.
Cost of material for number of pendants = Cost of material for each pendant multiplied by number of pendants
Cost of material for number of pendants = $7.80
So, total cost = $200 + $7.80
Now, each pendant is sold at $13.50
So, total money made by selling pendants = $13.50
For making profit, total money made must be greater than the total cost.
Therefore, the inequality becomes:
Let us solve the inequality now:
So, at least 36 pendants are to be sold to make a profit.
Additional 36-10 = <em>26</em> pendants are to be sold to make profit.