Answer:


Step-by-step explanation:
Given

Solving (a): The mean of the 6 samples.
This is calculated as:

So, we have:



Solving (b): The sample standard deviation.
This is calculated using:

So, we have:




Answer:
The value at the end of year 2 is $4400.
Step-by-step explanation:
The best approach here is to determine the expression for the line depreciation and then calculate the depreciation value at x = 2 years.
A line is given by

where m is the slope and b the bias (aka y-intercept). You can determine both directly from what is given. The slope is change in y divided by change in x. We know that over 5 years the car loses (500-7000)=-6500 in value. So, the slope is m=-6500/5 (note the negative sign). At time 0, the y-intercept is 7000, since that is the initial value (at year 0). So our line function is fully identified:

and gives you the value of the car in any given year. To answer the question, we now plug in 2 as value of x:

This is a 30-60-90 triangle. The short leg is given to us as 5
The long leg is equal to sqrt(3) times the short leg
long leg = sqrt(3)*(short leg)
long leg = sqrt(3)*5
long leg = 5*sqrt(3)
The base is 5. The height is 5*sqrt(3)
b = 5
h = 5*sqrt(3)
Use this to find the area
A = b*h/2
A = 5*5*sqrt(3)/2
A = 25*sqrt(3)/2
which is the exact area in terms of a radical
You can write it out as
To find the volume of a cone you use the formula "1/3 x 3.14 x r^2 x h". Plug the formula into the problem. 1/3 x 3.14 x 3.75^2 x 3.5 =51.51. Rounded to the nearest tenth is 51.5. Hope this helps!
<span>In algebra, you can use function __Notation______ to express the idea that salary depends on the number of hours of training.
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