Kimiko and Miko are playing a game in which each person rolls a number cube. If the sum of the numbers is a prime number, then Miko wins. Otherwise, Kimiko wins. Is this game fair? Select the response with the correct answer and an argument that correctly defends the response. Multiple choice question. A) no; The probability that Miko will win is 712 . Because 712 is greater than 512 , Miko has a greater chance of winning. B) no; The probability that Kimiko will win is 712 . Because 712 is greater than 512 , Kimiko has a greater chance of winning. C) no; The probability that Kimiko will win is 812 or 23 . Because 23 is greater than 13 , Kimiko has a greater chance of winning. D) yes; The probability that Kimiko will win is 612 or 12 . Since Kimiko's probability of winning is 12 Miko's probability of winning must also be 12 .

Answers

Answer 1
Answer:  Choice B)

No; the probability that Kimiko will win is 7/12. Because 7/12 is greater than 5/12, Kimiko has a greater chance of winning.

===========================================================

Explanation:

The prime number sums possible are: {2, 3, 5, 7, 11}

Below is the list of ways to reach those prime sums. Focus on the items in bold. The non-bolded numbers to the left are there to keep count of things.

1+1 = 21+2 = 31+4 = 51+6 = 72+1 = 32+3 = 52+5 = 73+2 = 53+4 = 74+1 = 54+3 = 75+2 = 75+6 = 116+1 = 76+5 = 11

There are 15 items in that list out of 6*6 = 36 dice rolls total.

15/36 = 5/12 is the probability of Miko winning

1 - (5/12) = 7/12 is the probability of Kimiko winning.

Those two fractions (5/12 and 7/12) aren't the same, which means the game isn't fair.

Kimiko has a better chance of winning since 7/12 is larger than 5/12.

This is why  choice B   is the final answer.


Related Questions

Hello need this due in 5 minutes

Answers

Answer:

C) 12%

Step-by-step explanation:

Answer: The answer is B.

Step-by-step explanation:

Add all of the students who chose English together and u get 24 and 12 is 50% of 24

A Foucault pendulum can be used to demonstrate that the Earth rotates . The time , t , in seconds , that it 2n 67 takes for one swing or period of the pendulum can be modeled by the equation where L is the length of the pendulum in meters and g is a constant of 9.81 m / . The first Foucault pendulum was constructed in 1851 and has a pendulum length of 67 m . Determine , to the nearest tenth of a second , the time it takes this pendulum to complete one swing . Another Foucault pendulum at the United Nations building takes 9.6 seconds to complete one swing . Determine , to the nearest tenth of a meter , the length of this pendulum

Answers

The time to complete one swing or period is 16.4 seconds and the length is 3.3 meters

The time to complete one swing

From the question, we have the following parameters that can be used in our computation:

L = 67 meters and g = 9.81 m/s²

The time, t, in seconds, that it takes for one swing or period of the pendulum can be modeled by the equation:

t = 2π(√(L/g))

Substitute the known values in the above equation, so, we have the following representation

t = 2π(√(67/9.81))

Evaluate

t = 16.4 seconds (approx)

The length of the pendulum

Here, we use the same equation and solve for L

In this case, t = 9.6

t = 2π(√(L/g))

substitute the known values in the above equation, so, we have the following representation

9.6 = 2π(√(L/9.81))

So, we have

L = (9.6/(2π))² * 9.81

Evaluate

L = 3.3 meters (approx)

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Pls help me with this question (#4) !

I’m learning abt similar figures in math and I don’t know what this one is

Tysm!

Answers

Answer:

x = 17, y = 8

Step-by-step explanation:

Answer:

y-8

X-17

Step-by-step explanation:

Look at the ratio. If BC is 2x of ZY, then multiply the sides of XZ and YX by 2

Factorisation by remarkable identities

Answers

Factorization by remarkable identities use the following identities, a²  + 2ab + b² , a²  - 2ab + b² , a²  - b² , and x²  + x (a + b) + ab.

What is factorization?

An algebraic expression is factorized when it is written as the product of its factors. These variables, factors, or algebraic expressions might be present.

Use of Identities in Factorization utilizing identities is substantially simpler when employing some of the identities that exist.

Several expressions that need to be factored have the following forms or may be transformed into them: a²  + 2ab + b²,  a²  - 2ab + b² , a²  - b² , and x² + x (a + b) + ab. Using Identities, I, II, III, and IV, it is simple to factorize these expressions.

Using each identity individually, we will study factorization in this part.

(a + b)²  = a²  + 2ab + b²

(a - b)²  = a²  - 2ab + b²

a²  – b²  = (a + b) (a – b)

(x + a) (x + b) = x²  + x (a + b) x + ab

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Complete question:

How to do factorisation by remarkable identities?

A candy box i haped like a rectangular prim. The box i 8 inche long, three inche wide, and 2 inche high. How much paper i ued to wrap the box?

Answers

92 inches² paper would be needed to wrap the prism completely.

What is the Surface Area of a Rectangular Prism?

The total region or area covered by all the faces of a rectangular prism is defined as the surface area of a rectangular prism. A rectangular prism is a three-dimensional shape. It has six faces, and all the faces are rectangular-shaped. Therefore, both the bases of a rectangular prism must also be rectangles.

Given here, The dimensions of the rectangular prism are 8,3,2 in inches.

Total surface area of a rectangular prism

= 2(lb + bh + lh)

Thus TSA

= 2(24+16+6)

= 92 inches²

Hence, 92 inches² paper would be needed to wrap the prism completely.

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For what value of k do the system of equations 2x 3y 4 and 6x 27y 12 has infinite solutions?.

Answers

The system of equations 2x + 3y = 4 and 6x + 27y = 12 has infinite solutions when the coefficients of x and y are the same ratio on both equations,

2x + 3y = 4

6x + 27y = 12

For the system of equations to have infinite solutions, the ratio of the coefficients of x and y must be the same. In this case, the ratio of the coefficients of x is 2/6 = 1/3 and the ratio of the coefficients of y is 3/27 = 1/9. Since the ratio of the coefficients is not the same, the system of equations does not have infinite solutions.

Hence, the value of k for which the system of equations 2x + 3y = 4 and 6x + 27y = 12 has infinite solutions is not exist.

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Use the Distributive Property to simplify the expression.


9(2n+1) =


PLs help me fast .

Answers

To distribute,

multiply 9 times 2n plus 9 times 1.

9*2n+9*1

18n+9 is your final answer.

Best wishes!

line graph shows number of pairs of shoes owned by some children

Answers

The modal  number of the pairs of shoes owned by the children is 3 pairs of shoes.

What is the modal number ?

In mathematics, the modal number or mode, is the number that appears on the data set the most times out of all the numbers that appear on a set of numbers or data.

In the case of this line graph on the number of pairs of shoes that children own, the modal number would be 3 pairs of shoes as this is the highest number according to the fact that 5 students own 3 pairs of shows.

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The question is:

What is the modal number of pairs of shoes owned by the children?

________ analysis is a statistical method for analyzing the intercorrelations among various measures or test scores. It can be used to identify clusters of correlated items that are assumed to measure the same underlying trait, ability, or aptitude

Answers

The Factor analysis is a statistical method for analyzing the intercorrelations among various measures or test scores.

Factor analysis is a technique used to reduce a large number of variables to a smaller number of factors. This technique extracts the maximum common variance from all variables and puts them into the common score. This score can be used for further analysis as an index for all variables. A "factor" is a set of observed variables with similar response patterns. These are associated with hidden variables that are not directly measured (called noise variables). Factors are listed by their factor loadings, or the amount of variation in the data they can explain. There are two types: exploratory and confirmatory.

Exploratory factor analysis is used when we do not know the structure of our data or the number of dimensions in a set of variables.Confirmatory factor analysis is used for validation as long as we have a clear idea of the structure of our data or the number of dimensions in a set of variables.

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What are the 5 steps in solving equations by substitution?.

Answers

The 5 steps in solving equations by substitution are

Solve one equation for either x or y.Substitute the expression from step one into the 2nd equation.Solve the second equation for the given variable.Plug you solution back into the first equation.Write your solution as a point.

If we take an example ,

Equation 1:  3x + 2y = 11Equation 2:  -x + y = 3

Substituting y = 3+x in equation 1 we get,

3x + 2(3 + x) = 11

3x + 6 + 2x = 11

5x = 5

x = 1

Put the value of x = 1 in the equation -x + y = 3

we get -1 + y = 3

so y = 4

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A pharmaceutical company wants to test the effectiveness of a new allergy drug. The company identifies 250 females​ 30-35 years old who suffer from severe allergies. The subjects are randomly assigned into two groups. One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug. After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ (a) through​ (c) below.

Answers

After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

What is the hypothesis?

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

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The complete question is given in the image.

Which of the following are solutions to the inequality below? Select all that apply.
d>5
>
d=7
d=9
d=4
d = 1

Answers

Solutions of given inequality expression are d = 7 and d = 9  

What are Inequatility expressions:

Mathematical expressions with inequalities are those in which the two sides are not equal to each other but less or greater than the other.

In other words, it is defined as a non-equal comparison between two expressions. Just like equations, these expressions are also made up of variable and constant terms.  

The signs that we used in Inequatility expressions are

≠ for not equal

< for less than  

> for greater than  

Here we have

d > 5 is an Inequality, which means d is greater than 5  

Then the given expression will be satisfied for all the values which are greater than 5

Therefore,

Solutions of given inequality expression are d = 7 and d = 9

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Please help quick!!!​

Answers

Answer:  x = 13, and the angle measures are 131, 49, 131, 49.

Step-by-step explanation:

7x + 40 = 10x + 1

40 = 3x + 1

39 = 3x

x = 13

The obtuse angle is 131, and the acute one is 49.

how to find the zeros and multiplicity of a polynomial

Answers

The zeros of a polynomial are the values of x that make the polynomial equal to 0.

To find the zeros, you need to set the equation equal to 0 and solve for x. The multiplicity of a zero is the number of times that the factor (x – zero) is a factor of the polynomial. To find the multiplicity of a zero, you need to find the highest power that x appears in the equation. For example, if the equation is (x-2)2•(x+1)3, then the zero is 2, and the multiplicity is 2.

The zeros of a polynomial are the values of x that make the equation equal to zero. The multiplicity of a zero is the number of times the factor (x - zero) occurs in the equation. To find the zeros and multiplicity of a polynomial, the polynomial needs to be factored into linear factors. The zeros are the x-intercepts of the equation (where the graph crosses the x-axis). The multiplicity is the power of the factor (x - zero). For example, if the equation is (x-2)^2(x-5), the zeros are x=2 and x=5 and the multiplicity of the zeros is 2 for x=2 and 1 for x=5.

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Please help me with this math problem!! Will give brainliest!! :)

Answers

Answer:

42 feet

Step-by-step explanation:

Since they are similar, that means the rectangles are reduced copies of each other. So, to find the length, you have to do 60/(40/28), to get the length of the pool. 40/28 is the ratio. 60/(40/28) = 42, so the answer is 42 feet.

Answer: 42 feet

Step-by-step explanation:

Width of pool to patio = 28 : 40

28 : 40 = 7 : 10

Multiply both sides by 6:

42 : 60, so the length of the pool is 42 feet

Simplify 2/3+1/6 in the simplest form

Answers

Answer: answer is 5/6, check my photo to understand

Answer: 5/6

Step-by-step explanation:

The side length of a square can be expressed by the formula a = Radical s where s is the area of the square. If the area of a square is 343m?, what is length of the side?

Answers

The side length of the square is 18.5 m

How to determine the side length of the square

From the question, we have the following parameters that can be used in our computation:

a = Radical s

where s is the area of the square.

Rewrite the above equation

So, we have the following representation

a √s

Given that the area of a square is 343m

We have

a =√343

Evaluate the root

a =18.5

Hence, the side length is 18.5 meters

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15 scouts can sell all of their troop's cookies in 24 days. How many days will it take for 18 scouts to sell cookies if the rate stayed the exact same? (Please give step-by-step solution too)

Answers

Answer:

28.8 days

Step-by-step explanation:

If. 15 scout = 24 days

than. 18 scout = ?

= 18/15 × 24 days

= 432/15

= 28.8 days.

If 15 scout can sell all their troops cookie's in 24 days than 18 scout too will sell cookies in 28.8 days.

What is the inverse of a inverse?.

Answers

The inverse of an inverse function is the original function.

For example, if a function f(x) has an inverse function g(x) such that f(g(x)) = x and g(f(x)) = x for all x in their respective domains, then the inverse of g(x) is f(x).

This is because when you apply the inverse function twice, it cancels out the effect of the inverse, and leaves you with the original function.

In mathematical notation, if f^-1(x) is the inverse of f(x), then (f^-1)^-1(x) = f(x)

So the inverse of an inverse is the original function, which means that (f^-1)^-1 = f

It's also worth noting that any function and its inverse are always one-to-one function, meaning that each element of the domain of the function corresponds to exactly one element of the range and vice-versa, which makes it possible to define an inverse function.

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A manufacturer of new smart phones purchases screens from two different suppliers. The company receives 55% of its screens from Corning Inc. And remaining screens from Philips. The quality of the screens varies between the suppliers: Corning Inc. Supplies 1% unsatisfactory screens while 4% of the screens from Philips are unsatisfactory. Given that a randomly chosen screen is unsatisfactory, what is the probability it came from Philips

Answers

The probability that a randomly chosen unsatisfactory screen came from Philips is approximately 0.4444.

What is probability ?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Let's call the probability that a screen came from Philips "P".

know that 55% of the screens came from Corning Inc. and the rest came from Philips, so:

P = 1 - 0.55 = 0.45

We also know that the probability of getting an unsatisfactory screen from Corning Inc. is 1%, while the probability of getting an unsatisfactory screen from Philips is 4%:

P(unsatisfactory | Corning Inc.) = 0.01

P(unsatisfactory | Philips) = 0.04

Using Bayes' theorem, the probability that a randomly chosen unsatisfactory screen came from Philips can be calculated as:

P(Philips | unsatisfactory) = P(unsatisfactory | Philips) * P(Philips) / [P(unsatisfactory | Philips) * P(Philips) + P(unsatisfactory | Corning Inc.) * P(Corning Inc.)]

Substituting the values we have:

P(Philips | unsatisfactory) = 0.04 * 0.45 / [0.04 * 0.45 + 0.01 * 0.55] = 0.444444... or approximately 0.4444

Therefore, the probability that a randomly chosen unsatisfactory screen came from Philips is approximately 0.4444.

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The probability that a randomly chosen unsatisfactory screen came from Philips is 46.48%.

Let's call P(Philips) the probability that a randomly chosen screen came from Philips, and P(Unsatisfactory | Philips) the probability that a screen is unsatisfactory given that it came from Philips. Then we can use Bayes' theorem to find P(Philips | Unsatisfactory), the probability that a screen came from Philips given that it is unsatisfactory.

Bayes' theorem states:

P(A | B) = P(B | A) * P(A) / P(B)

where A and B are events, P(A | B) is the conditional probability of A given B, P(B | A) is the conditional probability of B given A, P(A) is the probability of A, and P(B) is the probability of B.

In this case,

A = "the screen came from Philips"

B = "the screen is unsatisfactory"

So:

P(Philips | Unsatisfactory) = P(Unsatisfactory | Philips) * P(Philips) / P(Unsatisfactory)

We are given:

P(Unsatisfactory | Philips) = 4% = 0.04

P(Philips) = 45% = 0.45 (since 55% came from Corning Inc.)

P(Unsatisfactory) = P(Unsatisfactory | Corning Inc.) * P(Corning Inc.) + P(Unsatisfactory | Philips) * P(Philips)

= 1% * 55% + 4% * 45% = 0.55% + 1.8% = 2.35%

So:

P(Philips | Unsatisfactory) = 0.04 * 0.45 / 0.0235 = 46.48%

So the probability that a randomly chosen unsatisfactory screen came from Philips is 46.48%.

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What will be the area of an isosceles triangle with an equal side of 8 cm and each equal side of 5 cm?.

Answers

Answer::

Solution:



Altitude =

5

2

−4

2

=3

Area =

2

1

(base)(height)

=

2

1

×8×3=12cm

2

.

solutio

which choice is equivalant to the quotient shown here for acceptable values of x? sqrt 9x^2 divided by sqrt 5x
a. x sqrt 9x/5
b. sqrt 9x^3/5
c. sqrt 45x^3
d. sqrt 9x/5

Answers

The equivalent expression of the given value is sqrt 9x/5. Option D

What is the equivalent?

We have to note that when we are dealing with this expression, we have to bear in mind one of the rules of surd that states that; √P/√Q = √P/Q. This is the rule of surd that would guide our operation here.

We have that;

√9x^2/√5x

This would be the same as;

√9x^2/5x

According to the rule above, we now have;

√9x/5

Thus, by the use of the laws of surd we would have the expression √9x/5 as shown in the solution above.

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Find the distance from point B to point C.
Enter as a decimal rounded to the nearest tenth.
58°
6 mi
B
BC = [?]

Answers

The distance between points B and C is 10.3 miles.

How to find distance using trigonometric functions?

Trigonometry is the study of angles and the angular relationships of planar and three-dimensional figures. Trigonometry is made up of trigonometric functions (also known as circular functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.

If we have a triangle with a right angle,

Then, tan = Opposite/Adjacent side

To find the distance,

In the ABC right angle triangle,

5.7 miles on the adjacent side = AB

θ = 61°

We must locate the BC.

tan = Opposite/Adjacent side

tan61°= BC/5.7

BC = 5.7×tan61°

BC = 10.283 = 10.3 (to the nearest tenth).

The figure is attached below.

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Use 4 of the 5 numbers shown to make the equations true.

Each number can be used only once.

Answers

The answers to the two blank portions are, √64 = 8 and ∛1000 = 10.

What are surds and indices?

We are aware that there are two different sorts of radicals. Surds are created when a number is raised to a power that makes it greater than zero but less than one. Indices are created when a number is raised to a power that makes it bigger than one.

We know 10×10 = 100.

10¹×10¹ = 100.

10² = 100.

√100 = 10.

Similarly ∛1000 = 10.

As ∛1000 = ∛(10×10×10) = ∛10³ = 10.

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What are the 4 ways to solve an equation?.

Answers

Four ways of solving an equation are Graphical, Elimination, Substitution, and Cross multiplication.

Graphical method: To solve linear equations graphically, first draw the graph for both equations in the same coordinate graph and locate the intersection point on the graph.

Elimination method: In this method, any of the coefficients is first eliminated by equating. After eliminating the coefficient, the equations are resolved to get the other equation. For example:

3x + 2y = 9 ———–(i)

x – y = 6 ———–(ii)

Here, if equation (ii) is multiplied by 3, the coefficient of “x” will become equal and can be eliminated.

So, multiply equation (ii) × 3 and then subtract equation (i)

3x + 2y - 9 - 3x-3y-18 = 0

y = -9/5

Now, put the value of y = 1.8 in equation (ii).

So, x – 1.8 = 6

x = 4.2

Substitution method: To solve a linear equation using this method, first, take the value of one variable separately from any of the equations. Then, substitute the value of this variable in the second equation and solve it.

Cross multiplication method: Linear equations can be easily solved using this method. This technique is used to simplify the solution. The following formula is used for solving 2 variable equation:

x /(b₁ c₂ − b₂ c₁) = y / (c₁ a₂ − c₁ a₁) = 1 /(b₂ a₁− b₁a₂)

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The cost of 250 bricks, delivered to a worksite, is $170. The cost of 400 bricks delivered is $245. How much would it cost to have 320 bricks delivered

Answers

The cost of 250 bricks, delivered to a worksite, is $170. The cost of 400 bricks delivered is $245 and the cost to have 320 bricks will delivered $217.6 .

How much would it cost to have 320 bricks delivered?

The cost of 250 bricks, delivered to a worksite, is $170.

So , we can calculate the single brick cost need to divide 170/250=0.68

Single brick cost is 0.68

The cost of 400 bricks delivered is $245.  In this case a single brick cost is 0.6125

The answers is different from the first answer we can calculate  320  brick cost 320×0.68=217.6

The following equation is used to calculate the Cost Per Brick. To calculate the cost per brick, divide the total cost of the bricks by the number of bricks. Bricks in 1 cubic Feet (cft) = Volume of brickwork/ Volume of one brick with mortar. Thus, thumb rule formula: No. of bricks in wall per Cubic Feet= (Area in Cft × 14).

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PLEASE HELP I WILL GIVE YOU BRAINLY ! !!!!


A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.


A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.


Which statement about probability is true?


The probability of landing on blue is greater than the probability of landing on purple.

The probability of landing on yellow is less than the probability of landing on orange.

The probability of landing on orange is equal to the probability of landing on yellow.

The probability of landing on purple is equal to the probability of landing on blue.

Answers

Using the probability, we see that the statement, the probability of landing on blue is greater than the probability of landing on purple is true. Hence, statement 1 is true.

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.

From the given spinner we can observe that:

P (Purple) = 2 / 8

P (Yellow) = 2/8

P (Blue) = 3/8

P (Orange) = 1/8

Using the probability, we see that the statement, the probability of landing on blue is greater than the probability of landing on purple is true.

Hence, statement 1 is true.

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A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares, x, and the perimeter, y, of the rectangles they form. Select all the true statements about this relation. Number of squares, x 1 2 3 4 perimeter, y 8 12 16 20.

Answers

Perimeter is directly proportional to number of squares, x and is 4x where x is the number of squares.

What is perimeter ?

Perimeter is the distance around the edge of a two-dimensional shape. It is the sum of the lengths of all the sides of a shape. It is commonly used to measure the size of a closed shape such as a square, rectangle, or circle. The formula for perimeter depends on the shape in question.

The statements that are true about the relation between the number of squares and the perimeter of the rectangles they form are:

As the number of squares increases, the perimeter of the rectangle also increases.

The perimeter of the rectangle is 4 times the number of squares.

The perimeter increases by 4 for every increase in 1 square.

The perimeter is calculated by multiplying the number of squares by 4.

The perimeter is directly proportional to the number of squares.

Perimeter is directly proportional to number of squares, x and is 4x where x is the number of squares.

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18. The table shows the amount of time you work and your total wages. Write an equation in
slope intercept form that gives your wage at any time. What do the slope and y-intercept
represent?
Time worked, x Wages earned,
. y($)

1. 9.25
3. 27.75
7. 64.75

Answers

The slope and y-intercept represent, time worked, x Wages earned,

y($) is 9.25.

Give a brief account in slope?

In mathematics, the slope of a line is a measure of its steepness and direction. It is defined as the ratio of the "rise" (the change in the y-coordinate) to the "run" (the change in the x-coordinate) between two points on a line. The slope is often represented by the letter "m" and can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

The slope of a line can also be thought of as the coefficient of the x-term in the equation of the line in the form of "y = mx + b" where m is the slope.

From the table, we can see that the wages earned are directly proportional to the time worked. This is a linear relationship and we can find the equation of the line using the point-slope form.

The point-slope form of a linear equation is y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

We can use the data from the table to find the slope of the line.

m = (y2 - y1) / (x2 - x1)

We can use the first two data points (x1 = 1, y1 = 9.25) and (x2 = 3, y2 = 27.75) to find the slope:

m = (27.75 - 9.25) / (3 - 1) = 18.5/2 = 9.25

Now we have the slope, we can use the point (x1 = 1, y1 = 9.25) to find the y-intercept, b

9.25 = 9.25 * 1 + b

we can find b is 0

So, the equation of the line in slope-intercept form is y = 9.25x + 0

The slope of the line, m = 9.25, represents the rate of change of the wages earned with respect to the time worked. It means that for every one-hour increase in time worked, the wages earned increase by $9.25. The y-intercept, 0, represents the wage earned when no time has been worked, which is 0$.

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The slope and y-intercept represent, time worked, x Wages earned, y($) is 9.25.

Give a brief account of slope.

In mathematics, the slope of a line is a measure of its steepness and direction. It is defined as the ratio of the "rise" (the change in the y-coordinate) to the "run" (the change in the x-coordinate) between two points on a line. The slope is often represented by the letter "m" and can be calculated using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

The slope of a line can also be thought of as the coefficient of the x-term in the equation of the line in the form of "y = mx + b" where m is the slope.

From the table, we can see that the wages earned are directly proportional to the time worked. This is a linear relationship and we can find the equation of the line using the point-slope form.

The point-slope form of a linear equation is y - y₁ = m(x - x₁)

where m is the slope of the line and (x₁, y₁) is a point on the line.

We can use the data from the table to find the slope of the line.

m = (y₂ - y₁) / (x₂ - x₁)

We can use the first two data points (x₁ = 1, y₁ = 9.25) and (x₂ = 3, y₂ = 27.75) to find the slope:

m = (27.75 - 9.25) / (3 - 1)

= 18.5/2

= 9.25

Now we have the slope, we can use the point (x₁ = 1, y₁ = 9.25) to find the y-intercept, b

9.25 = 9.25 * 1 + b

We can find b is 0

So, the equation of the line in slope-intercept form is y = 9.25x + 0

The slope of the line, m = 9.25, represents the rate of change of the wages earned with respect to the time worked. It means that for every one-hour increase in time worked, the wages earned increase by $9.25. The y-intercept, 0, represents the wage earned when no time has been worked, which is 0$.

To know more about intercept visit:

brainly.com/question/14180189

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show york work for brainliest
what is the value for f?

Answers

Answer:

f = 21

Step-by-step explanation:

since the rectangles are scaled copies then the ratios of corresponding sides are in proportion, scaled copy to original, so

[tex]\frac{f}{28}[/tex] = [tex]\frac{9}{12}[/tex] ( cross- multiply )

12f = 28 × 9 = 252 ( divide both sides by 12 )

f = 21

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