Step-by-step Explanation:
Part A: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.
Considering the data
Age (in years) Weight (in pounds)
2 32
6 47
7 51
4 40
5 43
3 38
8 60
1 23
Considering the slope intercept form
where 
is the slope of the line and 
is the y-intercept.
Taking two points, lets say (2, 32) and (8, 60)
as
so
Thus
as
and
substituting in the slop-intercept form
Therefore, is the equation of the best fit line in slope-intercept form.
Part B: Use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.
As the equation of line is
So in order to find the weight of the little girl at an age of 14 years old, put
in the above equation.
as
∵
Therefore, the approximate weight of the little girl at an age of 14 years old will be 88 pounds.
Answer:
We can determine which image is correct by the second equation, only in one of the images the line is correct.
X-y=1
So x = 1+ y
If y is one x should be two.
Only in one image that is true, the third image.
Answer: C
Step-by-step explanation:
V=4
/3πr3
Hey!
I hope you don't mind, but before I answer this question I'd like to do a quick review of some general angles and how to tell which is which.
<span><em><u /></em><span><em><u>QUICK REVIEW</u></em>
</span></span>
So, let's first review what an acute angle is. An acute angle is an angle that is smaller than 90<span>°. The word acute basically means having a sharp or pointy end. So this is a helpful way to remember what an acute angle is.
Now, let's review what an obtuse angle is. An obtuse angle is an angle that is more than 90</span>°. If an angle measures over 90<span>° that it is more than likely that it is an obtuse angle.
Last but not least a right angle. A right angle is an angle that has to be exactly 90</span>°. If an angle is 90<span>° than it is most definitely a right
<span><em><u /></em><span><em><u>END QUICK REVIEW</u></em>
</span></span>
Let's start by finding out the angle in the top left hand corner. The angle is clearly no more that 90</span>° and is not 90° exactly. This angle must be an acute angle. We can also tell that it is an acute angle because the angle is sharp.
Now let's look at the angle on the bottom left hand corner. The angle is clearly no less than 90° and more than 90° exactly. This angle must be an obtuse angle.
Since the angles are basically the same on the other side, we won't be reviewing those. Now we'll count all the angles we have.
Acute Angles - 2
Obtuse Angles - 2
Right Angles - 0
<em>So, this means that in the figure shown above,</em> there are 2 acute angles, 2 obtuse angles, and no right angles.
Hope this helps!
- Lindsey Frazier ♥
Answer:
The method that is valid in finding the unit rate for a proportional relationship is by:
Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction. The unit rate is the slope, which is the rise over run.
Step-by-step explanation:
