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)

Using the circle theorems, the value of z is 45

From the question, we are to determine the value of z

From the given information,

KM is a diameter

∴ ∠KLM = 90° (Angle in a semicircle)

Also, ΔKLM is isosceles

∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)

Then,

∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)

2× ∠KML + 90° = 180°

2× ∠KML = 180° - 90°

2× ∠KML = 90°

∠KML = 90°/2

∠KML = 45°

Now, we can observe that

z° = ∠KML (Angles in alternate segment)

But,

∠KML = 45°

∴ z = 45

Hence, the value of z is 45

Learn more on Circle Geometry here: https://brainly.com/question/17074363

#SPJ1

Answer:

y = 56/3

Step-by-step explanation:

Distribute:

37 - (y - 19) = 2y

37 - y + 19 = 2y

Add the numbers:

37 - y + 19 = 2y

56 - y = 2y

Rearrange the terms:

56 - y = 2y

-y + 56 = 2y

Solution:

y = 56/3

Answer:15

Step-by-step explanation:

A ladder is resting against a wall.The top of the ladder touches the wall at a height of 9 feet.Find the length of the ladder if the length is 3 feet more than its distance from the wall.

Let the distance of the ladder from the wall be x

The length of the ladder = x+3

The ladder touches the wall at a vertical height of 9 feet.

(x+3)^2 = x^2 + 9^2 ( using the pythagoras theorem

x^2 + 6x+ 9 = x^2 + 81

x^2- x^2 +6x = 81-9

6x= 72

x= 12

Therefore the length of the ladder will be x+3 = 12 + 3 =15 Answer.

Answer: Hope this helps you!

3

Step-by-step explanation:

9 (total amount) - 6 (1 part of it) = 3 (the other part of it)

Brainliest?

The Volume for Rectangular prism A is 172 inches², Volume = 112 inches³

Surface Area to Volume Ratio = 43/28

Given Data

Rectangular prism A

Length = 2 inches

Width = 7 inches

Height = 8 inches

Surface Area

A=2(wl+hl+hw)

A=2(7*2+8*2+8*7)

A=2(14+16+56)

A= 172 inches²

Volume

Volume = L*W*H

Volume = 2*7*8

Volume = 112 inches³

Surface Area to Volume Ratio

= 172/112

= 43/28

Learn more about Mensuration of Solids here:

https://brainly.com/textbook-solutions/q-7-composite-figures-use-diagram-backpack-right

#SPJ1

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

Find out more on transformation at: https://brainly.com/question/4289712

#SPJ1

The graph for Suav's trip is attached along with the values derived from the information provided.

The key to understanding the graph is that every time spent while he was on the way to the back and back are all added cumulatively.

So when he stops at the store which is 8 blocks away from home, the time spent is recorded as 4 + 2 at location 8 blocks.

It is also to be noted that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.

Learn more about graphs at:
https://brainly.com/question/19040584
#SPJ1

Answer:The entire area would be 12 square meters.

Step-by-step explanation:

2 x 6 square meters =  12 square meters. which is the entire area.

Answer:

remainder = 4

Step-by-step explanation:

using the remainder theorem

when f(x) is divided by (x - a) then the remainder is f(a)

so when f(x) is divided by (x - 7) the remainder is f(7) , that is

f(7) = 7³ - 13(7)² + 40(7) + 18

      = 343 - 13(49) + 280 + 18

      = 343 - 637 + 298

      = 4

Hence, the remainder is [tex]4[/tex].

What is the remainder value?

The remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient.

Applying the remainder theorem

In general when [tex]f(x)[/tex] is divided by [tex](x - a)[/tex] then the remainder is [tex]f(a)[/tex].

So, here when [tex]f(x)[/tex]  is divided by [tex](x - 7)[/tex]  the remainder is [tex]f(7)[/tex], that is

[tex]f(7)=7^3-13(7)^3+40(7)+18\\=343-13(49)+280+18\\=343-637+298\\=4[/tex]

Hence, the remainder is [tex]4[/tex].

To know more about the remainder

https://brainly.com/question/11230333

#SPJ2

To find the area of a complex shape:

 ⇒ must cut the whole shape into a simpler shape

Let's calculate:

             [tex]Area = \frac{1}{2}*4*8 + \frac{1}{2}*4*8=16+16=32\\[/tex]

             [tex]Area = \frac{1}{2}*4*10 + \frac{1}{2}*4*10=20+20=40[/tex]

             [tex]Area = 4 * 4=16[/tex]

Total Area: 32 + 40 + 16 = 88 in²

Answer: 88 in²

Hope that helps!

The values that represent those having type O blood are the values from 000 to 449.

RNG refers to a random number generator, this means that from 000 to 999 (a total of 1000 numbers) each has the same probability of being randomly selected by the program.

Then, if we want to represent a probability of the 45%, then 0.45 of the number of elements must be assigned to what we want to represent (having type O blood).

0.45*1000 = 450

Then we can assign the first 450 numbers to have type O blood, the first 450 numbers are: {000, 001, ..., 449}

So the values that represent those having type O blood are the values from 000 to 449.

If you want to learn more about probability:

https://brainly.com/question/251701

#SPJ1

The graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have:

Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.

Based on the information given we can say graph third represents the situation.

First Keisha ran to swim practice so the line first increases and then she  but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes which means the line should be constant.

Again they both ran so line increases.

Then they both stayed for 1 hour, so the line should be constant.

Thus, the graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

Learn more about the line chart here:

brainly.com/question/23680294

#SPJ1

Answer:

[tex]d)~ \dfrac{20}{29}[/tex]

Step-by-step explanation:

[tex]\sin B = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~=\dfrac{AC}{AB}\\\\~~~~~~~~=\dfrac{20}{29}[/tex]

Answer:

1. P(2 or 4) - 2/3

2. P(multiple of 2) - 1

3. P(multiple of 3) 1/3

4. P(odd prime numbers) 0

Step-by-step explanation:

Good luck lol

P(2 or 4) = 2/3

P( multiple of 2) = 1

P( multiple of 3) = 1/3

P(odd prime numbers) = 0

Probability is the likelihood of an event happening or not.

Analysis:

possible outcome = (2,2,4,4,6,6) = 6

P(2 or 4)

n( 2) = required outcome = (2,2) = 2

P(2) = 2/6 = 1/3

n(4) = (4,4) = 2

P(4) = 2/6 = 1/3

P(2 or 4) = 1/3 + 1/3 = 2/3

n( multiple of 2) = (2,2,4,4,6,6) = 6

P( multiple of 2) = 6/6 = 1

n(multiple of 3) = (6,6) = 2

P(multiple of 3) = 2/6 = 1/3

P(odd prime numbers) = 0

Learn more about probability: brainly.com/question/24756209

#SPJ1

The probability that Wesley draws an ace or a jack is 0.154 and the probability that Wesley draws a number card or a black card is 0.846

In a standard deck of cards, we have:

Total = 52

Ace = 4

Jack = 4

Ace and Jack = 0

The probability is then calculated as:

P = P(Ace) +P(Jack) - P(Ace and Jack)

This gives

P = 4/52 + 4/52 - 0/52

Evaluate

P = 0.154

Hence, the probability that Wesley draws an ace or a jack is 0.154

In a standard deck of cards, we have:

Total = 52

Number card  = 36

Black = 26

Number card and Black = 18

The probability is then calculated as:

P = P(Number card) +P(Black card) - P(Both)

This gives

P = 36/52 + 26/52 - 18/52

Evaluate

P = 0.846

Hence, the probability that Wesley draws a number card or a black card is 0.846

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

Answer: my guess is 4/13 and 11/13

Step-by-step explanation:

sorry if im wrong

Answer: No the expressions are not equal

Work Shown:

3² = 3*3 = 9

3³ = 3*3*3 = 27

3²+3³ = 9+27 = 36

3⁵ = 3*3*3*3*3 = 243

The 3²+3³ = 36 doesn't match up with 3⁵ = 243

Therefore, the two expressions are not equal.

Answer:

Step-by-step explanation:

No, the expressions are not equal.

3^2 + 3^3 = 9 + 27 = 36

3^2 * 3^3 = 3^5

keep the base the same and add the exponents

Answer:

47.14 cm

Step-by-step explanation:

Circumference :

The probability that Bridget makes all three free throws to win the game is; 42.2%

We are told that the probability of Bridget making her free throw correctly is 75%.

Now, if she has to get all three free throws correctly, then the probability for that is;

P(3 free throws correct) = 0.75 * 0.75 * 0.75

P(3 free throws correct) = 0.421875 ≈ 42.2%

Read more about Probability at; https://brainly.com/question/251701

#SPJ1

The time it would take for the bacteria to reach 1119 is 5.83 hours

Given the function:

[tex]Pt= P_0e^k^t[/tex]

To find the exponential growth;

80 = [tex]50e^k^*^3[/tex]

[tex]k= 1.6/3\\k= 0.533[/tex]

If there is a constant growth, then to get to 1119:

1119= [tex]50e^0^.^5^3^3^*t[/tex]

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

Read more about exponential growth here:

https://brainly.com/question/2456547

#SPJ1

Answer:

B: Save $10

Step-by-step explanation:

A: $14.80, B: $12, C:$18.70, D: $16.50

Answer:

Step-by-step explanation:

Answer:

=> Expand by applying the FOIL method

[tex]2x\cdot \:3x+2x\left(-8\right)-7\cdot \:3x-7\left(-8\right)[/tex]

=> combine like terms

[tex]6x^2-37x+56[/tex]

Answer:

b; [5]

Step-by-step explanation:

i took the quiz

The each type of angle are discussed below

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

If the hours hand point to the hour 1 and minute hand at 12 then

angle will be acute.

If the hours hand point to the hour 2 and minute hand at 12  then

angle will be acute.

If the hours hand point to the hour 3 and minute hand at 12  then

angle will be right angle .

If the hours hand point to the hour 4 and minute hand at 12  then

angle will be obtuse.

If the hours hand point to the hour 5 and minute hand at 12  then

angle will be obtuse.

If the hours hand point to the hour 6 and minute hand at 12  then

angle will be straight angle .

If the hours hand point to the hour 7 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 8 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 9 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 10 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 11 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 12 and minute hand at 12  then

angle will be Complete angle.

Learn more about angle here:

https://brainly.com/question/12129157

#SPJ1

The possible values of N from the given probability parameters is; N equals 15 or 21

We are told that;

Number of pens in the box = N

Let the number of red pens be x

Thus; number of black pens = x + 3

Thus;

x + x + 3 = N

x = (N - 3)/2

The probability that she will take a black pen followed by a red pen is;

P(she will take a black pen followed by a red pen) = (x + 3)/N * x/(N - 1)

Plugging in he relevant values and solving for N gives ;

Solving for N gives N equals 15 or 21

Read more about Algebra at; https://brainly.com/question/723406

#SPJ

The income tax for the married couples under filing a joint return receives a standard deduction of $25,100.

An income tax is a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction.

In this case, the income tax for the married couples filing a joint return receives a standard deduction of $25,100

Learn more about tax on:

https://brainly.com/question/25783927

#SPJ1

[tex]~~~~~~\dfrac{3x+15}{6-x} = 0\\\\\implies 3x +15 = 0\\\\\implies 3x = 0-15\\\\\implies 3x = -15\\\\\implies x = -\dfrac{15}3\\\\\implies x = -5[/tex]

Answer:

the answer=  -5

The sample space S =  {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}

It is defined as the space in which all possible outcomes are represented in a list form for a particular event.

We have:

A number cube with faces labeled from 1 to 6 will be rolled once.

Let S is the sample space:

As we know, the sample space is the set of all possible outcomes:

S = {1, 2, 3, 4, 5, 6}

The total number of outcomes:

n(S) = 6

The outcomes for the event of rolling the number 2.

E = {2}

n(E) = 1

Thus, the sample space S =  {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}

Learn more about the sample space here:

https://brainly.com/question/17144524

#SPJ1