Move a symbol to each box to compare the fractions.
5/6 10/12
12/100 10/12
<>=

Answer:

y = 2/5x + 18.

Step-by-step explanation:

The line will have the same slope of 2/5.

Using the point-slope form of a line:

y - 12 = 2/5(x - -15)

y - 12 = 2/5(x + 15)

y = 2/5x + 6 + 12

y = 2/5x + 18.

Answer:

y  = (2/5)*x + 18

Step-by-step explanation:

Because the line is parallel to the line y = 2/5 x + 17, the slope of the new line has to be the same as well. So far, we have y = (2/5)*x .

Now what we can do is plug in -15 for x and see what we get for y. Because we get -6, we need 18 more to make it 12. Because of that, the y-intercept is 18 to make the equation of the line y  = (2/5)*x + 18.

The measure of central location that is not sensitive to extreme values is the median.

Option (b) The median represents the middle value of a dataset when it is arranged in ascending or descending order. It is not influenced by extreme values or outliers.

Option (a) The mean is sensitive to extreme values because it takes into account all the values in the dataset, including the extreme values. A single extreme value can significantly affect the mean.

Option (c) The mode represents the value that appears most frequently in a dataset. It is not typically affected by extreme values, but if the dataset has multiple modes, it may not be a reliable measure of central location.

Therefore, The measure of central location that is not sensitive to extreme values is the median. the correct answer is (b) The median.

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\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Using inequalities, we can find that the 1st, 2nd and 4th inequality is correct. They are as follows:

1.2 < √5/2 < 1.8

√3/2 < √2 < 1.5

√6 < 2.5 < √7

When utilising the "equal to" symbol in mathematics, equations are not necessarily balanced on both sides. When one thing is superior to or inferior to another, the relationship is commonly referred to as "not equal to". A link between two numbers or other mathematical expressions that leads to an unfair comparison is referred to as an inequality in mathematics. In algebra, inequalities are a particular kind of mathematical expression.

Here in the question:

1st inequality given:

1.2 < √5/2 < 1.8

Now the value of √5/2

= 2.23/2

= 1.11

So, the inequality is correct.

Next, we have:

√3/2 < √2 < 1.5

Now, value of √3/2

= 1.73/2

= 0.86

Value of √2

= 1.41

So, the inequality is correct.

Next, we have:

2.1 < 2.3 < √5

Value of √5

= 2.23

So, this inequality is incorrect.

Next, we have:

√6 < 2.5 < √7

Value of √6

= 2.44

Value of √7

= 2.64

So, the inequality is correct.

Finally, we have:

√3 < 1.8 < √7/2

Now value of √3

= 1.73

Now value of √7/2

= 2.64/2

= 1.32

So, this inequality is incorrect.

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There is no significant evidence to reject the claim that the mean rainfall from seeded clouds is 28.5 acre-feet at the 95% confidence level.

To test the claim that the mean rainfall from seeded clouds is 28.5 acre-feet, we can use a one-sample t-test.

First, we calculate the sample mean and standard deviation of the rainfall data:

Sample mean, \($\bar{x} = (18.0 + 30.7 + \ldots + 31.6)/20 = 26.545$\)

Sample standard deviation, s = 4.682

Using these values and the sample size, n = 20, we can calculate the t-statistic:

\(t = \frac{\bar{x} - \mu}{s/\sqrt{n}} = \frac{26.545 - 28.5}{4.682/\sqrt{20}} = -1.872\)

The degrees of freedom for the test are df = n - 1 = 19. Using a two-tailed t-table with α = 0.05 and df = 19, we find the critical values to be ±2.093. Since |t| = 1.872 < 2.093, we fail to reject the null hypothesis that the mean rainfall is 28.5 acre-feet.

To construct a confidence interval on the mean rainfall, we can use the formula:

\(\begin{equation*}CI = \bar{x} \pm t_{\alpha/2} \frac{s}{\sqrt{n}}\end{equation*}\)

where \(\bar{x}\), s, and n are the same as in part (a), and \(t_{\alpha/2}\) is the t-score for the desired level of confidence and degrees of freedom.

For a 95% confidence interval, α/2 = 0.025, and using df = 19, we find \(t_{0.025} = 2.093\).

Substituting the values into the formula, we get:

\($CI = 26.545 \pm 2.093 \times \frac{4.682}{\sqrt{20}} = (23.389, 29.701)$\)

Since 28.5 is within the confidence interval, we can say that there is no significant evidence to reject the claim that the mean rainfall from seeded clouds is 28.5 acre-feet at the 95% confidence level.

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Answer:

Tip Total: $ 5.79

Tip Each Person: $ 2.90

Total (Bill + Tip): $ 34.74

Total Each Person: $ 17.37

Step-by-step explanation:

hope that helps homie

Answer:Answer:

224 in^3

Step-by-step explanation:

The foruma appropriate to the calculation of the cone's volume is ...

V = (1/3)Bh

where B represents the area of the base and h represents the height.

For your numbers, this is ...

V = (1/3)·(48 in^2)(14 in) = (16 in^2)(14 in) = 224 in^3

Please mark me  

Answer:

Step-by-step explanation:

f(2) = 6        (what multiplies 2 to equal 6?)*2 = 6

It seems like x gets multiplied by three. Let's check the next one:

f(-1) = -3

Ah ha! We were right. Let's check one more time:

2 * 3 = 6

-1 * 3 = -3

f(x) just means what is f when x is any number. This function that we covered above is: f(x) = 3x

To calculate the width of the loss cone at a radius of 25,000 km, we can use trigonometry by taking the arctangent of the ratio of the width to the radius.



The loss cone is a concept used in plasma physics to describe the region of particles' pitch angles that are vulnerable to being lost or escaping from a confined plasma system. The width of the loss cone can be calculated using trigonometry.At a given radius of \( 25,000 \) km, we can consider a line connecting the center of the system to the point on the loss cone. This line represents the magnetic field line. The width of the loss cone can be determined by the angle formed between this line and the tangent to the loss cone.

To calculate this angle, we need the radius of the system, which is \( 25,000 \) km. Assuming a spherical system, we can consider the tangent to the loss cone as a line perpendicular to the radius. In this case, we have a right triangle where the radius is the hypotenuse.Using basic trigonometry, we can determine the angle by taking the inverse tangent of the ratio of the width of the loss cone (opposite side) to the radius (hypotenuse). The width of the loss cone will be the arctangent of the ratio.



Therefore, To calculate the width of the loss cone at a radius of 25,000 km, we can use trigonometry by taking the arctangent of the ratio of the width to the radius.

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Answer:

c, 4/3

Step-by-step explanation:

you need to isplate y so subtract 5 from both sides then divide both sides by 3, the coefficient of x is now 4/3 and x coefficient is the slope

Answer:

\(-\frac{5}{32}\)

Step-by-step explanation:

\(\frac{1}{2(2)^4}-\frac{3}{4(2)^2} \\\frac{1}{32} - \frac{3}{16} = -\frac{5}{32}\)

Answer:

p=-1

Step-by-step explanation:

3x^2+6x-6=0

Add 6 on both sides

3x^2+6x=6

Divide through by 3

x^2+2x=2

Complete the square on the right side

If a quadratic equation is given by

ax^2+bx+c=0

then c=b/2

x^2+2x=2

c=2/2=1

Adding 1 on both sides

x^2+2x+1=2+1

x^2+x+x+1=3

Combining

x(x+1)+1(x+1)=3

(x+1)(x+1)=3

(x+1)^2=3

p=-1

Answer:

8.28

Step-by-step explanation:

since you have 5, you would round up 1 so 8.

You’re welcome :)

The number of stores located in California at the end of 2016 was 16, so the answer is (d) 16.

What is percentage?

Percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". Percentages are commonly used to represent part of a whole or a proportion of a quantity.

At the end of 2010, the business had 140 stores in the United States.

By the end of 2016, the number of stores in the United States had increased by 60%. To find out how many stores there were at the end of 2016, we need to add 60% of the original number of stores to 140:

Number of stores at end of 2016 = 140 + 0.6*140 = 140 + 84 = 224

So there were 224 stores in the United States at the end of 2016.

If 1/14 of these stores were located in California, we can calculate the number of stores located in California as follows:

Number of stores in California = (1/14) * 224 = 16

Therefore, the number of stores located in California at the end of 2016 was 16, so the answer is (d) 16.

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A total of 336 tubs of cookie dough were sold in all.

A ratio or figure stated as a fraction of 100 is called a percentage. The sign "%" is frequently used to indicate it as a percentage or a component of a total.

So, the number of tubs sold in each week can be represented by the following sequence:

Week 1: 100

Week 2: 0.8(100) = 80

Week 3: 0.8(80) = 64

Week 4: 0.8(64) = 51.2 ≈51

Week 5: 0.8(51) = 40.8≈41

To find the total number of tubs sold in all 5 weeks, we can add up the number of tubs sold in each week:

Total = 100 + 80 + 64 + 51 + 41

Total = 336

Therefore, a total of 336 tubs of cookie dough were sold in all.

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Answer: a little more than halfway between 2 and 3

Step-by-step explanation: you need to find out the simplist orm, then you find out the extra decimal places(for this one its 2.666...) you need to find where that would be on a number line and there you have it!!

Hope this helped!! <3

The candidate key for the relation schema R(A,B,C,D,E): A→B, C→B, D→A, D→B, D→C, C→D, D→E.

Candidate key for the given relation: To find the candidate key for the relation schema R(A,B,C,D,E), we need to follow the below steps:

Here, we have the following functional dependencies: A→B, C→B, D→ABC, AC→D, D→E.

Step 1: To normalize the given dependencies, we have the following dependencies:

A→B, C→B, D→ABC, AC→D, D→E becomes

A→B, C→B, D→A, D→B, D→C, D→E.

Step 2: To check for the minimal dependency, we can eliminate the redundancy by eliminating D→ABC. Therefore, we have the following dependency:

A→B, C→B, D→A, D→B, D→C, D→E.

Step 3: Find the closure on each attribute, which is as follows:

1. A+ = {A,B}

2. B+ = {B}

3. C+ = {B}

4. D+ = {A,B,C,D,E}

5. E+ = {E}

Step 4: The combination of attributes that have all attributes of the relation schema, and it will be a candidate key is AD. Therefore, the candidate key is AD.

Compute the minimal cover of F:

Minimal Cover: The minimal set of dependencies that is equivalent to the given set of dependencies is the minimal cover.

We have the following functional dependencies:

A→B, C→B, D→ABC, AC→D, D→E.

The process to compute the minimal cover of F is as follows:

Step 1: To find the redundant dependencies, we need to split the dependencies. We have the following dependencies:

A→B, C→B, D→ABC, AC→D, D→E  becomes

A→B, C→B, D→A, D→B, D→C, D→E.

Step 2: To eliminate the dependencies with three attributes, we can use the following steps:

If X→YZ, then X→Y and X→Z.

Therefore, we have the following dependency:

D→A, D→B, D→C.

Step 3: To eliminate the dependency with two attributes, we can use the following steps:

If X→Y and Y→Z, then X→Z.

We have the following dependency: AC→D, C→D.

Step 4: Therefore, the minimal cover of F is A→B, C→B, D→A, D→B, D→C, C→D, D→E.

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Answer:

Nope

Step-by-step explanation:

If they did, school wouldn't be a thing and I would be living in the Marvel universe lol

According to the moral choices textbook, ethics and morality are distinct but interconnected concepts. Ethics refers to the actual content of what is considered right and wrong within a particular moral framework or system. It deals with the principles, values, and standards that guide human behavior and decision-making.

Ethics provides a set of norms or rules that help individuals evaluate actions and determine their moral worth.

On the other hand, morality refers to the process of determining right and wrong. It encompasses the various factors, such as cultural, societal, and personal influences, that shape an individual's moral beliefs and judgments.

Morality is a dynamic and complex phenomenon that evolves over time and differs across cultures and individuals. It involves the consideration of various perspectives, reasoning, and critical thinking to arrive at moral conclusions.

While ethics focuses on the principles and rules that define right and wrong, morality encompasses the broader context in which ethical decisions are made.

It involves the examination of motives, intentions, consequences, and the moral responsibility of individuals. In essence, ethics provides the foundation for morality, and morality applies ethical principles in the real-world decision-making process.

It is important to understand the distinction between ethics and morality to engage in meaningful discussions and analyses of moral choices and ethical dilemmas.

By recognizing the content and process aspects of ethics and morality, individuals can better navigate complex moral landscapes and make informed decisions aligned with their values and principles.

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The value of the nine-box matrix depends most heavily on its ability to provide a visual representation of talent potential and performance, allowing organizations to identify and develop key individuals for succession planning and talent management.

The matrix considers both current performance and future potential, enabling companies to make informed decisions regarding employee development, promotion, and succession strategies.

The nine-box matrix is a widely used tool in talent management and succession planning. It consists of a grid divided into nine quadrants, with the vertical axis representing performance and the horizontal axis representing potential. By plotting employees' positions on the matrix based on their performance and potential ratings, organizations can assess the strength and potential of their talent pool.

The value of the nine-box matrix lies in its ability to visually depict an organization's talent landscape. By categorizing employees into different quadrants, such as high performers with high potential, high performers with limited potential, low performers with high potential, and low performers with limited potential, the matrix offers insights into the future trajectory of individual employees and the overall talent pool.

This visual representation enables organizations to make data-driven decisions in various aspects of talent management. For example, high performers with high potential can be identified as prime candidates for leadership development programs or key positions within the organization. On the other hand, low performers with limited potential may require additional support or alternative career paths. The matrix facilitates discussions around succession planning, employee development, and talent retention strategies.

Additionally, the nine-box matrix fosters a systematic approach to talent management by providing a framework for evaluating and comparing employees' performance and potential across different teams and departments. It helps organizations identify talent gaps and allocate resources effectively. By regularly updating the matrix and tracking changes over time, organizations can monitor the progress of their talent development initiatives and adjust strategies accordingly.

In conclusion, the value of the nine-box matrix lies in its ability to visually represent talent potential and performance, allowing organizations to make informed decisions about employee development, succession planning, and talent management. It serves as a powerful tool for identifying high-potential individuals, addressing talent gaps, and aligning business objectives with the capabilities of the workforce.

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If class A is a friend of class B and class B is a friend of class C, the following statement is true:The correct answer is Class C is friend of class A.

Class C is a friend of class A.Relationships between classes can be defined through the concept of friend classes in object-oriented programming.

Friend classes can be used in object-oriented programming to enhance data encapsulation, which is a feature of object-oriented programming that allows you to hide data and restrict access to data by restricting access to methods that manipulate data.

In object-oriented programming, a friend class is a class that is given access to private or protected members of another class that it is a friend of.

The term "friendship" is used to describe the relationship between these two classes.

Therefore, in the given scenario, if class A is a friend of class B and class B is a friend of class C, the relationship of friendship allows Class C to have access to the private and protected members of class A as well.

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Answer:

Step-by-step explanation:

54%

Answer:

54%

Step-by-step explanation:

54%

Answer:

0.0208333...

Step-by-step explanation:

You would just divide 7 seconds by 3600 seconds (1 hr) and that would be ur answer so in this case it would be 0.0208333...

Answer:

1/48 or 0.02083 hours

Step-by-step explanation:

75s×1 min/60s×1 hour/60 mins so the seconds and minutes cancel out and you are left with 75/3600=1/48 hours

Given:

• x - 3 = x + 3

Let's solve the equation above

x - 3 = x + 3

x - x = 3 + 3

0 = 6

Therefore, since 0 = 6, we can say the equation has no solution.

Equation 2:

-4x - 8 = 4x + 8

Let's solve the equation.

-4x - 4x = 8 + 8

-8x = 16

Divide both sides by -8:

Since x = -2, we can say the equation has one solution

ANSWER:

a) No solution

b) One solution

Answer: I think the answer is 50minutes

Step-by-step explanation:

750/15=50

The angle measures that satisfy cos theta = 1/2 are

To find all angle measures for which cos theta = 1/2, we can use the unit circle and look for the x-coordinate of the point where the angle intersects the unit circle.

The x-coordinate (cosine) is equal to 1/2 at two points on the unit circle:

However, the given angle measures are not all within one revolution (360 degrees or 2pi radians), so we need to find equivalent angles within one revolution.

To do this, we can add or subtract multiples of 360 degrees or 2pi radians from the given angles until they are within one revolution.

-120° = 360° - 120° = 240°

-60° = 360° - 60° = 300°

120° = 120°

600° = 600° - 1(360°) = 240°

660° = 660° - 2(360°) = 60°

So the angle measures that satisfy cos theta = 1/2 are -120° (or 240°), -60° (or 300°), and 660° (or 60°).

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