1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masja [62]
2 years ago
15

Describe how to create a line of best fit

Mathematics
1 answer:
aliya0001 [1]2 years ago
4 0

Answer:

Plot your point(s) first. Then make the line of best fit. The plotted point(s) on the graph (or other enclosed area) have to be evenly spread out/across the line of best fit.

Hope it helps!

You might be interested in
By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50
olchik [2.2K]
Well, let's say the numbers are "a" and "b"

so a * b = ab

ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

now let's reduce "b" by 50%, that means the new size is 50% or half,  how much is 50% of b? well (50/100)*b, or 0.5b

\bf \begin{cases}
a\cdot b\implies  ab\\
0.75a\cdot 0.5b\\
\qquad 0.75\cdot 0.5ab\\
\qquad 0.375ab
\end{cases}

now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100

0.375 * 100, is 37.5%

the new size of "ab" is just 37.5% of the original "ab"

it decreased by 100 - 37.5 or 62.5%
5 0
3 years ago
Find the exact value of the expression.<br> tan( sin−1 (2/3)− cos−1(1/7))
Sonja [21]

Answer:

\tan(a-b)=\frac{2\sqrt{5}-20\sqrt{3}}{5+8\sqrt{15}}

Step-by-step explanation:

I'm going to use the following identity to help with the difference inside the tangent function there:

\tan(a-b)=\frac{\tan(a)-\tan(b)}{1+\tan(a)\tan(b)}

Let a=\sin^{-1}(\frac{2}{3}).

With some restriction on a this means:

\sin(a)=\frac{2}{3}

We need to find \tan(a).

\sin^2(a)+\cos^2(a)=1 is a Pythagorean Identity I will use to find the cosine value and then I will use that the tangent function is the ratio of sine to cosine.

(\frac{2}{3})^2+\cos^2(a)=1

\frac{4}{9}+\cos^2(a)=1

Subtract 4/9 on both sides:

\cos^2(a)=\frac{5}{9}

Take the square root of both sides:

\cos(a)=\pm \sqrt{\frac{5}{9}}

\cos(a)=\pm \frac{\sqrt{5}}{3}

The cosine value is positive because a is a number between -\frac{\pi}{2} and \frac{\pi}{2} because that is the restriction on sine inverse.

So we have \cos(a)=\frac{\sqrt{5}}{3}.

This means that \tan(a)=\frac{\frac{2}{3}}{\frac{\sqrt{5}}{3}}.

Multiplying numerator and denominator by 3 gives us:

\tan(a)=\frac{2}{\sqrt{5}}

Rationalizing the denominator by multiplying top and bottom by square root of 5 gives us:

\tan(a)=\frac{2\sqrt{5}}{5}

Let's continue on to letting b=\cos^{-1}(\frac{1}{7}).

Let's go ahead and say what the restrictions on b are.

b is a number in between 0 and \pi.

So anyways b=\cos^{-1}(\frac{1}{7}) implies \cos(b)=\frac{1}{7}.

Let's use the Pythagorean Identity again I mentioned from before to find the sine value of b.

\cos^2(b)+\sin^2(b)=1

(\frac{1}{7})^2+\sin^2(b)=1

\frac{1}{49}+\sin^2(b)=1

Subtract 1/49 on both sides:

\sin^2(b)=\frac{48}{49}

Take the square root of both sides:

\sin(b)=\pm \sqrt{\frac{48}{49}

\sin(b)=\pm \frac{\sqrt{48}}{7}

\sin(b)=\pm \frac{\sqrt{16}\sqrt{3}}{7}

\sin(b)=\pm \frac{4\sqrt{3}}{7}

So since b is a number between 0 and \pi, then sine of this value is positive.

This implies:

\sin(b)=\frac{4\sqrt{3}}{7}

So \tan(b)=\frac{\sin(b)}{\cos(b)}=\frac{\frac{4\sqrt{3}}{7}}{\frac{1}{7}}.

Multiplying both top and bottom by 7 gives:

\frac{4\sqrt{3}}{1}= 4\sqrt{3}.

Let's put everything back into the first mentioned identity.

\tan(a-b)=\frac{\tan(a)-\tan(b)}{1+\tan(a)\tan(b)}

\tan(a-b)=\frac{\frac{2\sqrt{5}}{5}-4\sqrt{3}}{1+\frac{2\sqrt{5}}{5}\cdot 4\sqrt{3}}

Let's clear the mini-fractions by multiply top and bottom by the least common multiple of the denominators of these mini-fractions. That is, we are multiplying top and bottom by 5:

\tan(a-b)=\frac{2 \sqrt{5}-20\sqrt{3}}{5+2\sqrt{5}\cdot 4\sqrt{3}}

\tan(a-b)=\frac{2\sqrt{5}-20\sqrt{3}}{5+8\sqrt{15}}

4 0
3 years ago
What is the resulting cross section if the cheesecake was sliced parallel to its points?
ad-work [718]

Answer:

Step-by-step explanation:

??What is parallel to a point?

If the cut is parallel to the cut-off point, the cross-section is a rectangle.

6 0
3 years ago
Tamika makes a 5.5% commision selling electronics how much commission doesshe make if she sells a flat screen for 10000
sergey [27]

Answer:

$550

Step-by-step explanation:

5.5 % = 0.055

10,000 x 0.055=550

6 0
3 years ago
A line has an y-intercept of 4 and a x-intercept of 1. Use this information to write a function in slope intercept form (y = mx
Ad libitum [116K]

Answer:  D.  y = -4x + 4

Step-by-step explanation:

Notice that the y-intercept is when x is zero and the x intercept is when y is 0.

and to write in the equation in slope intercept form , you will need the slope and the intercept.

We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.

y intercept: ( 0,4)  

x intercept: (1,0)

y coordinates difference:  4 - 0 = 4

x coordinates difference:  0 - 1 = - 1  

Slope:  4/-1 =  -4  

Since the slope is -4 and the the y intercept is 4 , the equation will be

 y = -4x + 4

7 0
3 years ago
Other questions:
  • Let f(x)= 3x – 6 and g(x) = x –2. Find f/g and its domain.
    15·1 answer
  • went to dinnerand the bii was 120. left a tip for 21.60 what percent of the total bill did they leave
    6·1 answer
  • What's the quotient of <br>61.962÷0.449=
    14·1 answer
  • Which pair of inequalities would overlap if they were graphed?
    6·2 answers
  • Solve the following for g please and explain if you can, thank you!
    10·1 answer
  • What do I do????????
    14·1 answer
  • * This is the correct answer, I have taken the test and am posting the answers in hopes of helping other people :] *
    8·1 answer
  • Find the solution of the system of equations.<br><br> −6x+6y= −24<br> −6x+9y= −45
    6·1 answer
  • Write in stardard form 72 / -54​
    6·2 answers
  • Study the dashed arrows in the image.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!