Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b; where y and x are variables, b is the y intercept (i.e. value of y when x is zero), m is the slope of the line.
The slope of a line passing through the points ![(x_1,y_1)\ and\ (x_2,y_2)\ is:](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%5C%20and%5C%20%28x_2%2Cy_2%29%5C%20is%3A)
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Let the point where the two lines intersect be the origin (0, 0).
Line 1 passes through (0, 0) and (8, 5). Hence:
slope of line 1 = ![\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{8-0} =0.625](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B5-0%7D%7B8-0%7D%20%3D0.625)
Line 2 passes through (0, 0) and (5, 8). Hence:
slope of line 2 = ![\frac{y_2-y_1}{x_2-x_1}=\frac{8-0}{5-0} =1.6](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B8-0%7D%7B5-0%7D%20%3D1.6)
Regular pay = $9.40
Overtime pay = 9.4 x 1.5 = $14.10
1 hour = 14.10
5 hours = 14.10 x 5 = $70.50
1 employee = $70.50
200 employees = 70.50 x 200 = $14100
Volume = pi*r^2
108*pi=pi*r^2
108=r^2 (pi's cancel out)
r= √108 or 6√3 or 10.4 cm
Hope this helps
C. The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
The samples he chose may not be a representative sample because the number of students per foreign language class may not be the same. Since classes have different numbers of students, one may have a very large number of students while another may have only a few. Taking equal number of students per class is not a representative sample because it doesn't represent the students correctly.
Answer:
1:21
Step-by-step explanation:
Easiest trick way to do this is do 26/546 on your calculator (if you got a scientific one) this would simplify this to its lowest fraction which can be converted into a ratio in this case the ratio of teachers to students is 1:21