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


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)

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

Answers

Answer 1

The y-intercept is 3.75, and the equation of the line of best fit is

y = 1.5x + 3.75, and after 13 months, 23 matches could be won.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

Part A:

As we can see in the graph, the line crosses the y-axis at a certain point between 3 and 4.5.

So the y-intercept lies between 3 and 4.5

We can take the middle of these two values to get the approximate value of the y-intercept.

b = (3+4.5)/2 = 3.75

We know the line of the best fit is:

y = mx + b

y = mx + 3.75

b is the y-intercept and m is the slope of a line

Plug the point (9, 18) in the equation to get the value of m:

18 = 9m + 3.75

m = 1.5

y = 1.5x + 3.75

Plug x = 13 months in the above equation:

y = 1.5(13) + 3.75

y = 23.25 ≈ 23 number of matches that could be won

Thus, the y-intercept is 3.75, and the equation of the line of best fit is

y = 1.5x + 3.75, and after 13 months, 23 matches could be won.

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Related Questions

5. Jared is playing a game that involves rolling a die and flipping a coin. 6. Please describe an event that may occur in this game. 7. What is the probability that he will roll a 5 and get a head

Answers

An event that may occur in the game is you roll a  and get a tail.

The probability that he will roll a 5 and get a head is 1 / 12.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that he will roll a 5 and get a head = (Number of sides with a 5 / number of sides in a cube) x (number of sides with a head / number of sides in a coin)

1/6 x 1/2 =  1 / 12.

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What is the slope of the line x = 4?
A. 4
B. Undefined
C. 1
D.O

Answers

Option a is the best answer

Rewrite in simplest radical form 1 x^-3/6 . Show each step of your process.

Answers

this is the answer to your question.

What is GC?
A. 9
B. 12
C. 13
D. 14

Answers

Answer:

C 13

Step-by-step explanation:

i think answer its c

Answer:

nah man it's 12without a doubt look over at d a that's 13 if you compare the to gc is smaller in length so it is 12

wo containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 12 feet and a height of 13 feet. Container B has a radius of 8 feet and a height of 16 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full

Answers

The percentage of Container A that is full after the pumping is complete is; 45.3%

How to find the Volume of a Cylinder?

The formula for volume of a cylinder is;

V = πr²h

Volume of Cylinder A is;

V = π × 12² × 13

V = 1872π

Volume of Cylinder B is;

V = π × 8² × 16

V = 1024π

After pumping, volume in container A will be;

V_new = 1872π - 1024π

V_new = 848π

Percentage is;

848π/1872π * 100% = 45.3%

Thus, 45.3% of Container A is full after the pumping is complete.

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(5√3-√27)^2
How do you prove this is an integer?

Answers

Expand the square. Remember that

(a - b)² = a² - 2ab + b²

With a = 5√3 and b = √27, we have

(5√3 - √27)² = (5√3)² - 2 (5√3) √27 + (√27)²

… = 25•3 - 10√81 + 27

… = 75 - 10√(9²) + 27

… = 102 - 10•9

… = 102 - 90

… = 12

I NEED HELP ASAP Which graph represents the function?


f(x)=√x + 1

Answers

Answer:

Step-by-step explanation:

It looks like the best option is 3.

Given the equation,

we can make a table. x as input and y as output to get our points to the graph.

I have used the desmos graph as a reference to confirm the equation by graphing also. The table is also there.

A sequence defined by f (1) = 3 and f (n) = 2 - f (n - 1) for n ≥ 2. Which of the following
statements defines the n' term of f?

Answers

Answer:

None of these

Step-by-step explanation:

See attached image

So

f(n)=2.f(n-1)

Like that

f(2)

2.3=3×2¹

f(3)

2.2.3=3×2²

As you can see

It's an geometric progression

first term=a=3common ratio =r=2

So the formula is

f(n)=3.2^{n-1}

None of the above

what is measured by the speed of doing work

Answers

Power is often measured in joules of work per second

Solve using the quadratic formula. (2 points)
20. -2x²-3x + 5=0

Answers

Answer:

-2x²-3x+5=0

-2x²+2x-5x + 5 = 0

-2x(x+1)-5(x + 1) = 0

(x+1) (-2x-5) = 0

What is the missing reason for the 4th step in the proof below?

Answers

The reason for step 4 that is missing is: definition of linear pair.

What is a Linear Pair of a Straight Line Angle?

A line pair are two angles on a straight line whose sum equals 180 degrees.

Angles ANV and ANR line on a straight line and are therefore linear pair. This implies that:

m∠ANV + m∠ANR = 180 degrees

Therefore, the missing reason is: definition of linear pair.

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Multiple Choice Worth 5 points)
(02.07 MC)
In the figure shown, what is the measure of angle x?
40⁰
D
B
70°
O 100 degrees
O 110 degrees
120 degrees
O 140 degrees

Answers

Answer:

110 is the correct answer...

the answer is 110 so it would be B

Pls help asap I’ll give brainliest show all your work to pls

Answers

Answer:

It takes 13 hours and 15 minutes to paint longer walls of the house

Step-by-step explanation:

Given:

Rectangular house. Painting of the longer walls takes 8 hours longer than painting shorter walls.Total time to paint is 18.5 hours.

Let the length of shorter sides be x and longer sides be y.

Then we have the system:

y = x + 8x + y = 18.5

Solve it by substitution:

x + x + 8 = 18.52x + 8 = 18.52x = 10.5x = 10.5/2x = 5.25

Find the value of y:

y = 5.25 + 8 = 13.25 hours or 13 hours and 15 minutes

Shorter one be x

longer one=x+8

Total time=18.5h

So

x+x+8=18.52x+8=18.52x=18.5-82x=10.5x=10.5/2x=5.25hours

Time required for longer side

5.25+813.25hours

A quadrilateral has two angles that measure 200° and 110°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

20° and 30°

Step-by-step explanation:

the sum of the 4 angles in a quadrilateral = 360°

given 2 angles are 200° and 110° , then remaining 2 angles sum to

360° - 200° - 110° = 360° - 310° = 50°

sum the parts of the ratio, 2 + 3 = 5 parts , then

1 part = 50° ÷ 5 = 10° , so

2 parts = 2 × 10° = 20°

3 parts = 3 × 10° = 30°

the two angles are 20° and 30°

i need help please thanks​

Answers

same, highest exponent

Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3

Answers

Answer:

Step-by-step explanation:

As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].

The famous quadratic formula for solving any second order equation is the following:

[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]

Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,

[tex]a = 3\\b=4\\c=-2[/tex]

as the equation should be in the following form:

[tex]a x^2 + bx+c = 0[/tex]

Therefore the possible answer should be the following,

[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]

by dividing the numerator and denominator by 2, we can deduce the following,

Anya graphed the line (y−2)=3(x−1) on the coordinate grid.

A coordinate plane with a line passing through the points, (negative 2, negative 7), (0, negative 1), and (1, 2).

What is the slope of Anya’s line?

Answers

The slope of Anya’s line on the graph is 3

How to determine the slope of the line?

The equation is given as:

(y−2)=3(x−1)

Remove brackets

y − 2 = 3x − 3

Add 2 to both sides

y = 3x − 1

A linear equation is represented as:

y = mx + c

Where m represents the slope;

By comparison, m = 3

Hence, the slope of Anya’s line is 3

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Answer:

3

Step-by-step explanation:

its right

1. Basketball practice begins at 6:30 P.M. and
lasts until 8:15 P.M. How much time does
practice last?

Answers

1 hour and 45 minutes

Someone pls help me ASAP! Express the following as the sum of its partial fraction: 2x+4/x(x+2)(x-4)​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2x+4}{x(x+2)(x-4)} =\frac{a}{x} +\frac{b}{x+2} +\frac{c}{x-4} \\2x+4=a(x+2)(x-4) +bx(x-4)+cx(x+2)\\[/tex]

put x=0

0+4=a(0+2)(0-4)+0+0

-8a=4

a=-4/8=-1/2

put x+2=0 or x=-2

2(-2)+4=0+b(-2)(-2-4)+0

12b=0

b=0

put x-4=0 or x=4

2(4)+4=0+0+c(4)(4+2)

24c=12

c=12/24=1/2

[tex]\frac{2x+4}{x(x+2)(x-4)} =\frac{-1}{2x} +0+\frac{1}{2(x-4)} \\\frac{2x+4}{x(x+2)(x-4)} =\frac{-1}{2x} +\frac{1}{2(x-4)}[/tex]

Given that XW bisects AXZ, what theorem or theorems could be used to justify that W is equidistant from the two outside rays?

Answers

Answer:

  HA congruence postulate

Step-by-step explanation:

In order to show W is equidistant from A and Z, we must demonstrate that WA ≅ WZ. The HA congruence postulate can be used for that purpose.

__

proof

WX bisects AXZ, so ∠WXA≅∠WXZ by the definition of an angle bisector. By the reflexive property of congruence, WX≅WX. The angles at A and Z are given as right angles.

So, we have triangles WAX and WZX that are right triangles with congruent hypotenuse and corresponding angle. These are the preconditions for the application of the HA congruence postulate. That postulate says the triangles WAX and WZX are congruent, so ...

WA ≅ WZ by CPCTC. Hence W is equidistant from the outside rays.

__

Additional comment

The definition of distance from a point to a line is the perpendicular distance from the point to the line. In this geometry, the perpendicular distances from W to the outside rays are the lengths of segments WA and WZ. That is why we need to show those lengths are the same.

1. A basketball has a volume of 167 in³. What is the circumference of the basketball, in terms of ? Show your work.​

Answers

Answer:

21.47034391

by using the formula of volume i found radius and after that i use the formula of circumference and found it

hope you will understand

volume=4/3πr^3 and circumference= 2πr

Direction: Read and understand each problem and solve. Show your solution if necessary.

1. There are 3 gold medalist, 5 silver medalist and twelve bronze medalists. One student is randomly chosen for an interview. Find the probability that the student is a silver medalist.

2. A letter is chosen from the word MATHEMATICS. What is the probability that the letter is?
a. consonant?
b. vowel?
c. not a letter A?

3. Suppose the probability that a television is defective is 0.123. What is the probability that a television is not defective? ​

Answers

[1] 0.25, 0.25%, or [tex]\frac{1}{4}[/tex]

     We will divide the number of wanted outcomes by possible outcomes.

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{5}{3+5+12} =\frac{5}{20} =\frac{1}{4}[/tex]

[2]

     We will follow the same steps as problem 1.

MTHMTCS = 7 consonants

AEAI = 4  vowels

MTHEMTICS = 9 letters that are not A's

MATHEMATICS = total of 11 letters

(a)

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{7}{11}[/tex]

(b)

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{4}{11}[/tex]

(c)

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{9}{11}[/tex]

[3] 0.877

     If the probability that a television is defective is 0.123, then the probability that a television is not defective is:

1 - 0.123 = 0.877

which description is represented by a discrete graph

Answers

The statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.

What is Discrete Graph?

A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't have data in between the points already given.

Here only first option shows a graph with scattered point.

Thus, the statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.

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A golf ball, thrown upwards, rises at a speed of v metres per second.
The ball reaches a maximum height of h metres.
h is proportional to the square of v.
When v = 10, h = 8
Work out the maximum height reached by the golf ball when v = 45

Answers

Answer:

162 metres

Step-by-step explanation:

Since h is proportional to the square of v, we know that their ratio must be constant, so [tex]v_1^2/h_1 = v_2^2/h_2[/tex] where v1 and v2 are velocities and h1 and h2 are their respective heights.

Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get

10^2/8 = 45^2/h2

h2 = 45^2/(10^2/8) = 162 metres

I hope this helps!

(6+9i)(6-9i) How to solve?

Answers

[tex]~~(6+9i)(6-9i)\\\\=6^2-(9i)^2~~~~~~~~~~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)]\\\\=36-81i^2\\\\=36-81(-1)~~~~~~~~~~~~~~~~;[i^2 = -1]\\\\=36+81\\\\=117[/tex]

Solve the inequality.
|6p+3|>15

A. p>-2 or p<3
B. p<2 or p>-3
C. p<-2 or p>3
D. P>2 or p<-3

Answers

Answer:

D. P>2 or p<-3

Step-by-step explanation:

1. Apply absolute rule :

6p + 3 < -15 or 6p + 3 > 15

2.6p + 3 < -15 or 6p + 3 > 15

P < - 3 or P > 2

Which pair or pairs of polygons are congruent?

Answers

Answer:

2

Step-by-step explanation:

Congruent shapes are 2 shapes that are ewual in size angles and sides, but they can be rotated or moved around in any way

Factor, using magic x. x^2-8x-9
PLEASE HELP VERY URGENT THE SOONER THE BETTER.

Answers

Answer:

(x+1)(x-9)

Step-by-step explanation:

x^2+x-9x-9=0
x*(x+1)-9(x+1)=0
(x+1)(x-9)=0
x+1=0
x-9=0
x=-1 and x=9

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)?
x3 – x2
–x3 + x2
–x3 + x2 – 1
x3 – x2 + 1

Answers

Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.

Given the following data:

u(x) = x⁵ – x⁴ + x²v(x) = -x²

What is an expression?

An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.

In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:

u(x) = x⁵ – x⁴ + x²

u(x) = x²(x³ – x² + 1)

Rewriting the expressions as a fraction, we have:

[tex]\frac{u(x)}{v(x)} = \frac{x^2(x^3 - x^2 + 1)}{-x^2}\\\\\frac{u(x)}{v(x)} = -(x^3 - x^2 + 1)\\\\\frac{u(x)}{v(x)} = -x^3 + x^2 - 1[/tex]

Therefore, u(x)/v(x) = -x³ + x² - 1.

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Answer:

c

Step-by-step explanation:trust

Simplify the expression: 4+(11-3)²

Answers

Answer:

68

Step-by-step explanation:

[tex]4+\left(11-3\right)^2\\(11-3)=8\\=4+8^2\\=4+64\\=68[/tex]

It is 68 because in PEMDAS, you solve parentheses first, so 11-3 is 8, then you solve exponents so 8 to the second is 64, then add 64 and 4 to get 68
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