each face of a cube is given a single narrow stripe painted from the center of one edge to the center of the opposite edge. the choice of the edge pairing is made at random and independently for each face. what is the probability that there is a continuous stripe encircling the cube?

Answers

Answer 1

The probability that there is a continuous stripe encircling the cube is 3/16.

A single, thin stripe is painted from the center of one edge to the center of the other edge on each face of a cube. Each face's edge pairing is selected independently and at random.

For each of the cube's six faces, there are two possible stripe orientations, resulting in a total of 2 x 6 = 64 possible stripe permutations. Since there are three sets of parallel faces, the stripe orientation for the remaining faces is determined uniquely by the pair of faces that does not contribute to the encircling stripe. Additionally, there are two possible orientations for the stripe on each face that is non-contributing.

A continuous stripe surrounds the cube as a consequence of a total of

3 * 2 * 2 = 12 stripe variations.

The necessary probability is 12/64, which equals 3/16.

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4


Related Questions

Expand using Pascal's triangle: (x + 1)4.

Answers

Answer:

[tex] {x}^{4} + 4 {x}^{3} + 6 {x}^{2} + 4x + 1[/tex]

Step-by-step explanation:

as shown in photo attached :")

What is the inequality of the graph below?

Answers

Answer:

it should be the first one, if not it’s the third

Step-by-step explanation:

ABCD is parallelogram. AED, CED and BCF are straight lines Find AED , DEF and CFE

Answers

By using the properties of parallelogram, it can be calculated that

[tex]\angle CFE = 30^{\circ}[/tex]

[tex]\angle[/tex]DEF = 70°

[tex]\angle AED = 110^{\circ}[/tex]

What is a parallelogram?

Parallelogram is a four sided two dimensional figure whose each pair of opposite sides are parallel.

Here, ABCD is a parallelogram

[tex]\angle CFE = 30^{\circ}[/tex] [Alternate angle]

[tex]140 = \angle CEF + \angle CFE[/tex] [ Exterior angle of a triangle is equal to the sum of two opposite interior angle]

[tex]\\\angle CEF = 140 - 30\\\angle CEF = 110^{\circ}[/tex]

[tex]\angle[/tex]DEF = 180 -  110 [ Angle on a straight line]

         = 70°

[tex]\angle AED = 110^{\circ}[/tex] [Vertically opposite angle]

To learn more about parallelogram, refer to the link-

https://brainly.com/question/970600

#SPJ1

Which values of aand b make the following equation true?
(5x²y²){-4xªy³) =−20xªy°
O
a = 11, b = 7
O a = 11, b = 10
O a=28, b = 7
O a= 28, b = 10

Answers

The value a = 2 and b = 5 is makes the expression (5x²y²){-4xªy³) =−20xªyᵇ as true.

Expression:

An expression is set of numbers or variables combined using the operations +, -, * and /.

Given,

Here we have the expression (5x²y²){-4xªy³) =−20xªy°.

Now, we have to the value of a and b which make both equation as equal.

In order to get the value a and b, first, we have to solve the expression in the left hand side,

To solve this type of equation, the first step is to combine the like terms, then we get,

=> (5x²y²){-4xªy³)

=> (5 x -4) (x² xᵃ) (y² y³)

Now, we have to do the multiplication on it, then we get,

=> -20 xᵃ⁺² y²⁺³

=> -20xᵃ⁺²y⁵

Now, we have to equate both LHS and RHS, then we get,

=> -20xᵃ⁺²y⁵ = -20xᵃyᵇ

While we looking into the equation, we have identified that the value of a is 2 and the value of b is 5.

To know more about Expressions here.

https://brainly.com/question/14083225

#SPJ1

help me please please please 33333

Answers

Correct Answer:
76cm^2

Explanation:
[(4 x 2 + 2 x 5 + 4 x 5) x 2] = (8 + 10 + 20) x 2 = 38 x 2 = 76cm^2

I would appreciate it if you mark my answer as brainliest.

Suppose each data value in a data set is multiplied by 8. What will
happen to the mean?

Select one:
- It will be 4 times as much.
- It will increase by 4.
- It will be 8 times as much.
It will increase by 8, as well.

Answers

I would say the answer is the last option

help help help me please

Answers

since we know the slope is 2 and we know one point (-1,5) on the x axis at 0 the y axis should be 7.
7 is the answer to this question

Kelly works at her own nail salon. Today, she did 11 manicures and received $55.00 in overall tips. If x represents the cost of each manicure, which of the following equations can be used to find the total amount of money she earned, including tips, for her nail salon today?

Answers

Answer:

5

Step-by-step explanation:

11x + 55 = total money earned.

help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The object has fallen 36 feet from its initial position.

Today, I want you to challenge yourself. Don't let word problems intimidate you. In this task you are not solving but rather setting up equations. I know you have the
ability to do this. Here we go!
19
A store sells two brands of headphones: high definition (HD) and basic. It buys x HD headphones at z dollars each, and y basic headphones at w dollars each.
In a-c, write an equation whose solution is the given quantity. Solve Each Equation and set them up.
a) The number of basic headphones the store can purchase if it spends a total of $10,000 on headphones and buys 110 HD headphones for $70 each.
b)
The price the store pays for HD headphones if it spends a total of $2,000 on headphones and buys 55 basic headphones for $20 each.
c) The price the store pays for HD headphones if it spends a total of $800 on headphones and buys eight basic headphones for $80 each.
d) Please give me the actual cost of the headphones and an explanation with a-c

Answers

The solution to these are in form of equation as follows.

What is equation?

In arithmetic, an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

x= number of HD headphones           y= number of basic headphones

z = price of HD headphones.             w = price of basic headphones

a)

110 (70) + y*w = 10,000

7,700+ y*w = 10,000

y*w = 2,300

y = 2,300/w

b)

x*z+ 55(20) = 2000

x*z = 2000 -1100

x*z = 900

z = 900/x

c)

x*z+y*w = 800

x*z+8(80) = 800

x*z+640=800

X*z=160

Hence the values to the equation are as follows.

To know more about equation click on the link below

https://brainly.com/question/18831322

#SPJ1

To keep in shape, Leah exercises at a track near her home. She requires 84 minutes to do 8 laps running and 10 laps walking. In contrast, she requires 66 minutes to do 2 laps running and 10 laps walking. Assuming she maintains a consistent pace while running and while walking, how long does Leah take to complete a lap? Leah takes minutes to run a lap and minutes to walk a lap.

Answers

Using a system of equations, it is found that:

Leah takes 3 minutes to run a lap and 6 minutes to walk a lap.

What is the system of equations?

The variables of the system of equations are presented as follows:

Variable x: time required to complete a lap running.Variable y: time required to complete a lap walking.

She requires 84 minutes to do 8 laps running and 10 laps walking, hence the first equation is:

8x + 10y = 84.

She requires 66 minutes to do 2 laps running and 10 laps walking, hence the second equation is:

2x + 10y = 66.

Simplifying by 2, we have that:

x + 5y = 33.

x = 33 - 5y.

Replacing in the first equation, we can find the time it takes to walk a lap, as follows:

8(33 - 5y) + 10y = 84.

264 - 40y + 10y = 84

30y = 180

y = 180/30

y = 6 minutes.

Then the time it takes to run a lap is obtained as follows:

x = 33 - 5y = 33 - 5(6) = 33 - 30 = 3 minutes.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Select the correct answer. Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for x, the number of minutes it will take Amy to finish typing her paper? A. 38x − 1,450 > 76 B. 38(x + 1,450) > 4,000 C. 38x > 4,000 D. 38x + 1,450 > 4,000

Answers

The inequality that can be used to solve for x, the number of minutes it will take Amy to finish typing her paper is D. 38x + 1,450 > 4,000.

What is an inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Since Amy types at an average speed of 38 words per minute and has already typed 1,450 words of her final paper, which will be more than 4,000 words.

Let the number of minutes be x.

This will be:

1450 + 38(x) > 400

1450 + 38x > 4000

In conclusion, the correct option is D.

Learn more about inequalities on:

brainly.com/question/25275758

#SPJ1

Can anyone state the vertex of the graph?

Answers

There is no vertex in the graph and the transformations from are

Vertical shift down 2Horizontal shift left 4

How to determine the vertex of the graph?

By definition, a graph that has a vertex would have an obvious maximum or minimum point on it

In this case, there is no point that can be regarded as the minimum or the maximum in this graph

This means that the graph has no maximum or minimum; in other words, there is no vertex

The transformation from the parent function

The parent function of the above graph is a cubic function

A cubic function passes through the origin

However in this graph, we can see that the graph is 4 units to the left of the origin and 2 units below the origin

This means that the transformation is (x - 4, y - 2)

Read more about vertex and transformations at

brainly.com/question/15709421

brainly.com/question/4289712

#SPJ1

Tim, Paco, Maria, and Jenny are standing in line for lunch. Jenny is standing between Paco and Maria, and Paco’s position in line is an odd number. Tim is not standing on either end of the line, and he is in front of Jenny.

Which friend is standing first in line?

Answers

1- Paco
2- Tim
3- Jenny
4- Maria

Answer: Paco is standing first in line

Answer:

Paco, Tim, Jenny, Maria

Step-by-step explanation:

help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3

The quadratic function is

f(x) = [tex]-3x^2[/tex] + 18x + 3

The general form of the quadratic function is

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

If a < 0, the quadratic function has maximum value

Here the value of a = -3

Therefore the function has maximum value.

Maximum value will be at x = -b / 2a

= -18 / 2(-3)

= -18 / -6

= 3

The maximum value of quadratic function will be (4ac - [tex]b^2[/tex]) /4a

Substitute the value in the equation

(4ac - [tex]b^2[/tex]) /4a = (4×-3×3 - 18×18) / 4×-3

= (-36 - 324 / -12

= -360 / -12

= 30

Hence, the function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3

Learn more about function here

brainly.com/question/14996337

#SPJ1

each of ncustomers gives a hat to a hat-check person at a restaurant. the hat-check person gives the hats back to the customers in a random order. what is the expected number of customers that get back their own hat? derive your answer by using random variables and expected values of random variables.

Answers

The expected number of customers that get back their own hat is 1.

Define the term random variables?A random variable is called with an unspecified amount or a function that gives values to each of the results of an experiment. There are two types of random variables: discrete (having specified values) and continuous (value in a continuous range).

Utilizing indicator random variables, we resolve this issue. For 1 ≤ i ≤ n,

Let .

Xi = I {Customer 'i' who gets his hat back itself}.

The number of clients that receive their own hats back should be the random variable X. We want to figure out E[X].

Clearly,

      n

X = ∑ Xi

    i=1

It is clear that 1/n represents the likelihood that customer 'I' will receive his own hat.

Due to the fundamental characteristics of indicator random variables, this means that E[Xi] = 1/n.

                   n

  E[X] = E [ ∑ Xi  ]

                  i=1

                   n

           =  ∑ 1/n

                  i=1

Put the limits.

  E[X] = 1

As a result, 1 consumer is anticipated to have their own hats back.

To know more about the random variables, here

https://brainly.com/question/14356285

#SPJ4

- 7 (x + 2) - x = 2
Please help!!!

Answers

Answer:

-2

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

distribute

-7x-14-x=2

-8x-14=2

    +14. +14

-8x=16

/-8. /-8

x=-2

Hopes this helps please mark brainliest

Use the diagram and the given angle measure to find the other three angle measures

Answers

By using the diagram and the given angle measure we get that:

if, m∠1 = 143°

then, m∠2 = 37°

         m∠3 = 143°

         m∠4 = 37°

What is angles?

An angle is formed when two straight lines or rays meet at a common endpoint.

What is Properties of Congruence?

Reflexive Property:

       For all angles A ,

        ∠A≅∠A .

       An angle is congruent to itself.

Symmetric Property:

        For any angles A  and  B ,

        if ∠A≅∠B , then ∠B≅∠A .

         Order of congruence does not matter.

Transitive Property:

        For any angles A,B,  and  C ,

        if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C .

        If two angles are both congruent to a third angle, then the first two        angles are also congruent.

I assume that, this refers to two intersecting lines which form four angles.

∠1 and ∠2 are supplementary angles whose sum is 180°.                                      

         ∠1 + ∠2 = 180°

          143° + ∠2 = 180°

          ∠2 = 180° - 143°

          ∠2 = 37°.

∠1 and ∠3 are vertical angles so do with ∠2 and ∠4.Therefore, it is easy to find their measures because vertical angles are congruent in measure.

         It means that,  ∠1 = ∠3 =143° (properties of congruency)

         and ∠2 = ∠4 =37° (properties of congruency).

Find out more about angles and congruent angles:

https://brainly.com/question/25716982

#SPJ1

A fence is to be built to enclose a rectangular area of square feet. The fence along three sides is to be made of material that costs ​$ per foot. The material for the fourth side costs ​$ per foot. Find the dimensions of the rectangle that will allow for the most economical fence to be built.

Answers

The dimensions of the rectangle that will allow for the most economical fence to be built is 50 feet and 25 feet in length and width respectively.

Given in the question,

Area = 1250 ft²

The three sides cost $3 per foot, and the fourth side costs $9 per foot.

Let x and y be the length and width of the rectangle.

Because the area is 1250 ft², therefore

xy = 1250, or

y = 1250/x            

Case 1: Three sides are (x,y,x) and the 4-th side is y.

The cost is

C = 3(2x +y) + 9y

  = 6x + 12y

  = 6x + 12(1250/x)

  = 6x + 15000/x

For C to be minimum, C' = 0. That is

6 - 15000/x² = 0

x² = 15000/6

x =  50 ft, y = 1250/50 = 25 ft

C = 6(50) + 15000/(50²) = $600

Case 2: Three sides are (y,x,y) and the 4-th side is x.

The cost is

C = 3(x + 2y) + 9x

   = 12x + 6y

   = 12x + 6(1250/x)

   = 12x + 7500/x

For C to be minimum, C' = 0.

12 - 7500/x² = 0

x² = 7500/12 = 625

x = 25 ft, y = 50ft

C = 12(25) + 7500/25 = $600

Thus, the Dimensions will be 25 feet and 50 feet.

Question:

A fence is to be built to enclose a rectangular area of 1250 square feet. the fence along three sides is to be made of material that costs ​$3 per foot. the material for the fourth side costs ​$9 per foot. find the dimensions of the rectangle that will allow for the most economical fence to be built.

To Learn more about Questions on Dimensions of Rectangle:

https://brainly.com/question/6768558

#SPJ4

the mean of a population of iq scores is 100. what is the mean of the distribution of sample means for samples of size 64?

Answers

The mean of the distribution of sample means is 100.

Considering the values provided in the question,

Population mean = 100

We know that,

The sample mean is a reliable indicator of the population mean.

That is, E( sample mean)=Mean(sample mean)= population mean

Here population mean is 100, therefore mean of distribution of sample means is also 100.

The total of all the values in a sample is known as the Sample Mean. It is a statistical metric used to examine different variables throughout time. It is calculated by statisticians and researchers by dividing the total sum of all data fragment values by the total number of data sets.

Learn more about Sample mean at,

https://brainly.com/question/14127076

#SPJ4

what do you add to 3and 3/8 to make 6

Answers

21/8 must be added to the terms to give the result as 6. The answer will be in a fraction.

What is a fraction?

In general, any number of equal pieces is represented by a fraction, which is a portion of the entire. In ordinary English, a fraction refers to the number of parts of a specific size.

Main Body:

Let the term to be added be x.

3+3/8+x =6

on solving this we will get the value of  x= 21/8

Hence the answer of this question is 21/8.

to learn more about fraction click on the link below.

https://brainly.com/question/12099796

#SPJ1

help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Function [tex]-3x^2+18x+3[/tex] has maximum value at x = 3 and its maximum value is 30.

How do you find the maximum and minimum value of the function?

Calculus can be used to find the critical point, or the x-value of the vertex, by taking the derivative of the function, or f'(x). To determine the critical point, we shall set the function's first derivative to zero and solve for x. This point's maximum or minimum value can be determined by taking the second derivative, or f"(x). The second derivative will have a minimal value if it is positive. The second derivative will be the highest value if it is negative.

Given function:

[tex]-3x^2+18x+3[/tex]

To find the maximum and minimum value of the function use second derivative test.

On differentiating the above function we get,

-6x + 18

Now, find critical point

-6x + 18 = 0

-6x = - 18

x = - 18/-6 = 3

x = 3

Here, x = 3 is the critical point. Now again differentiate the above function we get,

-6

As , [tex]f^{''}(x)[/tex] < 0 , therefore x = 3 will given a maximum value of function and maximum value is

f(3) = [tex]-3(3)^2+18x+3 = -3(9) + 18(3) + 3 = -27 + 54 + 3 = 27 + 3 = 30[/tex]

Hence , function [tex]-3x^2+18x+3[/tex] has maximum value at x = 3 and its maximum value is 30.

To learn more about the maximum and minimum value of the function from the given link.

https://brainly.com/question/82347

#SPJ1

one year, the scores on the test were approximately normally distributed with a mean of 420 and a standard deviation of 70. the 81st percentile for this test was . . .

Answers

81 percentile of the given test is 482

The square root of the means of the squared deviations from the arithmetic mean is known as the standard deviation. Standard deviation is used in finance to quantify the risks associated with an investment instrument.

Given that the Marble Academy of Whoville conducts an annual test for all high school juniors one year, the scores on the test were approximately normally distributed with a mean of 420 and a standard deviation of 70

Here mean μ = 420 and Standard deviation σ = 70

We have find 81 percentile of this test = ?

The z score corresponding to the area 0.81 is

Z = 0.88  By standard normal table

X = μ + z σ

X = 420 + 0.88 x 70

= 420 + 62

= 482

Therefore 81 percentile of this test is 482

To learn more about standard deviation visit

https://brainly.com/question/16555520

#SPJ4

Please answer as quick as possible (timed)

Answers

Table C is the only table that represents a function

How to identify a function?

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

Based on the definition of function as seen above. Let's check the tables:

Table A has two inputs with the same value (4)  but with different outputs. So  Table A is not a function

Table B also has two inputs with the same value (9)  but with different outputs. Thus, Table B does not represent a function

In Table C  each input has exactly one output. Table C represents a function

Table D also has two inputs with the same value (8)  but with different outputs. So Table D does not represent a function

Therefore, Table C represents a function

Learn more about function on:

brainly.com/question/29233399

#SPJ1

suppose the counts recorded by a geiger counter follow a poisson process with an average of 2 counts per minute. what is the probability that there are no counts in a 30 second interval? round your answer to 3 decimal places. suppose the counts recorded by a geiger counter follow a poisson process with an average of 2 counts per minute. what is the probability that there are no counts in a 30 second interval? round your answer to 3 decimal places.

Answers

The probability that there are no counts in a 30 second interval is 0.284

What is probability ?

Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Before we can determine the probability that a particular event will occur, we must first know the total number of outcomes.

Given that,

Assume that a Geiger counter records counts using a poisson process, with an average rate of 2 counts per minute.

0.284

P(X < 10 Seconds)  = P(X<1/6 minutes) = F(1/6) = 1-e-2*1/6 = 1-e-1/3 = 0.284

Therefore, the  probability that there will be no counts in a 30-second period is 0.284.

Learn more about poisson process:

brainly.com/question/28085239

#SPJ4


if saint cloud is growing according to the equation pn= 200(1.03)n where n is years after 2010, and the population is measured in thousands. find when the population will be 400 thousand.

Answers

In 2267 year, this population would be 400000.

From the question, we have

population is growing as  Pn = 200*(1.03)n

substituting the value, we get

400000 = 200*(1.03)n

2000 = 1.03n

ln(2000) = n*ln(1.03)

n = ln(20000) / ln(1.03)

n = 257.15

2010 + 257.15 = 2267 year , this population would be 400000.

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

To learn more about multiplication visit: https://brainly.com/question/5992872

#SPJ1

Explain how it is possible to determine whether the graphs of 5x−3y=2 and 5x-3y=8 are parallel without doing any calculations

Answers

The slope of line 1 and line 2 are equal. Then the lines are parallel to each other.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the parallel lines will be equal.

The equations are given below.

5x − 3y = 2             ...1

5x − 3y = 8            ...2

The slope of line 1 is given as,

5x − 3y = 2

y = (5/3)x − 2/3

The slope of line 1 is 5/3.

The slope of line 2 is given as,

5x − 3y = 8

y = (5/3)x − 8/3

The slope of line 2 is 5/3.

The slope of line 1 and line 2 are equal. Then the lines are parallel to each other.

The graph is given below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest. What was her initial deposit

Answers

Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700

Use the simple interest formula

I = P r t

where I = simple interest

P = principal

r= rate of interest

t= number of years

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

learn more about of amount here

https://brainly.com/question/27054498

#SPJ4

3.472 divided by ____=0.112 free 25 points!!

Answers

When the divisor is missing, you divide the dividend (3.472) by the quotient (0.112)

So, we will do 3.472 divided by 0.112

3.472/0.112 = 31

Another method is multiplication. Multiplication is the opposite of division. We'd multiply 0.112 by 31.

0.112 x 31 = 3.472

In conclusion,

3.472/31 = 0.122

If you need extra help, use this video as a reference

https://youtu.be/9ui8Yh0bwCI?t=83

Answer: 3.472/31 = 0.122

Step-by-step explanation: I hope this helps:)

What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Equation of the line for the given graph in slope-intercept form is given by  y = 5x -1.

As given in the question,

From the given graph,

Consider pair of two coordinates we have,

(x₁ , y₁) = (1, 4)

(x₂ , y₂) = (0,-1)

Equation of the line for the given graph in slope-intercept form is given by:

(y -y₁) / (x -x₁)= (y₂ -y₁) / (x₂ -x₁)

⇒ ( y - 4)/ (x -1) = (-1-4)/(0-1)

⇒(y-4)/(x-1) = 5

⇒y-4 = 5(x-1)

⇒y = 5x -5 +4

⇒ y= 5x -1

Therefore, equation of the line for the given graph in slope-intercept form is given by  y = 5x -1.

Learn more about slope-intercept form here

brainly.com/question/9682526

#SPJ1

Other Questions
In which direction does heat always flow how did cross-cultural interactions spread technology and facilitate changes in trade and travel from 1450-1750? HURRY PLEASE Write a noble story in two paragraphs using these words: knight, castle, maiden, huzzah, gold marissa purchases $500 of stock directly from a corporation without having to use an account executive or a brokerage firm. she is using a which term refers to the 100-mbps standards, even though there are now much faster versions of ethernet available? In the above map, the Pacific plate (oceanic crust) collides with the South American plate (continental crust). Based on the data you mapped and the shape it made above, which plate is more dense and slides under the other? Continental crust this is actually for earth science 1. What is an example of something especially difficult about a sports game's user interface design? Why is it so hard?2. Let's say you wanted to make an American Football game. What is an example of a legal issue you'd have to watch out for? Dan spends 34 of his wages on rent and18 on food. If he makes 240 per week, how much money does he have left? 2. Look up the word Hubris in an online dictionary. How does this word apply to King Midas? what is the moment of inertia of the object starting from rest if it has a final velocity of 6.1 m/s? express the moment of inertia as a multiple of mr2 , where m is the mass of the object and r is its radius. generally, vertical lines in a composition cause the viewer to experience which of the following feelings? excitement. security. tension. peace (1) what is the complete ground state electron configuration for the nitrogen atom? (2) what is the complete ground state electron configuration for the vanadium atom? a government agency wished to estimate the proportion of drivers aged 16-24 who have been involved in a traffic accident within the last year. the agency wished to make the estimate within one percentage point and at 90% confidence. find the minimum sample size required, using the information that, several years ago, the proportion was 0.12. the true interest rate used by investors to value a bond issue is referred to as the: multiple choice question. market interest rate prime interest rate stated interest rate nominal interest rate Which pairs of triangles are similar? check all that apply. abc ~ def def ~ ghi ghi ~ abc ghi ~ jkl jkl ~ abc Last year when the 6th graders attended camp the ratio of boys to girls was 4:6. If there were 50 more girls how many boys attended camp? Find the error in the calculations below, if there is one:Line (1): 4x + 2x 6x +3Line (2): = 2x(2x + 1) 3(2x + 1)Line (3): = 2x(2x + 1) + ( 3)(2x + 1)Line (4): = (2x 3)(2x + 1) what do cellular respiration and photosynthesis have in common? answer unselected both use glucose. unselected both take place in animal cells. unselected both require sunlight. unselected both produce (and use) atp. pls help? i dont know any of this if Julie average arts test score at 85 and what would you predict her average math test score would be