-- They're losing employees . . . so you know that the line will slope down, and
its slope is negative;
-- They're losing employees at a steady rate . . . so you know that the slope is
the same everywhere on the line; this tells you that the graph is a straight line.
I can see the function right now, but I'll show you how to go through the steps to
find the function. I need to point out that these are steps that you've gone through
many times, but now that the subject pops up in a real-world situation, suddenly
you're running around in circles with your hair on fire screaming "What do I do ?
Somebody give me the answer !".
Just take a look at what has already been handed to you:
0 months . . . 65 employees
1 month . . . . 62 employees
2 months . . . 59 employees
You know three points on the line !
(0, 65) , (1, 62) , and (2, 59) .
For the first point, 'x' happens to be zero, so immediately
you have your y-intercept ! ' b ' = 65 .
You can use any two of the points to find the slope of the line.
You will calculate that the slope is negative-3 . . . which you
might have realized as you read the story, looked at the numbers,
and saw that they are <u>firing 3 employees per month</u>.
("Losing" them doesn't quite capture the true spirit of what is happening.)
So your function ... call it ' W(n) ' . . . Workforce after 'n' months . . .
is <em>W(n) = 65 - 3n</em> .
Answer:
2.88
Step-by-step explanation:
Data provided in the question
= Population standard deviation = 7 miles per hour
Random sample = n = 32 vehicles
Sample mean =
= 64 miles per hour
98% confidence level
Now based on the above information, the alpha is
= 1 - confidence level
= 1 - 0.98
= 0.02
For
= 0.01
= 2.326
Now the margin of error is
![= Z \alpha_1_2 \times \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%3D%20Z%20%5Calpha_1_2%20%5Ctimes%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![= 2.326 \times \frac{7}{\sqrt{32}}](https://tex.z-dn.net/?f=%3D%202.326%20%5Ctimes%20%5Cfrac%7B7%7D%7B%5Csqrt%7B32%7D%7D)
= 2.88
hence, the margin of error is 2.88
Answer:
The circle's diameter is ![4\ yd](https://tex.z-dn.net/?f=4%5C%20yd)
Step-by-step explanation:
we know that
The circumference of a circle is equal to
![C=\pi D](https://tex.z-dn.net/?f=C%3D%5Cpi%20D)
where
D is the diameter of the circle
In this problem we have
![C=12.56\ yd](https://tex.z-dn.net/?f=C%3D12.56%5C%20yd)
![\pi=3.14](https://tex.z-dn.net/?f=%5Cpi%3D3.14)
substitute the values and solve for D
![12.56=(3.14)D](https://tex.z-dn.net/?f=12.56%3D%283.14%29D)
![D=12.56/(3.14)=4\ yd](https://tex.z-dn.net/?f=D%3D12.56%2F%283.14%29%3D4%5C%20yd)
Okay, move the decimal behind the 8. There are 4 places before the decimal so it is nagitive. If there are places Infront of the decimal is nagitive. So the answer is 8.235×10-4
Answer:
7/12 of a chance
Step-by-step explanation:
If you have 12 batteries and 5 are dead, 12 - 5 is 7, so there's going to be 7/12 of a chance.