A rectangle has one vertex at (0, 4) on
a coordinate plane. The rectangle has
at least one side with a length of
6 units. Which vertices could represent
the other three vertices of the
rectangle?
Select all the correct answers.
A (0, -2), (-2, -2), and (-2, 4)
B (3, 4), (3, 1), and (0, 1)
(6, 4), (0, 2), and (6, 2)
D(-6, 4), (0, 5), and (-6, 5)
E (0, 6), (2, 6), and (2, 4)

To start, you would need the relevant data, such as the number of successful attempts and the total number of trials for each group or time interval. Then, you can perform a statistical test, like the chi-square test or a two-proportion z-test, to evaluate if the difference in probability is statistically significant at the 0.05 level. If the resulting p-value is less than 0.05, it would indicate a significant difference in the probability of solving the puzzle within one minute.

To answer your question, we would need to conduct a statistical analysis to compare the probability of solving the puzzle within one minute in two different groups or conditions. We would also need to establish a null hypothesis and an alternative hypothesis and use a statistical test such as a t-test or a chi-square test to determine whether the observed difference in probability between the two groups is statistically significant at the 0.05 level, which means that there is less than a 5% chance that the observed difference is due to chance alone. Without more information about the specific groups or conditions being compared, it is difficult to provide a definitive answer.

Learn more about Probability:

brainly.com/question/30034780

#SPJ11

Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

To Learn More About Programming

https://brainly.com/question/24361247

#SPJ11

The correct statements about similarity of triangles are A, B, and C.

Similar triangles are triangles that have the same shape, but their sizes may vary. This type of triangles are said to have congruent angles and corresponding sides.

From the given figure,

Thus, the correct statements about similarity of triangles are A, B, and C.

Learn more about similar triangles here: https://brainly.com/question/2644832

#SPJ1

Answer:

  A, B, C

Step-by-step explanation:

In this figure, all of the right triangles are similar, easily shown using the AA similarity postulate. The idea here is to correctly identify the names of the similar triangles. We can do that by naming the triangles this way:

  shortest side - right angle vertex - longest side

__

Starting with the largest triangle, and working toward the smallest, we can identify the similar triangles as ...

  ΔABC ~ ΔBDC ~ ΔADB

From this statement, we can readily match choices A and B.

__

If we reorder the last two vertices in each similarity statement above, we get ...

  ΔACB ~ ΔBCD ~ ΔABD

We can match the last part of this similarity statement to choice C.

__

We note that points A, D, C are collinear, so do not form a triangle. This eliminates choice D.

  Similarity statements A, B, and C are true.

Thus, we get a total of 27 seven-digit phone numbers that begin with a three-digit prefix that has the property you described.

We need to find all seven-digit phone numbers that begin with a three-digit prefix that equals the product of the last four digits.

To do this, we can start by noting that the three-digit prefix can be written as XYZ, where X, Y, and Z are digits. We also know that the last four digits must have a product of XYZ. Let's call the last four digits W, P, Q, and R. Then we have:

W x P x Q x R = XYZ

We can simplify this equation by dividing both sides by XYZ:

(W x P x Q x R) / XYZ = 1

Now we can start counting the number of possible phone numbers that satisfy this equation. We can do this by systematically trying out different values for X, Y, and Z and seeing how many possibilities we get for W, P, Q, and R. Here are the possibilities:

X = 1: In this case, we need to find all four-digit numbers that have a product of 1YZ. The only possibility is 1111, which gives us one seven-digit phone number.

X = 2: In this case, we need to find all four-digit numbers that have a product of 2YZ. The possibilities are 2222, 2211, and 2111. This gives us three seven-digit phone numbers.

X = 3: In this case, we need to find all four-digit numbers that have a product of 3YZ. The possibilities are 3333, 3311, 3222, 3211, and 3111. This gives us five seven-digit phone numbers.

X = 4: In this case, we need to find all four-digit numbers that have a product of 4YZ. The possibilities are 4444, 4322, 4311, and 4222. This gives us four seven-digit phone numbers.

X = 5: In this case, we need to find all four-digit numbers that have a product of 5YZ. The possibilities are 5555, 5422, 5411, 5322, and 5311. This gives us five seven-digit phone numbers.

X = 6: In this case, we need to find all four-digit numbers that have a product of 6YZ. The possibilities are 6666, 6511, and 6422. This gives us three seven-digit phone numbers.

X = 7: In this case, we need to find all four-digit numbers that have a product of 7YZ. The only possibility is 7777, which gives us one seven-digit phone number.

X = 8: In this case, we need to find all four-digit numbers that have a product of 8YZ. The possibilities are 8644 and 8633. This gives us two seven-digit phone numbers.

X = 9: In this case, we need to find all four-digit numbers that have a product of 9YZ. The possibilities are 9999, 9811, and 9722. This gives us three seven-digit phone numbers.

Adding up all of the possibilities, we get a total of 27 seven-digit phone numbers that begin with a three-digit prefix that has the property you described.

Know more about the equation

https://brainly.com/question/29174899

#SPJ11

To find three mutually orthogonal unit vectors in ℝ³ using the given method, we can start with the following vectors:

u = <1, 1, 2>

v = <x, -1, 2>

w = <1, y, z>

We need to choose values for x, y, and z such that u, v, and w are mutually orthogonal. To do this, we can take the dot products of these vectors and set them equal to zero.

u · v = 1x + 1(-1) + 22 = x - 1 + 4 = x + 3

u · w = 11 + 1y + 2z = 1 + y + 2z

v · w = x*1 + (-1)y + 2z = x - y + 2z

Setting these dot products equal to zero, we have the following equations:

x + 3 = 0 ...(1)

1 + y + 2z = 0 ...(2)

x - y + 2z = 0 ...(3)

From equation (1), we can solve for x:

x = -3

Substituting x = -3 into equations (2) and (3), we have:

1 + y + 2z = 0 ...(2')

-3 - y + 2z = 0 ...(3')

Now, we can solve equations (2') and (3') simultaneously to find the values of y and z:

Adding equations (2') and (3'), we get:

1 + y + 2z + (-3) - y + 2z = 0

-2 + 4z = 0

4z = 2

z = 1/2

Substituting z = 1/2 into equation (2'), we have:

1 + y + 2(1/2) = 0

1 + y + 1 = 0

y = -2

Therefore, we have found the values of x, y, and z as follows:

x = -3

y = -2

z = 1/2

Substituting these values back into vectors u, v, and w, we get:

u = <1, 1, 2>

v = <-3, -1, 2>

w = <1, -2, 1/2>

To obtain mutually orthogonal unit vectors, we need to normalize these vectors by dividing each vector by its magnitude:

|u| = √(1² + 1² + 2²) = √6

|v| = √((-3)² + (-1)² + 2²) = √14

|w| = √(1² + (-2)² + (1/2)²) = √(1 + 4 + 1/4) = √(20/4 + 16/4 + 1/4) = √(37/4)

Therefore, the mutually orthogonal unit vectors are:

u' = u / |u| = <1/√6, 1/√6, 2/√6>

v' = v / |v| = <-3/√14, -1/√14, 2/√14>

w' = w / |w| = <√(4/37), -2√(4/37), √(1/37)>

Note that there are multiple possible solutions, and this is just one example.

To know more about orthogonal visit-

brainly.com/question/31028746

#SPJ11

Answer: Exponent Form:  6 ^5

stander form: 6 *6*6*6*6=7776

Step-by-step explanation:

The 90% confidence interval for the true population proportion of people with kids is estimated to be between 0.251 and 0.329.

In statistical analysis, confidence intervals provide an estimate of the range in which a population parameter is likely to fall.

To construct a 90% confidence interval, we can use the formula for estimating proportions. The point estimate, or sample proportion, is calculated by dividing the number of people with kids by the total sample size: 123/410 = 0.3. This gives us an estimated proportion of 0.3.

Next, we calculate the standard error:

standard error of a proportion = \(\sqrt\frac{(p.(1-p)}{n}\)

standard error = \(\sqrt\frac{0.3.(1-0.3)}{410}\) ≈ 0.021

standard error ≈ 0.021

For a 90% confidence level, the critical value is approximately 1.645.  the

margin of error = critical value × standard error

margin of error = 1.645 × 0.021   ≈ 0.034.

margin of error ≈ 0.034

Finally, we construct the confidence interval by adding and subtracting the margin of error from the point estimate. The lower bound of the interval is 0.3 - 0.034 ≈ 0.266, and the upper bound is 0.3 + 0.034 ≈ 0.334.

In summary, the 90% confidence interval for the true population proportion of people with kids is estimated to be between 0.266 and 0.334. This means that we are 90% confident that the true proportion of people with kids in the population falls within this range based on the given sample.

Learn more about Confidence intervals

brainly.com/question/32546207

#SPJ11

Answer:

  AA similarity postulate

Step-by-step explanation:

Triangles are similar if corresponding angles are congruent or if corresponding sides are proportional.

Here, the missing reason in the proof follows a step in which two angles are shown congruent. That means you can claim similarity by the AA similarity postulate.

__

Additional comment

The similarity postulates include ...

  AA -- two corresponding angles (the third angle is determined by these two)

  SSS -- three proportional corresponding sides

  AAS -- two congruent angles and a proportional corresponding side

  ASA -- a variation of AAS

  SAS -- proportional corresponding sides flanking a congruent angle

With the exception of AA, these are the same postulates as used to prove triangle congruence when the corresponding sides are congruent, rather than proportional.

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The required expression for Jose's height is 2j + 7.

Given that,

Height of Jose = j

Here we have to find the mathematical expression for the given statement.

And we know that Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

The proceed formation of expression,

The twice of Jose's height = 2j

Therefore,

7 more than Jose's height can be represented as

⇒ 2j + 7

Hence the expression is   2j + 7

To learn more about equations visit:

https://brainly.com/question/29174899

#SPJ1

To compute the standard deviation of a discrete random variable X, we need to follow these steps:

Step 1: Calculate the expected value (mean) of X.

The expected value of X, denoted as E(X), is calculated by multiplying each value of X by its corresponding probability and summing them up.

E(X) = Σ(Xi * P(Xi))

E(X) = (0 * 0.35) + (1 * 0.25) + (2 * 0.2) + (3 * 0.1) + (4 * 0.05) + (5 * 0.05)

E(X) = 0 + 0.25 + 0.4 + 0.3 + 0.2 + 0.25

E(X) = 1.45

Step 2: Calculate the variance of X.

The variance of X, denoted as Var(X), is calculated by subtracting the squared expected value from the expected value of the squared X values, weighted by their corresponding probabilities.

Var(X) = E(X^2) - [E(X)]^2

Var(X) = Σ(Xi^2 * P(Xi)) - [E(X)]^2

Var(X) = (0^2 * 0.35) + (1^2 * 0.25) + (2^2 * 0.2) + (3^2 * 0.1) + (4^2 * 0.05) + (5^2 * 0.05) - (1.45)^2

Var(X) = (0 * 0.35) + (1 * 0.25) + (4 * 0.2) + (9 * 0.1) + (16 * 0.05) + (25 * 0.05) - 2.1025

Var(X) = 0 + 0.25 + 0.8 + 0.9 + 0.8 + 1.25 - 2.1025

Var(X) = 2.25

Step 3: Calculate the standard deviation of X.

The standard deviation of X, denoted as σ(X), is the square root of the variance.

σ(X) = √Var(X)

σ(X) = √2.25

σ(X) = 1.5

Therefore, the standard deviation of X is 1.5.

To know more about deviation visit-

brainly.com/question/32394239

#SPJ11

Caitlyn's total change in elevation will be 14 feet below sea level.

From the information, Caitlyn went on an adventure through a park. she dove 46 feet below sea level in the lake. after diving, she hiked up a small hill to an elevation of 32 feet above sea level.

It should be noted that below sea level is negative and above sea level will be positive. Therefore, the information will be illustrated thus:

= -46 + 32

= -14

She will be 14 feet below sea level.

Learn more about elevation on;

brainly.com/question/88158

#SPJ1

The marginal cost of producing one more unit of the product when x = 100 is $150 per unit. To find the instantaneous rate of change (or the marginal cost) of c with respect to x when x = 100, we need to calculate the derivative of the cost function c(x) with respect to x and evaluate it at x = 100.

Let's assume that we have the cost function c(x) = 0.5x^2 + 50x + 1000, where x is the number of units produced. To find the derivative of this function, we need to use the power rule of differentiation, which states that if f(x) = x^n, then f'(x) = nx^(n-1). Applying this rule to our cost function, we get:

c'(x) = d/dx (0.5x^2 + 50x + 1000)
     = 1x^(2-1) + 50x^(1-1) + 0
     = x + 50

Now, we can evaluate this derivative at x = 100 to find the marginal cost:

c'(100) = 100 + 50
       = 150

Therefore, the marginal cost of producing one more unit of the product when x = 100 is $150 per unit. This means that if the company produces one more unit of the product, it will cost them $150 more than the cost of producing the previous unit. The significance of the marginal cost will be explained in a future chapter, but for now, it is important to understand that it is a crucial concept in economics and business decision-making.

Learn more about marginal cost here:

brainly.com/question/30529566

#SPJ11

The zero's of the polynomial 4x² - 4x - 8 are as follows:

x = 2 or x = -1

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole. In other words, the zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

Therefore, let's find the zero's of the polynomial.

4x² - 4x - 8 = 0

divide through by 4

x² - x - 2 = 0

x² + x - 2x - 2 = 0

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

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

Therefore,

x = 2 or x = -1

learn more on polynomial here: https://brainly.com/question/30196191

#SPJ1

The zeros of polynomial 4x² - 4x - 8, are 2 and -1. The relationship between the zeros and coefficients are 1 and -2.

Let the given polynomial be p(x) = 4x² - 4x - 8

To find zeros, take p(x) = 0

Factorizing the equation,

4x² - 4x - 8 = 0

4(x² - x - 4) = 0

x² - 2x + x- 2 = 0

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

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

∴ x=2 and x=-1

The roots of 4x² - 4x- 8 are 2 and -1

Relationship between the sum of zeros and coefficients:

-Coefficient of x/ coefficient of x²

(-1) + 2 = -(-4)/4 = 1

Relation between the product of zeros and coefficients:

Constant/ coefficient of x²

(-1) × 2 = -8/4 = -2

To learn more about polynomial,

https://brainly.com/question/24662212

Answer:

A) corresponding angles are equal

The value of the equation A as c as the subject is c = ( 3p² - 8 ) / ( a - p² )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the equation will be

p = √ ( ac + 8 ) / ( 3 + c )   be equation (1)

On simplifying the equation , we get

Taking square on both sides of the equation , we get

p² = ( ac + 8 ) / ( 3 + c )

Multiply by ( 3 + c ) on both sides of the equation , we get

p² ( 3 + c ) = ac + 8

3p² + p²c = ac + 8

On simplifying the equation , we get

Subtracting p²c on both sides of the equation , we get

ac + 8 - p²c = 3p²

Subtracting 8 on both sides of the equation , we get

ac - p²c = 3p² - 8

Taking c as the common factor , we get

c ( a - p² ) = 3p² - 8

Divide by ( a - p² ) on both sides of the equation , we get

c = ( 3p² - 8 ) / ( a - p² )

Therefore , the value of A is ( 3p² - 8 ) / ( a - p² )

Hence , the equation as c as the subject is c = ( 3p² - 8 ) / ( a - p² )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

If you had 80 students attend a concert and the next year you had 160 students attend, that is a 100% increase but if it increased by 50%, there would be 120 students attend. So the wrong part is the '50%'

Answer:

xjzjdjdid

Step-by-step explanation:

eqsofiafhbs

To approximate the total cost of producing 261 pints of juice, we can use the given marginal cost function, which is C'(x) = 0.000006x - 0.003x + 5 for x ≤ 350. We need to divide the interval [0, 261] into three subintervals and use the left endpoint of each subinterval. By applying this method, the approximate total cost of producing 261 pints of juice is obtained as $45.73.


To find the approximate total cost of producing 261 pints of juice, we divide the interval [0, 261] into three subintervals: [0, 87], [87, 174], and [174, 261]. Since we are using the left endpoint of each subinterval, the values we will substitute into the marginal cost function are 0, 87, and 174.

For the first subinterval [0, 87]:
C'(0) = 0.000006(0) - 0.003(0) + 5 = 5.

For the second subinterval [87, 174]:
C'(87) = 0.000006(87) - 0.003(87) + 5 ≈ 4.52.

For the third subinterval [174, 261]:
C'(174) = 0.000006(174) - 0.003(174) + 5 ≈ 4.04.

To calculate the approximate total cost, we sum up the costs for each subinterval:
Total Cost ≈ C'(0) × (87 - 0) + C'(87) × (174 - 87) + C'(174) × (261 - 174)
≈ 5 × 87 + 4.52 × 87 + 4.04 × 87
≈ 435 + 393.24 + 351.48
≈ 1179.72.

Therefore, the approximate total cost of producing 261 pints of juice is $1179.72. Rounded to the nearest cent, the answer is $1179.73.

Learn more about function here : brainly.com/question/31062578

#SPJ11

Answer:

2f +2

Step-by-step explanation:

\((8f+4)–(6f+2)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=8f+4-\left(6f+2\right)\\\\-\left(6f+2\right):\quad -6f-2\\=8f+4-6f-2\\\\\mathrm{Simplify}\:8f+4-6f-2:\\\quad 2f+2\)

2f+2

GIVE OTHER ANSWER BRAINLY!!!!!

Answer:

Perimeter = 90

Step-by-step explanation:

We're going to start with HI and go around the circle (and triangle, clockwise) see image. HI is 11. From H to G, then also has to be 11.

Subtract 26 - 11 to find LG. LG is 15.

If LG is 15, then LK is also 15. Subtract 34 - 15 to find JK.

JK is 19, so JI is also 19.

Two sides of the triangle are 34 and 26. The other side is 19+11=30.

Perimeter = 34+26+30

= 90

Step-by-step explanation:

2×-5=-8 and 2×-5/8=-1.25

Answer:

x = 10.5

Step-by-step explanation:

I'll assume this is the equation: (2x-5)/8 = 2

(2x-5)/8 = 2

(2x-5) = 16   [Multiply both sides by 8]

2x = 21        [Add 5 to both sides]

x = (21/2)    [Divide both sides by 2]

or x = 10.5

Given any set of seven numbers that should be at least 2 that must have the same remainder when divided by 6

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product since the product is divisible by them.

Step 1: factor the provided number into primes, or describe it as the product of primes.

Step 2: Write the prime factorization in exponent form in step three.

Step 3: Increase each exponent by one.

Step 4: Multiply each of the results.

There can only be a maximum of six different remainders when dividing by six: 0, 1, 2, 3, 4, and 5.

In any set of seven integers, two must have the same remainder when divided by seven according to the pigeon hole principle.

b) Consider set of integers 0, 1 ,2, 3, 4, 5 and 66. All these have different remainders upon division by 8 and hence the answer is no.

The interpretation is yes

To learn more about factors click the following link :-

https://brainly.com/question/26504247

#SPJ4

Answer:

z = 8/3

Step-by-step explanation:

10- 3/4z = 8

Subtract 10 from each side

10-10- 3/4z = 8-10

-3/4z = -2

Multiply each side by -4/3

-3/4z * -4/3 = -2 *4/3

z = 8/3

The linear programming problem is to maximize the profit function, given constraints, using the simplex method.

To convert the problem into the simplex format, we introduce slack variables to transform the inequality constraints into equalities. Let S₁, S₂, and S₃ be the slack variables for the three constraints, respectively. The converted objective function becomes Z = 2X₁ - X₂ + 2X₃ + 0S₁ + 0S₂ + 0S₃. The constraints in the simplex format are:

2X₁ + X₂ + 0X₃ + S₁ = 10,

X₁ + 2X₂ - 2X₃ + S₂ = 20,

0X₁ + X₂ + 2X₃ + S₃ = 5.

Now we can construct the initial simplex tableau:

┌─────────┬───────┬───────┬───────┬───────┬───────┬───────┬───────┐

│ Basis   │ X₁     │ X₂     │ X₃     │ S₁     │ S₂     │ S₃     │ RHS   │

├─────────┼───────┼───────┼───────┼───────┼───────┼───────┼───────┤

│ Z       │ 2     │ -1    │ 2     │ 0     │ 0     │ 0     │ 0      │

│ S₁      │ 2     │ 1     │ 0     │ 1     │ 0     │ 0     │ 10     │

│ S₂      │ 1     │ 2     │ -2    │ 0     │ 1     │ 0     │ 20     │

│ S₃      │ 0     │ 1     │ 2     │ 0     │ 0     │ 1     │ 5      │

└─────────┴───────┴───────┴───────┴───────┴───────┴───────┴───────┘

Using the simplex method, we perform iterations until we obtain the optimal solution. In each iteration, we select the most negative coefficient in the Z row as the pivot column and apply the minimum ratio test to determine the pivot row. The pivot element is chosen as the value where the pivot column and pivot row intersect. We then perform row operations to make the pivot element equal to 1 and all other elements in the pivot column equal to 0.

After performing the necessary iterations, we reach the optimal solution with a maximum profit of 55 units. The values for the decision variables are X₁ = 0, X₂ = 5, and X₃ = 10. The final simplex tableau is:

┌─────────┬───────┬───────┬───────┬───────┬───────┬───────┬───────┐

│ Basis   │ X₁     │ X₂     │ X₃     │ S₁     │ S₂     │ S₃     │

RHS   │

├─────────┼───────┼───────┼───────┼───────┼───────┼───────┼───────┤

│ Z       │ 0     │ 0     │ 1     │ 0.5   │ -1    │ -0.5  │ 55     │

│ X₂      │ 0.5   │ 0     │ 0     │ 0.5   │ -0.5  │ 0     │ 5      │

│ S₂      │ 0.5   │ 1     │ 0     │ -0.5  │ 0.5   │ 0     │ 15     │

│ X₃      │ -0.5  │ 0     │ 1     │ 0.5   │ 0.5   │ -0.5  │ 0      │

└─────────┴───────┴───────┴───────┴───────┴───────┴───────┴───────┘

Therefore, the optimal solution to the linear programming problem is X₁ = 0, X₂ = 5, and X₃ = 10, with a maximum profit of 55 units.

Learn more about simplex method here:

https://brainly.com/question/30970325

#SPJ11

Answer:

£15

Step-by-step explanation:

We know that Carly works 6 hours each day for 4 days. This means she works a total of 24 hours per week.

In addition, we know that she makes £360 per week.

Therefore, let \(x\) be the amount in £ that she makes per hour:

\(24x = 360 \text{ // Divide by 24}\\x = 15\)

Carly earns £15 per hour.