Hi :)
The volume of a sphere is
V = 4/3 (pi) r^3
Supposing "length" as diameter
We can take the radius
2.40/2
1.2 is the radius of the sphere.
Inserting the radius into the formula
V = 4/3 (pi) 1.2^3
The volume is aproximately 7.24cm^3
Answer: -2
Step-by-step explanation:
y2-y1 / x2-x1
= 6-(-8) / 1-8
= 14/-7
= -2
Answer:
The equation of the regression line is:

Step-by-step explanation:
The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.
We have the following data:

To find the line of best fit for the points:
Step 1: Find
and
as it was done in the table
Step 2: Find the sum of every column:

Step 3: Use the following equations to find a and b:

Step 4: Assemble the equation of a line

The graph of the regression line is:
The answer to this is to try the hardest you can! I believe in you :)
To get the solution, we are looking for, we need to point out what we know.
<span>1. We assume, that the number 42.5 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 42.5 is 100%, so we can write it down as 42.5=100%. </span>
<span>4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. </span>
5. Now we have two simple equations:
1) 42.5=100%
2) x=76.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42.5/x=100%/76.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 76.8% of 42.5
42.5/x=100/76.8
<span>(42.5/x)*x=(100/76.8)*x - </span>we multiply both sides of the equation by x
<span>42.5=1.30208333333*x - </span>we divide both sides of the equation by (1.30208333333) to get x
<span>42.5/1.30208333333=x </span>
<span>32.64=x </span>
x=32.64
<span>now we have: </span>
<span>76.8% of 42.5=32.64</span>