Answer:
Explained below.
Step-by-step explanation:
The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
(a)
A sample of size 50.
Then the value of <em>k</em> will be: 
Thus, the value of <em>k</em> is 90.
(b)
Label the employees from 1 to 4502.
And select every 90th employee.
So, the individuals who will be administered the survey are:
90th, 180th, 270th,...
Simple. just do this:
1000x=1600
x=1600÷1000
x=1.6
each newspaper is $1.60
The line x = -11.4 is perpendicular to the x-axis and contains point
(-11.4 , 12.8)
Step-by-step explanation:
Let us revise the equations of the vertical lines and horizontal lines
- The vertical line is a line parallel to y-axis
- The x-coordinates of all points lie on the line are equal
- The equation of the vertical line basses through point (a , b) is x = a
- The horizontal line is a line parallel to x-axis
- The y-coordinates of all points lie on the line are equal
- The equation of the horizontal line passes through point (a , b) is y = b
- The vertical line and the horizontal line are perpendicular to each other when intersect each other
∵ The line is perpendicular to the x-axis
∴ The line is a vertical line
∴ The equation of the line is x = a, where a is the x-coordinate
of any point lies on the line
∵ The line contains point (-11.4 , 12.8)
∵ The x-coordinate of the point is -11.4
∴ a = -11.4
∴ The equation of the line is x = -11.4
The line x = -11.4 is perpendicular to the x-axis and contains point
(-11.4 , 12.8)
Learn more:
You can learn more about the linear equation in brainly.com/question/13168205
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Answer:
1680 in^3
Step-by-step explanation:
SO you got the triangle
24*10=240
240/2=120
now we just need to find the area
There is a formula but I think this is easier
So theres a rectangle with a length of 14
So if you think of the triangle as the base, you just need 14 triangles stacked up to make up the volume
So 120*14=1680
So the volume is 1680
-4.5x-2y=-12.5 and 3.25x-y=-0.75
we first multiply the second equation by -2
(-2)*(3.25x-y=-0.75)=-6.5x+2y=-1.5
add the equation to eliminate the y
so yo get (-4.5x-6.5x)=(-12.5-1.5)
-11x=-11
x=1
now we plug in x into any equation to solve for y
-45x-2y=-12.5 and x=1
(-45*1)-2y=-12.5
-4.5-2y=-12.5
-2y=-12.5+4.5
-2y=-8
y=4
then your answer is x=1 and y=4
