Karen is Toys&Fun's general manager. She is evaluating employees' performance using annual sales records supplied by six store managers.
Aga: HK$1,830,000
Dion: HK$1,998,000
Ben: HK$1,669,000
Eason: HK$1,749,000
Carl: HK$2,205,000
Fay: HK$1,638,000Question:
(a) According to alternation ranking method, is the second-best shop manager.
(b) According to alternation ranking method, is the second-worst shop manager.

Answer:

i love uuuuuuuuuuuuuuuuuuuuuuuu

Step-by-step explanation:

The dimensions of the shop are either 20 meters by 8 meters or 8 meters by 20 meters. To solve this problem, we need to use the formulas for the area and perimeter of a rectangle.

Let's start by using the formula for the perimeter of a rectangle:

Perimeter = 2(length + width)

We know that the perimeter of the shop is 56 meters, so we can write:

56 = 2(length + width)

Simplifying this equation, we get:

28 = length + width

Now let's use the formula for the area of a rectangle:

Area = length x width

We know that the area of the shop is 160 square meters, so we can write:

160 = length x width

We can use substitution to solve for one of the variables. Let's solve for width in terms of length:

width = 160/length

Now we can substitute this expression for width into the equation for the perimeter:

28 = length + 160/length

Multiplying both sides by length, we get:

28length = length^2 + 160

Rearranging this equation, we get:

length^2 - 28length + 160 = 0

We can solve this quadratic equation by factoring:

(length - 20)(length - 8) = 0

So the possible values for length are 20 meters and 8 meters. If we plug these values into the equation for the width, we get:

width = 160/20 = 8 meters or width = 160/8 = 20 meters

Therefore, the dimensions of the shop are either 20 meters by 8 meters or 8 meters by 20 meters.

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Linear interpolation with 2 DOF (u and v) at each node. Quadratic interpolation with 3 DOF (w) at primary nodes and 1 DOF (w) at midside nodes.

The interpolation model for field variables in the given element depends on the number of degrees of freedom (DOF) at each node. In the first case, where there are 2 DOF (u and v) at each node, a linear interpolation model can be proposed. This means that the field variable would be interpolated using linear shape functions between nodes, allowing for variations in the field variable within the element.

In the second case, where there are 3 DOF (w) at primary nodes and 1 DOF (w) at midside nodes, a quadratic interpolation model can be proposed. This means that the field variable would be interpolated using quadratic shape functions between nodes, allowing for higher-order variations in the field variable within the element.

Both interpolation models ensure continuity of the field variable within the element and are commonly used in the Finite Element Method to approximate and analyze the behavior of structures and systems.

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Answer:

what!!!!!????

Step-by-step explanation:

I don't understand what are we supposed to do

Answer:

B, D, and E

Step-by-step explanation:

I just had the same question

The right triangle, like the other triangles, has three sides, three vertices, and three angles. The difference between the other triangles and the right triangle is that the right triangle has a 90  angle.

To find missing angles and sides and round to the nearest tenth, you can use different methods depending on the given information and the type of triangle or shape involved.

Some common methods include:
Trigonometric ratios (sine, cosine, tangent) for right triangles.
Angle sum property or exterior angle property for triangles.
Pythagorean theorem for right triangles.
Law of cosines and law of sines for non-right triangles.
To help find the missing angles and sides of a triangle, you need certain information about the triangle, such as known angle and side measurements, or information about the properties of the triangle.

Without this information, no concrete calculations can be made.

Provide the necessary information or describe the problem in more detail and we will help you find the missing corners and sides of the triangle and round it to tenths.

Remember to always check if any additional information is given, such as side lengths or angles ' 7 and to apply the appropriate formula or property to find the missing value.

Round your answer to the nearest tenth as specified.

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A hot air balloon moves 1.2 kilometres horizontally from its launch location. From the launch site to the balloon, there is a 15° elevation difference. 3400 feet are covered.

The balloon flies.

\($\begin{aligned} \tan 15^{\circ} & =\frac{D C}{A C} \\ A C & =\frac{D C}{\tan 15^{\circ}} \\ & =\frac{450}{\tan 15^{\circ}} \\ & =1,680 \mathrm{ft} \\ \angle A C B & =180^{\circ}-\left(13^{\circ}+19^{\circ}\right) \\ & =148^{\circ}\end{aligned}$\)

By using the triangle ABC,

\($\frac{A B}{\sin 148^{\circ}}=\frac{2117}{\sin 19^{\circ}}$\)

\($\begin{aligned} A B & =\frac{2117 \sin 148^{\circ}}{\sin 19^{\circ}} \\ & =3,400 \mathrm{ft}\end{aligned}$\)

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The number of the cookies present in the store is 8 according to the cost.

According to the statement

We have to find the number of cookies are present in the store.

So, For this purpose, we know that the

From the given information:

The cost which is described by the formula

2.5A + 10 = 3.75B

And it is given that the store a will be = store B.

The cost formula is:

2.5A + 10 = 3.75B

Substitute B =A then

2.5A + 10 = 3.75A

3.75A - 2.5A = 10

1.25A = 10

A = 8.

And B = A then B =8.

So, The number of the cookies present in the store is 8 according to the cost.

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The resulting equation is inconsistent and contradictory (0 = -2). This means that the system has no solutions.

The given system of equations is:

-6x + y = 3

12x - 2y = -8

To determine the number of solutions, we can use various methods such as substitution, elimination, or matrix methods. Let's use the elimination method:

Multiply the first equation by 2 to make the coefficients of y in both equations cancel out:

-12x + 2y = 6

12x - 2y = -8

Adding the two equations:

0 = -2

The resulting equation is inconsistent and contradictory (0 = -2). This means that the system has no solutions.

Therefore, the correct answer is: No Solutions.

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The standard deviation of the concentration of the unknown sample can be calculated using the formula: Standard deviation of concentration = (Standard deviation of absorbance) / (Average absorbance)

In this case, the standard deviation of the absorbance is given as 0.11 units and the average absorbance is given as 1.23 units.
Using the formula, we can calculate the standard deviation of the concentration:
Standard deviation of concentration = 0.11 / 1.23

= 0.0894
So, the standard deviation of the concentration of the unknown sample is approximately 0.0894.
The standard deviation of the concentration of the unknown sample is 0.0894.
The standard deviation of the concentration of the unknown sample measures how spread out the concentrations are from the average concentration.

It is an important statistical measure that helps in assessing the reliability and precision of the measurements.

In this case, we are given the average absorbance of the unknown sample as 1.23 units and the standard deviation of the absorbance as 0.11 units.

To find the standard deviation of the concentration, we use the formula:

Standard deviation of concentration = (Standard deviation of absorbance) / (Average absorbance).

Plugging in the values, we get:

Standard deviation of concentration = 0.11 / 1.23

= 0.0894.

Therefore, the standard deviation of the concentration of the unknown sample is approximately 0.0894.

This means that the concentrations of the unknown sample measured three times may vary by around 0.0894 units from the average concentration.

It is important to consider this variability when interpreting the results and making conclusions based on the measurements.

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As the number of years since 2010 increases, the average home prices in both Middletown and Kent increase, but the difference between the average prices remains constant at $114,821.

Based on the information provided, we have two neighboring towns, Middletown and Kent, and their average home prices for 5 years since 2010. It is stated that the average price of houses in Middletown in 2010 was $114,821 more than the average price of houses in Kent in 2010.

To analyze the trend in average home prices, we can compare the average prices for each year in both towns. Let's denote the average home prices in Middletown as M and in Kent as K.

From the given information, we know that in the year 2010, M - K = $114,821.

Now, let's examine the trend as the number of years since 2010 increases. If the difference between the average prices remains constant at $114,821, it suggests that both towns experience a proportional increase in average home prices over time.

For example, if we consider the year 2011, the average price in Middletown would be M + x (where x represents the increase in average price), and the average price in Kent would be K + x. The difference between these two averages would still be $114,821.

This pattern continues for subsequent years, indicating that as the number of years since 2010 increases, the average home prices in both Middletown and Kent increase proportionally while maintaining a constant difference of $114,821. In summary, the trend observed is that the average home prices in both towns increase over time, but the difference between the average prices remains constant at $114,821.

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We know that y varies directly with x.

First we need to find the constant of variation

7=14k

k= 7/14

k=1/2

the equation that relates x and y is

We need to determine the number of integers between 1 and 9,999 (inclusive) whose digits sum up to 12. For example, the integer 66 satisfies this condition because 6 + 6 = 12, while 812 does not because the sum of its digits is not 12. We will calculate the count of such integers.

To find the number of integers in the interval [1, 9,999] whose digits sum up to 12, we can consider different cases for the number of digits in the integer.

Case 1: 4-digit integers

In this case, we need to find four-digit integers whose digits sum up to 12. Since the integer must be between 1 and 9,999, the first digit cannot be zero. We can use techniques such as combinatorics to determine the number of combinations of digits that satisfy the condition.

Case 2: 3-digit integers

Similarly, we need to find three-digit integers whose digits sum up to 12. The first digit cannot be zero, and we can apply combinatorics to count the number of valid combinations.

Case 3: 2-digit integers

For two-digit integers, the sum of the digits must be 12. Again, we exclude numbers starting with zero and calculate the count using combinatorics.

Case 4: 1-digit integers

In this case, the only possibility is the integer 12 itself. By summing up the counts from each case, we can determine the total number of integers in the interval [1, 9,999] whose digits sum up to 12.

We need to consider different cases for the number of digits in the integer and apply combinatorics to count the number of integers satisfying the condition. The final count will give us the number of integers between 1 and 9,999 (inclusive) with digits summing up to 12.

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The algorithm completes in an acceptable amount of time because it will draw n forms in around n2 steps.

A mathematical algorithm is a process that describes a series of steps that can be used to accomplish a mathematical computation. A typical illustration of a mathematical algorithm would be the step-by-step process used in long division. A set of instructions called an algorithm is used to solve a problem or complete a task. An algorithm is a set of instructions that spells out how to carry out a task. An algorithm can be thought of as a series of detailed instructions that result in a predictable pattern in a set of numbers or in lines of code.

given

Which of the following best describes the algorithm for drawing n forms, where n is a very big number  based on the numbers in the table.

Because it will take around n2 steps to draw n forms, the algorithm completes in a fair length of time.

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Answer:

19 inches and 26 inches

Step-by-step explanation:

first you have to take 45-7=38

then 38÷2=19

so 19 is one board

last you take 19+7=26

so 26 is the other board

Answer:

62

Step-by-step explanation:

divide 29 by 42 and multiply the answer by 100

Answer: 69.05%

Step-by-step explanation:

21=50%

10.5=25%

(a)the body temperature of the 1601 lb man will increase by approximately 3.0 °C.(b)the body temperature of the 160 lb man will increase by approximately 2.4 °C.

The specific heat of a human is given as 3.47 J/°C. Using this information, we can calculate the increase in body temperature when a certain number of calories are converted into heat energy. In the first scenario, a 1601 lb man consumes a candy bar containing 287 Cal. In the second scenario, a 160 lb man consumes a roll of candy containing 41.9 Cal. We will calculate the increase in body temperature for each case.

(a) To calculate the increase in body temperature for a 1601 lb man who consumes a candy bar containing 287 Cal, we need to convert calories to joules. Since 1 Calorie (Cal) is equal to 4184 joules, we have:
Energy = 287 Cal × 4184 J/Cal = 1.2 × \(10^6\) J
Now, using the specific heat formula Q = mcΔT, where Q is the energy, m is the mass, c is the specific heat, and ΔT is the change in temperature, we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Assuming the mass of the man is converted to kilograms, we have:
ΔT = (1.2 × \(10^6\) J) / (1601 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 3.0 °C
Therefore, the body temperature of the 1601 lb man will increase by approximately 3.0 °C.
(b) For a 160 lb man who consumes a roll of candy containing 41.9 Cal, we repeat the same calculation:
Energy = 41.9 Cal × 4184 J/Cal = 1.75 × \(10^5\) J
ΔT = (1.75 × \(10^5\) J) / (160 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 2.4 °C
Thus, the body temperature of the 160 lb man will increase by approximately 2.4 °C.

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Answer:

it clearly says 17 points not 33

Step-by-step explanation:

Answer:

(-5)+5=0

Step-by-step explanation:

We can see that there are 6 sections and three of them are yellow. So, the theoretical probability of the spinner landing on the yellow section is:

3 ( yellow sections)/ 6 (Total number of sections)

3/6 = 1/2 (Simplifying)

The answer is 1/2.

The probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

It is the ratio in an event of the number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus, he probability of failure of a event is equal to the difference of the 1 to the success of the event.

Mickey tosses a coin 50 times and records 27 heads. Thus, the probability of getting a head is,

\(P=\dfrac{27}{50}\\\)

The probability of not getting a head or getting a tail is,

\(P^{-1}=1-\dfrac{27}{50}\\P^{-1}=\dfrac{50-27}{50}\\P^{-1}=\dfrac{23}{50}\)

Now, Mickey tosses the same coin three more times. The probability of getting three tails in these tosses are,

\(P_{3t}=\dfrac{23}{50}\times\dfrac{23}{50}\times\dfrac{23}{50}\\P_{3t}=\dfrac{12167}{125000}\)

Thus, the probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

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The volume of a rectangular prism is given by the next formula:

If you triple the length you get:

Then, if just the length of a rectangular prism is tripled the volume is also tripled

Answer:

$ 181

Step-by-step explanation:

He has total savings account= $550

If he took out every month = $ 30.75 ,

= $ 369

micheal has total balance = $ 550 - $369

= $ 181

The time necessary for p dollars to double when it is invested at interest rate r compounded annually is given by the formula:

t = (ln 2) / (r ln (1 + r))

When compounded monthly, the formula becomes:

t = (ln 2) / (12 r ln (1 + r/12))

When compounded daily, the formula becomes:

t = (ln 2) / (365 r ln (1 + r/365))

When compounded continuously, the formula becomes:

t = ln 2 / (r)

Note that ln is the natural logarithm function.

To use these formulas, you need to know the value of the interest rate r. For example, if r is 5%, then:

When compounded annually, t = (ln 2) / (0.05 ln 1.05) = 13.86 years
When compounded monthly, t = (ln 2) / (12 x 0.05 ln 1.0041) = 14.21 years
When compounded daily, t = (ln 2) / (365 x 0.05 ln 1.000137) = 14.27 years
When compounded continuously, t = ln 2 / (0.05) = 13.86 years

Therefore, the time necessary for p dollars to double depends on the interest rate and the frequency of compounding. Generally, the more frequently the interest is compounded, the shorter the time necessary for p dollars to double.

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Answer: Any number less than 9.

Step-by-step explanation: The inequality is x is less than 9, that’s what < means, so you can say x is 8, 7, 6, 6.9, etc, x is anything less than 9.

Answer:

-9,0

Step-by-step explanation:

Counterclockwise in math most likely relates to something being negative mean while clockwise most likely relates to something being positive. So if were making a 90 degree turn counterclockwise(negative) then all we need to do is flip the x and y cordinants and make them negative to put it simply.

the sum of all the angles = 180

13x-11 + 8x-9 + 30x-4 =180

51x-24 = 180

51x = 204

x=4

w= 8x-9= 8×4-9

= 2e°

Answer:

23°

Step-by-step explanation:

First, note that the sum of angles in a triangle is 180°.

So, m∠W + m∠B + m∠T = 180°

Substitute the measures.

(8x - 9) + (13x - 11) + (30x - 4) = 180

Simplify.

8x + 13x + 30x - 9 - 11 - 4 = 180

51x - 24 = 180

Add 24 to both sides.

51x = 204

Divide both sides by 51.

x = 4

Then, substitute x = 4 into m∠W

8x - 9 = 8 * 4 - 9 = 32 - 9 = 23°

So, m∠W = 23°

The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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Answer:

3750

Step-by-step explanation:

50*70=35005

5*50=250

Answer:

Width = 5 meters

Length = 12 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 34 meters

Width = x meters

Length = 2x + 2 meters

Perimeter of a rectangle = 2(length + width)

34 = 2{(2x+2) + x}

34 = 2(2x + 2 + x)

34 = 2(3x + 2)

34 = 6x + 4

34 - 4 = 6x

30 = 6x

x = 30 / 6

x = 5 meters

Width = x meters = 5 meters

Length = 2x + 2 meters

= 2(5) + 2

= 10 + 2

= 12 meters