A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a straight line to (1, 1), while a black ant leaves the anthill and moves along a straight line to (−1, −1). Next, the red ant moves to (2, 2), while the black ant moves to (−2, −2). Then the red ant moves to (3, 3), while the black ant moves to (−3, −3), and so on. Complete the explanation of why the red ant and the black ant are always the same distance from the anthill.

Answer:

Distrubute it equally

Step-by-step explanation:

Answer:

Sampling distributions are a fundamental concept in statistics. They describe the distribution of sample statistics, such as means and proportions, over many samples of the same size taken from the same population. Sampling distributions provide essential information about the variability and stability of these sample statistics and help us make inferences about the population parameters.

The central limit theorem states that, as the sample size increases, the distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution. We can use regular distribution models to predict the sample mean and estimate the population means with confidence intervals.

In addition to the central limit theorem, other essential concepts in sampling distributions include the law of large numbers, which states that the average of the sample means approaches the population means as the sample size increases, and the standard error of the mean, which is a measure of the variability of the sample mean.

Knowing about sampling distributions is essential for understanding statistical inference and for making informed decisions about populations based on sample data. They provide a framework for evaluating the reliability and accuracy of sample statistics, and they play a crucial role in hypothesis testing, estimation, and other data analysis techniques.

This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.

The determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.

The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.

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The given function has no solution it will be false for all real values of x.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given a function –1/2 (12x – 2) = –6x – 1

Simplifying the given function using the rule of PEMDAS

=> –1/2 (12x – 2) = –6x – 1

multiply by -2 on both sides

=> 12x - 2 = 12x +2

==> 4 = 0

Therefore, the given function has no solution it will be false for all real values of x.

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Answer:

its 5/45

Step-by-step explanation:

Answer: $2240

Step-by-step explanation:

$1400 x 1.60 = $2240

The graph that shows the following system of equations and its solution is graph number C

A graph is the graphical representation of equations on a graph sheet

The given equations are

-4x-3y=4

4x-y=-4 Solving the equations

In equation 1

When x = 0

-3y = 4

y=-4/3                  (0, -4/3)

When y = 0

-4x = 4

x= -1            (-1, 0)

In equation 2 when x = 0

-y = -y = 4             (0, 4)

When y = 0

4x=-4 x=-1              (-1, 0)

When these coordinates are used to plot the graph, graph number is is obtained.

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Answer:

82.554

Step-by-step explanation:

take 85.23 subtract from 2.676;

= 85.23-2.676

=82.554

The minimum number of bins that she will need to safely stock the extra clothing will be 24

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

The minimum number of bins that she will need to safely stock the extra clothing will be:

= 350 / 15

= 24 rounded up.

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Answer:

12 is the correct answer

Step-by-step explanation:

12 is correct ans

The equation of a parabola with center (h, k) and focus (h + p, k) can be written in standard form as:

What exactly is a parabola?

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

(x - h)²  + (y - k)²  = 4p² (y - k)

Plugging in the values from the given information:

h = 6, k = -4, p = 2√6

The equation is:

(x - 6)²  + (y + 4)² = 4(2√6)² (y + 4)

Expanding and simplifying:

(x - 6)² + (y + 4)²  = 144(y + 4)

Expanding the right side further:

(x - 6)²  + (y + 4)²  = 144y + 576

Rearranging the equation:

(x - 6)²  = 144y + 576 - (y + 4)²

Distributing and completing the square on the right side:

(x - 6)²  = 144y + 576 - y²  - 8y - 16

(x - 6)²  = 144y - y²  - 8y + 560

Expanding the square on the left side:

x²  - 12x + 36 + y² - 144y + 8y²  = 560

Combining like terms:

x²  - 12x + y²  - 156y + 8y²  + 36 = 560

Rearranging to standard form:

8y²  - 156y + x² - 12x + 36 = 560

Subtracting 560 from both sides:

8y²  - 156y + x² - 12x - 524 = 0

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The value that tells us the skewness of the data that we have here is -0.4273

The skewness of the data distribution is the statistic that is used to tell us of the level of asymmetry that is in the data set.

In order to solve for the skewness, we would have to use Microsoft excel

All of values would be entered into the formula

SKEW (418, 184, 264, 347, 485, 382)

The output that it would display can be rounded to -0.427

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The solution is, Only member B and D will reach their goal.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Given;

Amount to be saved = $285

Total time to save money = 5 weeks

Now,

For member A:

Working hours = 8 per week

per hour earnings = $6.15

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 8 × 5 × 6.15

= $246

For member B:

Working hours = 10 per week

per hour earnings = $5.85

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 10 × 5 × 5.85

= $292.5

For member C:

Working hours = 7 per week

per hour earnings = $7.25

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 7 × 5 × $7.25

= $253.75

For member D:

Working hours = 9 per week

per hour earnings = $6.35

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 9 × 5 × $6.35

= $285.75

Since, the amount earned by member B and D is greater than the goal amount and the amount earned by member A and C is less than the goal amount

therefore,

Only member B and D will reach their goal.

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Answer:

Step-by-step explanation:

Answer is A

3250 is the total cost

$95 is the cost of installation

Cost for 642 square feet

=3250 - 95=3155

Cost of installation per square feet = 3155/642=4.91

Cost of Carpet City per square feet = $5

Cost of Westside carpet per square feet = $4.91

So Carpet City charges more

Answer:the answer is 47

Step-by-step explanation:

100 - 55 = 45, which represents the 7-12 year olds who chose comedy

98 - 45 = 53, people in 13-18 who chose comedy

100 - 53 = 47 which represents the people of 13-18 who chose action and adventure

HOPE THIS HELPS!!!!

The total problems assigned over the weekend are 15.

Let's assume the total number of problems assigned = x.

Given that problems solved on Saturday is 3/5 of her total questions. This is represented as:

(3/5)x

The remaining problems are:

1 - (3/5)x = (2/5)x

On, Sunday the problems solved are 1/3 of the remaining. This is represented as:

(1/3)*(2/5)x = (2/15)x

The remaining problems are:

(1 - 1/3)(2/5 x) = (2/3) * (2/5)x = 4/15x

Given that the final number of problems remaining are 4, that is:

(4/15)x = 4

x = 4 (15/4)

x = 15

Hence, the total problems assigned over the weekend are 15.

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The correlation coefficient, r, for each of the graph is:

Graph 1: 0.88.

Graph 2: 0.43

Graph 3: -0.75

Graph 4: -0.1.

You can visually examine the graph to determine the direction and strength of the relationship between the two variables.

If the points tend to form a straight line sloping upwards to the right, the correlation is positive, indicating that the two variables are positively related (as one variable increases, so does the other). If the points tend to form a straight line sloping downwards to the right, the correlation is negative, indicating that the two variables are negatively related (as one variable increases, the other decreases).

The strength of the correlation is determined by how tightly the points are clustered around the line. If the points are tightly clustered around the line, the correlation is strong. If the points are scattered more widely, the correlation is weak.

Once you have determined the direction and strength of the relationship, you can estimate the correlation coefficient using a rough approximation. For example, if the correlation is positive and the points are tightly clustered around the line, the correlation coefficient is likely to be close to +1. If the correlation is negative and the points are widely scattered, the correlation coefficient is likely to be close to -1. If there is no clear relationship, the correlation coefficient is likely to be close to 0.

Therefore:

Graph 1 has an r-value of 0.88.

Graph 2 has an r-value of 0.43 because the points are moderately farther apart from each other and slopes upwards.

Graph 3's r-value would be -0.75 because the points are closer to each other and slopes downwards to the left.

Graph 4's r-value would be -0.1.

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Answer:

30

Step-by-step explanation:

to divide by a fraction, multiply by the reciprocal of it

the reciprocal of 1/6 is 6

5*6=30

Answer:

Step-by-step explanation:

40 or less for males 35 or less for females

The preceding statement suggests that simple interest equals $4.38

Simple annual interest of borrowing-related interest that is computed using only the initial principal and a constant interest rate. Compounding, in which borrowers wind up paying tax on principle plus interest that increases over a few of payment periods, is not a part of it. The original is multiplied by time, rate of return, and time period to determine simple interest.

Due to it,

P = $39

R = 0.0625%

T = 180 days

Now, Simple Interest = P*R*T/100

Simple Interest = 39 * 0.0625 * 180/100

Simple Interest = 2.92

Therefore, Simple Interest is $4.38

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The common size value for licensed content is 0.0848.

To calculate the common size value for licensed content, first, we need to find the total revenue of the company. We can get this information from the company's financial statements.

Let's assume the total revenue of the company is $100,000.

Next, we need to find the amount of money spent on licensed content. Let's assume that the amount spent on licensed content is $8,500.

Now, to calculate the common size value for licensed content, we need to divide the amount spent on licensed content by the total revenue, and multiply the result by 100.

So, the common size value for licensed content is:

Common size value = (8,500/100,000) x 100 = 0.0848

Therefore, the common size value for licensed content is 0.0848 (rounded to 4 decimals).

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The factored form of the equation  P(x) = x³ + 3x² + x + 3  is P(x) = (x+1)(x² + 2x + 3).

An equation is a mathematical expression that shows that two things are equal.

One common method for finding the factored form of a polynomial equation is to use the Rational Root Theorem, which states that if a rational number a/b is a root of the polynomial equation, then (x-a/b) is a factor of the polynomial equation.

We can then use long division to divide the polynomial by the linear factor, repeat the process with the remaining polynomial, and continue this process until the polynomial is fully factored.

The polynomial equation

=> P(x) = x³ + 3x² + x + 3

can be factored as

=> (x+1)(x² + 2x + 3).

The equation P(x) = (x+1)(x² + 2x + 3) is now written as a product of two linear factors, (x + 1) and (x² + 2x + 3).

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They need to sell 18 pieces to cover their expenditures (have a profit of zero).

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

How many cakes will they have sold?

We know that the costs are:

$36 for the booth at the fair.

$6 for each piece of cake they sell.

And the revenue is:

$8 for each piece of cake.

So, the profit (the difference between the revenue and the cost) for selling x pieces is:

p(x) = $8*x - $6*x - $36

p(x) = $2*x - $36

We want to find the value of x such that p(x) = 0, then:

0 =  $2*x - $36

x = $36/$2

  = 18

They need to sell 18 pieces to cover their expenditures (have a profit of zero).

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One possible equation that represents the function is:

y = 2x, which can also be written as y = 2 * x.

Here's how the function values correspond to the equation:

When x = 1, y = 2 * 1 = 2

When x = 2, y = 2 * 2 = 4

When x = 3, y = 2 * 3 = 6

When x = 5, y = 2 * 5 = 10

And so on.

Note that there are other equations that could also represent the same function, but y = 2x is one possible option.

Answer:

is there a picture I can see

The new diagram with a scale factor of 1 unit = 2cm will look the same

as each new grid now represents 2 cm.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A drawing represented by a scale factor of 1 unit = 6cm,

Where every grid unit represents 6 cm.

The new drawing model will look exactly the same as now each grid unit represents 2cm feet.

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Answer:

65

Step-by-step explanation:

cuz I said so

Answer:

Step-by-step explanation:

You want the cost of a notebook and a thumb drive when 5 notebooks and 15 thumb drives costs $395, while 12 notebooks and 8 thumb drives cost $248.

The two purchases can be described by the equations ...

Subtracting the second equation from 3 times the first, we have ...

  3(n +3d) -(3n +2d) = 3(79) -(62)

  7d = 175

  d = 25 . . . . . . . divide by 7

Substituting into the first equation gives ...

  n +3(25) =79

  n = 4 . . . . . . . subtract 75

The cost of each notebook is $4; the cost of each thumb drive is $25.

__

Additional comment

It is often easier to solve a system of equations when they are written in standard form. Here, we made the coefficients mutually prime by dividing each equation by the greatest common factor. For the first equation, we divided by 5; for the second equation, we divided by 4. This is especially useful if one of the coefficients ends up being 1.

The value of the angle x is 120 degrees

It is important to note the following;

From the information given in the diagram, we have that;

The variable x is laying on a straight line with one end of the triangle.

Also, angle 60 is alternate to the same angle on a straight line with x

So, we have that;

60 degrees + x degrees = 180 degrees

Solve mathematically as;

60 + x = 180

collect like terms

x = 180 - 60

Subtract the values

x = 120 degrees

Hence, the value is 120 degrees

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Journalizing the business transactions in the general journal form is as follows:

   Account Titles               Debit      Credit

1. Cash                            $40,000

Common Stock                            $40,000

2. Supplies                         $400

Accounts Payable                            $400

3. Equipment                 $8,000

Cash                                             $2,000

Note Payable                              $6,000

4. Accounts Receivable $4,000

Commission Revenue              $4,000

5. Rent Expense               $700

Cash                                            $700

6. Accounts Payable       $200

Cash                                          $200

7. Advertising Expense $600

Accounts Payable                   $600

8. Salaries and Wages $2,200

Cash                                     $2,200

The general journal is the initial accounting record of a business transaction.

In the general journal, transactions are recorded chronologically, according to the date they occur.

The general journal forms the basis for posting transactions to the general ledger.

1. Cash $40,000 Common Stock $40,000

2. Supplies $400 Accounts Payable $400

3. Equipment $8,000 Cash $2,000 Note Payable $6,000

4. Accounts Receivable $4,000 Commission Revenue $4,000

5. Rent Expense $700 Cash $700

6. Accounts Payable $200 Cash $200

7. Advertising Expense $600 Accounts Payable $600

8. Salaries and Wages $2,200 Cash $2,200

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Answer: The exponential function to model the value of the land over time t (in years) is given by:

V(t) = 6500 * e^(-0.016t)

So, to find the value of the land in 1999 (10 years after 1989), we can plug in t = 10 into the equation:

V(10) = 6500 * e^(-0.016 * 10) = 6500 * e^(-0.16) = 6500 * 0.8499 = 5524.935

Therefore, the approximate value of the land in 1999 was approximately $5524.935.