Work out A and B in UK pounds

Answer:

2/5x^9−2/25

Step-by-step explanation:

Answer: 17

Because it is less than 18

Making the equation false

As per the combination method, there are 15 different ways are possible for this situation.

Combination method:

Combination method also known as NCR is a formula of combination and arrangement, where the object's order does not matter so much.

Given,

Here we have to find the number of ways to be selected as the best student and another student is to be selected as a runner-up among the 6 students.

Here we know that that the value of

Total number of students = 6

Best student = 1

Runner - up = 1

So, as per the NCR formula, the value of n = 6 and the value of r = 2

Then the possible combinations are calculated as,

=> ⁶C₂ = 6! / 2!(6 - 2)!

=> ⁶C₂ = 6!/2!4!

=>⁶C₂ = 15

Therefore, the resulting number of ways is 15.

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Using linear functions, it is found that:

a)

\(y_A(x) = 8 + x\)

\(y_B(x) = 4 + 2x\)

b) They will have the same height after 4 weeks.

A linear function has the following format:

\(y = mx + b\)

In which:

Item a:

Plant A has a height of 8 centimeters and grows 1 centimeter each week, hence:

\(y_A(x) = 8 + x\)

Plant B has  a height of 4 centimeters and grows 2 centimeters each week, hence:

\(y_B(x) = 4 + 2x\)

The system is:

\(y_A(x) = 8 + x\)

\(y_B(x) = 4 + 2x\)

Item b:

Equaling the equations:

\(y_A(x) = y_B(x)\)

\(8 + x = 4 + 2x\)

\(x = 4\)

They will have the same height after 4 weeks.

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

museum c

Step-by-step explanation:

to find this answer you must find the store in which it goes up by a constant  number each time

OR

their x to y ratio is always the same

in this case

this answer would be museums c as the x to y ratio is always 3 to 4

12 to 16 and 18 to 24 all equal 3 to 4

1. No environmentally produced diseases are inherited afflictions. Some psychological disorders are not inherited afflictions. Therefore, some psychological disorders are environmentally produced diseases. This statement invalid.

2. All watercolors are paintings. Some watercolors are masterpieces. Therefore, some paintings are masterpieces. This statement is invalid.

3. No illegal aliens are persons who have a right to welfare payments, and some migrant workers are illegal aliens. Thus, some persons who have a right to welfare payments are migrant workers. This statement is valid.

4. No insects that eat mosquitoes are insects that should be killed. All dragonflies are insects that eat mosquitoes. Therefore, no dragonflies are insects that should be killed. This statement is invalid.

5. All corporations that overcharge their customers are unethical businesses. Some unethical businesses are investor-owned utilities. Therefore, some investor-owned utilities are corporations that overcharge their customers. This statement is valid.

A Venn diagram uses overlapping circles and other shapes to show logical relationships between two or more groups of elements. It often helps to organize things graphically by highlighting similarities and differences between elements.

Venn diagrams, also known as set diagrams or logic diagrams, are widely used in mathematics, statistics, logic, education, linguistics, computer science, and economics. Venn diagrams became part of his "new mathematics" curriculum in the 1960s, so many people encounter them for the first time when learning mathematics or logic in school. These can be simple diagrams spanning 2 or 3 sets of a few items, or can be very sophisticated including 3D presentations as you progress to 6 or 7 sets or more. There is also They are used to reason about and represent how objects are related to each other within a particular "universe" or segment. Venn diagrams are widely used in presentations and reports as they allow users to visualize data in a clear and powerful way. These are closely related to Euler diagrams, differing in that the set is omitted if it has no elements. Venn diagrams show relationships even when the set is empty.

Suppose our universe is made up of pets and we want to compare the types of pets that families agree on.

Set A contains my favorites: dogs, birds, hamsters.

Set B contains Family B's preferences: dog, cat, fish.

Set C contains family C's favorites: dog, cat, turtle, and snake.

Overlapping or intersecting 3 sets contains only Dog. it's like having a dog

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The slope of the graph is \(-8\frac{1}{2}\).

The slope of a line is the change in the independent variable with respect to the change in the dependent variable.  

The slope is rise over run.

The slope of the line in the graph be found as follows:

slope = m = y₂ - y₁ / x₂ - x₁

using (1, -8) and (-1, 9)

x₁ = 1

x₂ = - 1

y₁ = - 8

y₂ = 9

Therefore,

slope = m = 9 + 8 / -1 - 1

slope = 17 / - 2

Therefore,

slope = - 17 / 2

slope = \(-8\frac{1}{2}\)

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Answer:

42-13 =28 so there are 28

Answer:

They are similar by SAS similarity.

Step-by-step explanation:

The angles SRQ and UTV are congruent, as given. The sides of both angles are proportionate, as 64/32=16/8. This means that the triangles have similar sides SR, UT and QR, VT. Since the angle is in the middle, we can conclude it's SAS or side angle side similarity.

Hope this helps :)

The correct answer is "Discrete-valued numerical variables".

The binomial probability model is useful in situations where we are interested in studying the probability of a certain number of successes in a fixed number of independent trials, where the outcome of each trial is either success or failure. Therefore, the binomial probability model is useful when dealing with discrete-valued numerical variables.

Thus, the correct answer is "Discrete-valued numerical variables".

Option b.) Categorical variables is incorrect because the binomial model is specifically designed for numerical variables and not for categorical variables.

Option c.) Continuous-valued numerical variables is incorrect because the binomial model is specifically designed for discrete-valued variables, where there are only a finite number of possible outcomes.

Option d.) Both discrete-valued and continuous-valued variables is incorrect because the binomial probability model can only be used for discrete-valued variables.

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Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Answer:

7.8

-7.9

-17.40

1. 5.6

-2. 17.18

-5. 7.12

.8 15.22

Step-by-step explanation:

the probability that a randomly selected passenger car gets more than 35 mpg is approximately 0.3665.

the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg is approximately 0.087

the probability that all of the passenger cars get more than 35 mpg is approximately 0.015.

We need to find \(P(X > 35),\) where X is the mpg rating of a randomly selected passenger car.

The standard normal distribution and Table 1, we have:

\(z = (35 - 33.8) / 3.5 = 0.34\)

\(P(X > 35) = P(Z > 0.34) = 0.3665\)

\(P(\bar X > 35)\), were \(\bar X\) is the sample mean mpg rating of four randomly selected passenger cars.

The population standard deviation, we use the t-distribution with \(n-1\) degrees of freedom (were \(n = 4\)) and Table 1. We have:

\(t = (35 - 33.8) / (3.5 / \sqrt(4)) = 1.83\)

Using Table 1 with 3 degrees of freedom (\(n-1 = 4-1\)), we find:

\(P(T > 1.83) = 0.087\)

We need to find \(P(X1 > 35\) and \(X2 > 35\) and \(X3 > 35\) and \(X4 > 35\)), where X1, X2, X3, and X4 are the mpg ratings of four randomly selected passenger cars.

Since the mpg ratings of the four cars are independent and identically distributed, we have:

\(P(X1 > 35\)and\(X2 > 35\) and \(X3 > 35\) and \(X4 > 35\)) =\(P(X > 35)^4\)

From part (a), we know that\(P(X > 35) = 0.3665.\)

\(P(X1 > 35\)and \(X2 > 35\) and\(X3 > 35\) and \(X4 > 35) = 0.3665^4 \approx 0.015\)

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Answer:

B

Step-by-step explanation:

Formula

1/2*h(b1+b2)

Substitute 5 for h, 7 for b1 and 10 for b2

1/2*5(7+10)

Add 7 and 10 together  

1/2*5(17)

Divide 5 by 2  

2.5(17)

Multiple

42.5

With the survey, the following statements are true;

1. 11th graders and 12th graders equally likely to prefer soccer

2. A 12th grade student is less likely to prefer soccer to a 11th grade student and

3 A 11th grade student is more likely to prefer basketball than a 12th grade student.

4. The data suggests there is an association between what grade the student are in and their preference of soccer or basketball

A statement is true if what it asserts is the case, and it is false if what it asserts is not the case. For instance, the statement “The trains are always late” is only true if what it describes is the case, i.e., if it is actually the case that the trains are always late.

The true statement of a data are the positive facts that can be derived from the data. For example, with the survey of 84 students, 48, 11th graders and 36, 12th graders. The following facts can be obtained:

A. 11th graders and 12th graders equally likely to prefer soccer

B. . A 12th grade student is less likely to prefer soccer to a 11th grade student and

C. A 11th grade student is more likely to prefer basketball than a 12th grade student.

d . The data suggests there is an association between what grade the student are in and their preference of soccer or basketball.

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The sample percentage (p) represents the proportion of people in a sample who have a particular attribute or trait. The correct option is A.

The sample percentage (p) represents the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or objects) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.

Given there are 36 successful outcomes in a sample with a size of 80. Therefore, the sample proportion is,

Sample proportion = 36/80 = 0.45

Hence, the correct option is A.

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Answer: d.

Step-by-step explanation:

each shirt costs 12.25

Answer:

R to S

Step-by-step explanation:

Point B is the image of point A under a rotation about the origin.

Rotation is a transformation in which an object or a point is turned around a fixed point or a fixed axis. The fixed point or axis is called the center of rotation, and the angle of rotation specifies the amount and direction of the turn. When an object is rotated, its orientation changes but its shape and size remain the same.

For example, if you rotate a square by 90 degrees around its center, it will look the same as before, but it will be oriented differently. Similarly, if you rotate a point in a coordinate system around the origin, its position will change, but its distance from the origin will remain the same.

Rotations are commonly used in geometry, physics, and engineering to describe the motion of objects, such as the rotation of the Earth around its axis or the rotation of a wheel on an axle. They are also used in computer graphics to create animations and in robotics to control the movement of robotic arms and other devices.

When point A is rotated about the origin to form point B, the distance between the origin and each point remains the same. The direction from the origin to point A and the direction from the origin to point B are related by the angle of rotation. Specifically, point B is the image of point A under a rotation about the origin.

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Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

We want to solve the following equation for x:

First, let's expand the parenthesis on the right side of the equation using the distributive property

To add the terms with x, we just need to add their coefficients.

Subtracting 5x from both sides of the equation:

Now, if we subtract 7 from both sides, we have

Since this is a first degree polynomial, it has only one solution and this solution is x = - 13.

Answer:

Basic Cable Company A= 30x + 75

Basic Cable Company B= 40x

After 7.5 months, it's more economical to go with Company A. Before 7.5 months, Company B is cheaper

Step-by-step explanation:

Regarding organizational effectiveness, the best level of cohesiveness in groups is moderate. Moderate cohesiveness in groups strikes a balance between too little and too much cohesion.

While some level of cohesiveness is necessary for effective group functioning, extreme levels of cohesiveness can lead to negative outcomes. Moderate cohesiveness allows for a healthy level of cooperation, collaboration, and shared commitment among group members. It fosters a sense of unity and promotes positive group dynamics, such as effective communication, trust, and mutual support. This level of cohesiveness encourages group members to work together towards common goals, leading to improved performance and productivity. On the other hand, both low and extremely high levels of cohesiveness can have detrimental effects on group effectiveness. Low cohesiveness can result in disengagement, lack of collaboration, and decreased commitment to group goals. Conversely, extremely high cohesiveness can lead to groupthink.

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According to the lecture, the term that refers to an unequal distribution of rewards between men and women, reflecting their different positions in a social hierarchy, is gender inequality.

Gender inequality is a concept that highlights the disparities and imbalances in the treatment, opportunities, and rewards experienced by individuals based on their gender. It acknowledges that women and men occupy different positions in social, economic, and political structures, leading to unequal distribution of resources, power, and privileges. In the context of the lecture, gender inequality specifically refers to the differential allocation of rewards, such as income, career opportunities, education, and social status, between men and women.

This unequal distribution of rewards can manifest in various forms, including gender pay gaps, limited access to leadership positions, underrepresentation of women in decision-making roles, and societal interest and stereotypes that perpetuate gender-based discrimination.

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The duration for the workout of Plan A is (total hours trained on Tuesday - total hours trained on Monday) / 2, and the duration of Plan B is (total hours trained on Monday - total hours trained on Tuesday) / 2.

Let's assume that Plan A lasts for x hours and Plan B lasts for y hours.

We can set up a system of two linear equations using the information provided:

x + y = hours trained with Plan A and Plan B on Monday

x + y = hours trained with Plan A and Plan B on Tuesday

Adding the two equations together:

2x + 2y = total hours trained on both days

Simplifying this equation, we get:

x + y = total hours trained on both days / 2

We can substitute this expression for x + y in one of the original equations, say the first one:

x + y = hours trained with Plan A and Plan B on Monday

(total hours trained on both days / 2) = hours trained with Plan A and Plan B on Monday

Similarly, we can substitute x + y in the second equation:

(total hours trained on both days / 2) = hours trained with Plan A and Plan B on Tuesday

Now we have two equations with two variables:

x + y = total hours trained on both days / 2

x + y = hours trained with Plan A and Plan B on Monday

Subtracting the second equation from the first, we get:

0 = (total hours trained on both days / 2) - (hours trained with Plan A and Plan B on Monday)

Therefore,

hours trained with Plan A and Plan B on Monday = total hours trained on both days / 2

We can use the same logic to find the hours trained with Plan A and Plan B on Tuesday:

hours trained with Plan A and Plan B on Tuesday = total hours trained on both days / 2

Since we know the total hours trained on both days and the hours trained with Plan A and Plan B on each day, so solving for x and y:

x = hours trained with Plan A and Plan B on Monday - hours trained with Plan A and Plan B on Tuesday

y = hours trained with Plan A and Plan B on Tuesday - hours trained with Plan A and Plan B on Monday

Substituting the expressions we found earlier, we get:

x = (total hours trained on both days / 2) - hours trained with Plan A and Plan B on Tuesday

y = (total hours trained on both days / 2) - hours trained with Plan A and Plan B on Monday

We can simplify these expressions to get:

x = (total hours trained on Tuesday - total hours trained on Monday) / 2

y = (total hours trained on Monday - total hours trained on Tuesday) / 2

Therefore, the duration of Plan A is (total hours trained on Tuesday - total hours trained on Monday) / 2, and the duration of Plan B is (total hours trained on Monday - total hours trained on Tuesday) / 2.

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Answer:

A. Kaitlyn uses more cups of flour per cookie.

Step-by-step explanation:

Kaitlyn's

\(2\frac{1}{2}\) cups of flour---> \(3\frac{1}{2}\) cookies

1 cups of flour--> \(3\frac{1}{2}\) / \(2\frac{1}{2}\) = 1.4 cookies.

Megan's

\(1\frac{3}{4}\) cups of flour---> \(2\frac{11}{12}\)

1 cups of flour---> \(2\frac{11}{12} / 1\frac{3}{4}\) = 1.67 cookies

Therefore, Kaitlyn uses more cups of flour per cookie.