The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won:

The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)

Answers

Answer 1

Answer:

(a) y intercept is approximately 4.3

(b) [tex]y = 1.5x+4.5[/tex]

Step-by-step explanation:

Given

See attachment for graph

Solving (a) The y intercept

This is the point where [tex]x =0[/tex]

From the attached graph; By observation

[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]

So, the y intercept is approximately 4.3

Solving (b): The equation of best fit.

First, calculate the slope of the line using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (9,18)[/tex]

[tex](x_2,y_2) = (8,16.5)[/tex]

So:

[tex]m = \frac{16.5- 18}{8 - 9}[/tex]

[tex]m = \frac{-1.5}{- 1}[/tex]

[tex]m = 1.5[/tex]

The equation is then calculated using:

[tex]y =m(x - x_1) + y_1[/tex]

Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]

[tex]y = 1.5(x - 9) + 18[/tex]

[tex]y = 1.5x - 9*1.5 + 18[/tex]

[tex]y = 1.5x - 13.5 + 18[/tex]

[tex]y = 1.5x+4.5[/tex]

The Graph Below Shows The Relationship Between The Number Of Months Different Students Practiced Boxing

Related Questions

x = _

•2

•6

•3.75

Thank you!​

Answers

Answer:

so is the value of six times 1

Step-by-step explanation:

Theo is using the Quadratic Formula to solve a quadratic equation. Which of the following is the next step for simplifying

x=−4±4√6/2

Answers

Answer: look at the picture

Step-by-step explanation:

Removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6

How to find the solution to a standard quadratic equation?

Suppose the given quadratic equation is

[tex]ax^2 + bx + c = 0[/tex]

Then its solutions are given as

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Here, we're given the expression:

[tex]x = \dfrac{-4 \pm 4\sqrt{6}}{2}[/tex]

The next step to simplify is to make it look more simple.

[tex]x = \dfrac{-4}{2} \pm \dfrac{4\sqrt{6}}{2}\\\\x = -2 \pm 2\sqrt{6}[/tex]

Thus, removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6

Learn more about quadratic equations here:

https://brainly.com/question/3358603

Find the measure of 44.
{
44
158°
K
*4 = [?]

Answers

<4=22°

Answer:

<4+158=180 co interior angle

<4=180-158=22°

Answer:

solution given:

<4+<158°=180°[co- interior angle]

<4=180°-<158°=22°

<4=22° is your answer

Find the common ratio of the geometric sequence 7,63,567, ...

Answers

Answer:

Step-by-step explanation:

Answer: 9

Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!

Is (4, 3) a solution to the inequality 7x + 5y = 15?
yes
no

Answers

Answer:

no

Step-by-step explanation:

7x+5y=15

(x,y)

(4,3)

put in 4 for x and 3 for y

7(4)+5(3)=15

43=15

This equation is impossible

Hope that helps :0

Step-by-step explanation:

7x+5y=15 (x=4,y=3)

7(4)+5(3)=15

28+15=15

43>15

they are no equal

follow me

1/2 of a number y is more than 22

Answers

Answer:

1/2y > 22

Step-by-step explanation:

I think that's what you were asking, but I'm not sure

So the is more than tells you that you're going to use the greater than sign. and 1/2 of y is 1/2y because of means mulitiplication

hope this helps:)

Answer:

1/2y > 22  

Step-by-step explanation:

Write an equation for the number y:

1/2 of y is more than 22

1/2 * y is more than 22 ('of' equals multiply)

1/2y = more than 22 ('is' equals a equal sign)

1/2y > 22 ('more' is greater than and not greater than and equal since it doesn't state anything that it could acctually be equal to)  

1/2y > 22  

(You can solve for y if you need to find the value of the number)                      

A snack recipe calls for 5 3/4 cups of cereal and 3 5/12 cups less of raisins. How many total cups of snack mix does the recipe make? Write in simplest form.

Answers

Answer:

10 1/12 cups

Step-by-step explanation:

Ok, so since we know that the recipe calls for 5 3/4 cups of cereal we can go ahead and say it's at least that much.

Then we have where it says there are 3 5/12 less cups of raisins we need to subtract this from 5 3/4 cups and we get 2 4/12 of raisins.

Final equation: 5 3/4+2 4/12= 10 1/12 cups

Hope this helps!!

110 calories
5 gummy bears
What is the unit rate per gummy bear?

Answers

Answer:

348.7 Calories (per 100 g)Step-by-step explanation:

Answer:

it is 22 because if you divide 110 ÷ 5=22

Solve each equation by taking square roots NEED THIS ASAO WILL GIVE BRAINLIEST

Answers

1. m1 = -9, m2 = 9
2. x1 = -10, x2 = 10
3. n1 = -3, n2= 3
4. x1 = -2, x2 =2

Brianna has a 50$ online gift certificate from a book store. The cost of each book is $9. There is also a shipping charge of 5$ for her entire order. How many books can Brianna buy without spending more than her gift certificate amount?

Answers

Answer:

5

Step-by-step explanation:

9x+5=50

9x=45

x=5

Brianna can buy up to 5 books without spending more than her gift certificate amount.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

If each book costs $9 and Brianna has a $50 gift certificate, we can start by dividing the total amount she can spend by the cost of each book.

$50 gift certificate / $9 per book = 5.55 books

Since Brianna cannot buy a fractional part of a book, she can only purchase a whole number of books.

Therefore, the maximum number of books she can buy without spending more than her gift certificate amount is 5 books.

Additionally, there is a $5 shipping charge for the entire order, so Brianna should make sure to factor this into her budget.

If Brianna buys 5 books at $9 each, the total cost of the books will be $45. Adding the $5 shipping charge brings the total to $50, which is the exact amount of her gift certificate.

Therefore, Brianna can buy up to 5 books without spending more than her gift certificate amount.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

B
7
25
с
24
А
Find sin(a) in the triangle.

Answers

Answer: 7/25

Step-by-step explanation:

got it correct on khan academy

which of the following best describes a cylinder?​

Answers

Answer:

The answer is C because a cylinder has a set of two parallel lines

Please help me if not that’s fine no links!

Answers

Answer:

30°

Step-by-step explanation:

53°+97°+x = 180°

The sum of three angles must equal 180°

Solve the equation.

150°+x = 180°

x = 180°-150°

x = 30°

Therefore, x = 30°

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

4y - 2(5 - y + 4) = 4y - 2(9 - y)

                         = 4y + 9*(-2) - y *(-2)

                         = 4y  - 18 + 2y      {Combine like terms 4y and 2y}

                         = 6y - 18

6y - 18 = 6*y - 6*3

           = 6(y - 3)

6y- 18 =  2 *3y - 2*9

          = 2(3y -9)

2(3y - 9) and 6(y- 3 ) are equivalent to 4y - 2(5- y +4)

Others are not equivalent

Brainliest for correct answer

Answers

D hope this helps xx

Help fast it’s for a test I do t wanna fail!!

Answers

Answer:

it is decreasing by 1/2 half every number to get the next answer is 6

Step-by-step explanation:

A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel? 4π 8π

Answers

Answer:

[tex]v=\dfrac{\pi}{2}\ ft/s[/tex]

Step-by-step explanation:

Given that,

A wheel with radius 1 foot makes 1 revolution in 4 seconds

We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :

[tex]v=r\omega[/tex]

Where

[tex]\omega[/tex] is angular velcocity,[tex]\omega=2\pi\ rad[/tex]

[tex]\omega=\dfrac{1}{4}\times 2\pi\\\\=0.5\pi\ rad/s[/tex]

So

[tex]v=1\times 0.5\pi\\\\v=\dfrac{\pi}{2}\ ft/s[/tex]

So, the linear velocity of the wheel is equal to [tex]\dfrac{\pi}{2}\ ft/s[/tex].

Answer:

pi/2

B

Step-by-step explanation:

Got it right on EG


Helpppppppppppppooopp

Answers

Answer:

I can't see clearly

Step-by-step explanation:

A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods.

a. The normal approximation to the binomial
b. The exact binomial tables

Answers

my brain can't process this lol

someon help me answer this!!

Answers

Answer:

12.0 units is the answer

Step-by-step explanation:

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-2))^2 + (1-(-8))^2}\\\\d=\sqrt{(8\\)^2+(9)^2} \\\\d=\sqrt{64+81} \\\\d=\sqrt{145} \\\\d=12.041...[/tex]

Rounding off,

d = 12.0 units

I need the area can someone help meeee pls?

Answers

Answer:

54ft

Step-by-step explanation:

9ft x 6ft

multiply polynomials (x+4)(x+5)

Answers

Answer:

[tex]x^{2} +9x+20[/tex]

Step-by-step explanation:

A y = 3x + 2
C y=-3x + 2
B y = 3x + 2
D y = - 3 x + 1/2

Answers

for a minute i thought it was c. y = -3x + 2.

1.
Which equation has a solution of 8?
A = 16
C 8
B =
r
8
B 4r = 16
D-2r= -16

Answers

Answer:

it's x + 2 = 10 ,x - 4 = 4 , 3 x =24 and x over 8 = 1

Step-by-step explanation:

I guess that's the right answer

Question 2
Points 3
The length of the rectangle is (x + 4) and width of the rectangle is (5 - X). Find the perimeter of the rectangle.

Answers

Answer:

Step-by-step explanation:

hello :

the perimeter of the rectangle is P=2(w+l)

l : The length  and w the width    ..... continu   calculate

HELPPP!!!


John is packing a box that is shaped like a cube and
has an edge that is 15 centimeters long. How much
space is available in the box for John to pack?

Answers

Answer:

810

Step-by-step explanation:

multiply them.  

Your welcome,

The radius of a circle is 28 centimeters. Which measurement is closest to the circumference of the circle in centimeters?​

Answers

Answer:

Solution in photo

Solve for x 103 (3x+4)

Answers

309x+412
X=309 over 412
X=3 over 4

how do you find how many pounds he used, and how many pounds did he use?

Answers

Answer:

I'm not too sure what you are referring too and I can't clearly see the image but I'll give you some tips!

One way to find out how many pounds he used is to add all the pounds you know he used (what is written down) or to multiply, divide, whatever is best for the situation

so yeah hope this helped!

Can anybody explain how to solve this? Ur girl is kinda in a crisis rn... ​

Answers

Answer:

Slope= 1/2

y-intercept= -1

Step-by-step explanation:

So the formula that the equation is following is y=mx+b.

M stands for slope and b is the y-intercept.

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