At what position on the number line is the red dot located?

To graph the points, plot each point on a coordinate plane with the x-coordinate on the horizontal axis and the y-coordinate on the vertical axis. See the attached graph.

To find the slope of each segment, use the formula:

slope = (change in y) / (change in x)

FG: slope = (2 - (-2)) / (-2 - (-4)) = 1

GH: slope = (3 - 2) / (4 - (-2)) = 1/2

HJ: slope = (-1 - 3) / (2 - 4) = -2

JF: slope = (-1 - (-2)) / (2 - (-4)) = 1/2

The sides FG and JF have the same slope of 1/2. The sides GH and HJ have opposite reciprocal slopes of 1/2 and -2, respectively.

None of the sides have the same length.

To find the perimeter of the polygon, add up the lengths of the sides:

FG: distance = √((2 - (-2))^2 + (-2 - (-4))^2) = 4.47

GH: distance = √((3 - 2)^2 + (4 - (-2))^2) = 6.08

HJ: distance = √((-1 - 3)^2 + (2 - 4)^2) = 4.47

JF: distance = √((-1 - (-2))^2 + (2 - (-4))^2) = 6.08

Perimeter = FG + GH + HJ + JF = 4.47 + 6.08 + 4.47 + 6.08 = 21.10

Therefore, the perimeter of the polygon is 21.10 units.

Learn more about slope at:

https://brainly.com/question/3605446

#SPJ1

Answer:

-1/5

Step-by-step explanation:

if you look at the table, you can see that for every 5 units of x, y goes down 1 unit. slope= rise/run so the slope is -1/5

Answer:

slope=-1/5

Step-by-step explanation:

Use slope formula to get 4-5/0-(-5) which is -1/5, so out slope is -1/5

Answer:\(98.13\ \text{or}\ 261.87^{\circ}\)

Step-by-step explanation:

Given

\(\cos \beta =-\dfrac{\sqrt{2}}{10}\)

As the value of cosine is negative, therefore the angle must lie in II or III quadrant

\(\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}\)

Answer:

x=14

Step-by-step explanation:

1.) Add 11 to both sides

2.) divide both sides by 3

Answer:

8 feet

9 - 6 + 5= 8 feet

The opposite sides are parallel to each other because the opposite sides have the same slope value.

When two sides or lines are parallel to each other, the value of their slope would be the same.

Slope of WZ = rise/run = -1/3

Slope of XY = rise/run = -1/3

Slope of XW = rise/run = 3/2

Slope of XW = rise/run = 3/2

Therefore, since the slopes of the opposite sides, then they are parallel to each other.

Learn more about the equation of a line on:

https://brainly.com/question/24907633

#SPJ1

The probability that their hospital stay is greater than 6 days is approximately 0.6985.

(a) To find the probability that their hospital stay is from 5 to 6 days, we need to calculate the z-scores for both values using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.
For 5 days: z = (5 - 7.37) / 2.60 = -0.9
For 6 days: z = (6 - 7.37) / 2.60 = -0.52

Next, we need to find the corresponding probabilities using a z-table or a calculator. From the z-table, we find that the probability of z being less than -0.9 is 0.1841, and the probability of z being less than -0.52 is 0.3015.

To find the probability of the hospital stay being between 5 and 6 days, we subtract the probability of z being less than -0.9 from the probability of z being less than -0.52:
P(5 ≤ X ≤ 6) = P(X ≤ 6) - P(X ≤ 5)

= 0.3015 - 0.1841

= 0.1174
Therefore, the probability that their hospital stay is from 5 to 6 days is approximately 0.1174.

(b) To find the probability that their hospital stay is greater than 6 days, we need to find the probability of z being greater than -0.52.

From the z-table, we find that the probability of z being less than -0.52 is 0.3015.

Therefore, the probability that their hospital stay is greater than 6 days is approximately

1 - 0.3015 = 0.6985,

rounded to five decimal places.

To know more about probability, visit:

https://brainly.com/question/31828911

#SPJ11

The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

Learn more about square roots at:

https://brainly.com/question/428672

#SPJ1

Answer:

Step-by-step explanation:

what divided by 13 is 4​

4 * 13 = 52

----------------------------

check

52 : 13 = 4

the answer is good

Answer:

52

Step-by-step explanation:

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

More can be learned about scale measurements at https://brainly.com/question/29229124

#SPJ1

Answer:

Los números son:

43 y 165

Step-by-step explanation:

Planteamiento:

a + b = 208

a - b = 122

Desarrollo:

de la segunda ecuación del planteamiento:

a = 122 + b

sustituyendo este último valor en la primer ecuación del planteamiento:

(122+b) + b = 208

2b = 208 - 122

2b = 86

b = 86/2

b = 43

a = 122 + b

a = 122 + 43

a = 165

Comprobación:

165 + 43 = 208

165 - 43 = 122

To determine if a polynomial graph is positive or negative, you need to look at the sign of the leading coefficient of the polynomial. If the leading coefficient is positive, the graph will be positive.

If the leading coefficient is negative, the graph will be negative. This is because the highest degree of the polynomial will determine the sign of the graph as the graph will either be increasing (positive) or decreasing (negative). To determine the leading coefficient, look at the polynomial expression and identify the term with the highest degree. The sign of this term will be the sign of the graph. For example, if the highest degree is 3, then the term would be ax^3, and the graph will be positive if a is positive, and negative if a is negative.

To know more about polynomials refer to the link  brainly.com/question/20121808

#SPJ4

Answer: 564

Step-by-step explanation:

Answer:

The output would be 564

Step-by-step explanation:

If the input is 12, then the output would be 12 * 47 which is 564.

Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

To learn more about statistical click here

brainly.com/question/33214409

#SPJ11

Based on a one-sample t-test with a sample mean of 411 grams, a sample standard deviation of 25 grams, and a significance level of 0.0125 (adjusted for a one-tailed test), there is sufficient evidence to conclude that the bags are overfilled. The test statistic and resulting p-value will determine the level of significance and strength of the evidence.

The null and alternative hypotheses can be stated as follows:

Null Hypothesis (H0): The mean weight of the bags filled by the machine is equal to 402 grams.

Alternative Hypothesis (Ha): The mean weight of the bags filled by the machine is greater than 402 grams.

In this scenario, we are testing whether the bags are overfilled, which means we are interested in determining if the mean weight is greater than the specified setting of 402 grams.

To assess the evidence, we will perform a one-sample t-test since we have a sample mean, sample standard deviation, and the assumption of approximately normal population distribution.

The significance level is given as 0.025, which indicates a two-tailed test. Since the alternative hypothesis is one-tailed (greater than), we need to adjust the significance level to account for this.

Therefore, the new significance level for the one-tailed test is 0.025 divided by 2, which equals 0.0125.

In the subsequent steps, we will calculate the test statistic, degrees of freedom, and compare the p-value against the adjusted significance level to make a conclusion about whether there is sufficient evidence to support the claim that the bags are overfilled.

To know more about significance level refer here:

https://brainly.com/question/31519103#

#SPJ11

The estimated federal income tax withholding using the percentage method for the given scenario would be $1,940 + $1,680 = $3,620.

To calculate the federal income tax withholding using the percentage method, we need the specific tax rates and brackets for the given income level. The tax rates and brackets may vary depending on the tax year and filing status.

Since you mentioned using the pre-2020 Form W-4, I will assume you are referring to the 2019 tax year. In that case, I can provide an estimate based on the tax rates and brackets for that year.

For a married employee filing jointly in 2019, the federal income tax rates and brackets are as follows:

- 10% on taxable income up to $19,400

- 12% on taxable income between $19,401 and $78,950

- 22% on taxable income between $78,951 and $168,400

- 24% on taxable income between $168,401 and $321,450

- 32% on taxable income between $321,451 and $408,200

- 35% on taxable income between $408,201 and $612,350

- 37% on taxable income over $612,350

To calculate the federal income tax withholding, we need to determine the taxable income based on the employee's earnings and filing status. Assuming no other deductions or adjustments, the taxable income can be calculated as follows:

Taxable Income = Earnings - Standard Deduction - (Withholding Allowances * Withholding Allowance Value)

For the 2019 tax year, the standard deduction for a married couple filing jointly is $24,400, and the value of one withholding allowance is $4,200.

Using the given information of earning $62,000 and claiming 1 federal withholding allowance, we can calculate the taxable income:

Taxable Income = $62,000 - $24,400 - (1 * $4,200) = $33,400

Now we can apply the tax rates to determine the federal income tax withholding:

10% on the first $19,400 = $19,400 * 10% = $1,940

12% on the remaining $14,000 ($33,400 - $19,400) = $14,000 * 12% = $1,680

Therefore, the estimated federal income tax withholding using the percentage method for the given scenario would be $1,940 + $1,680 = $3,620.

To learn more about federal income tax here:

https://brainly.com/question/30200430

#SPJ4

Answer:

25 once a the steps are complete

the predicates R(x) and H(x) along with quantifiers and logical connectives, we can represent the given statements as ∀x(R(x) → H(x)) and ∃x(R(x) ∧ ¬H(x)).

(a) Using the predicates R(x) and H(x) to represent "x is a rabbit" and "x hops" respectively, the English sentence "For every animal in the domain, if it is a rabbit, it hops" can be expressed in terms of quantifiers and logical connectives as:

∀x(R(x) → H(x))

This translates to "For all x in the domain, if x is a rabbit, then x hops."

(b) Similarly, the English sentence "There is at least one animal such that it is a rabbit and it doesn't hop" can be expressed in terms of quantifiers and logical connectives as:

∃x(R(x) ∧ ¬H(x))

This translates to "There exists an x in the domain such that x is a rabbit and it does not hop."

In summary, using the predicates R(x) and H(x) along with quantifiers and logical connectives, we can represent the given statements as ∀x(R(x) → H(x)) and ∃x(R(x) ∧ ¬H(x)).

Learn more about domain here:

ttps://brainly.com/question/28135761

#SPJ11

Answer:

1/12

Step-by-step explanation:

The probability of rolling a two is

P(2) = number of twos/ total

        =1/6

The probability of landing on tails

P(tails) = tails/total

             =1/2

P(2, tails) = P(2)  *  P(tails)  since they are independent events

               = 1/6 * 1/2

                 =1/12

Answer:

See below.

Step-by-step explanation:

28x^2yz and 16xy^2

GCF of 28 and 16: 4

GCF of x^2yz and xy^2: xy

The GCF is 4xy.

5x^2y^4, 10x^3y^5, and 15xy^2

GCF of 5, 10, and 15: 5

GCF of x^2y^4, x^3y^5, and xy^2: xy^2

The GCF is 5xy^2.

-hope it helps

Hi! Hope you're enjoying your day!

First of all, the G.C.F. stands for

Greatest Common Factor

So we need to find the Greatest Common Factor of the polynomials.

And yea, polynomials have Greatest Common Factors as well.

So, let's find all the Greatest Common Factors. :)

First, we have

\(\bold{28x^2yz}\) and \(\bold{16xy^2}\)

What are the common factors of these polynomials?

Well, there are plenty of them, like 2, 2x, y...

What is the Greatest Common factor?

Is it Option A, 12xy?

No, because neither 28 nor 16 is divisible by 12.

So we cross out Option A.

Is it Option B, 8xy?

No, because 28 isn't divisible by 8, and remember, if a number is evenly divisible by another number, then that number is a factor.

Example: 8 is a factor of 16 (16÷8=2); 8 is not a factor of 28, because

28÷8=3.5 (a decimal, not a whole number)

Is it Option C, 4xy?

Yeah, it seems like Option C is the right option.

\(\huge\checkmark\)Both 28 and 16 are divisible by 4

\(\huge\checkmark\)Both polynomials have an x and a y in them

\(\rule{250}{2}\)

Find the GCF:

\(\bold{5x^2y^4,\:10x^3y^5, \:and\:15xy^2}\)

Once again, is it Option A, 5x^3y^5?

No, because

✘ 5 and 10 aren't divisible by 3

✘ None of the 3 polynomials has a 3y term

In other words, Option A is wrong.

How about Option B?

You should see right off the bat that 5 and 15 aren't divisible by 10.

So now we have 2 options left.

Is it Option C, 5xy²?

Well,

✓All 3 polynomials are divisible by 5

✓ All 3 polynomials have a y² term

✓ All 3 polynomials have an x term.

Hence, the answers are

\(\boxed{\boxed{\bold{1. \;Option\;C; 2.\;Option\;C.}}}\)

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

\(\rule{200}{2}\)

Answer:

The volume of the figure is 720 cm^3

Step-by-step explanation:

Here, we want to find the volume of the figure

mathematically, we can have this as the product of the base of the figure and it’s height

the base is a rectangle and the area is the product of the side lengths

Mathematically, we have this as;

9 * 20 = 180 cm^2

So the volume here can be obtained by simply multiplying by the height of the shape

we have this as;

180 cm^2 * 4 cm = 720 cm^3

The post image coordinates are - A'(12,3), B'(10, -5) and C'(7,0)

Here, we are given 3 points A (-6, 15), B (-8,7) and C (-11, 12)

We are given the following translation rule- (x + 18) and (y - 12)

Let us take each point one by one-

A (-6, 15)

here x = -6

⇒ x + 18 = -6 + 18 = 12

and y = 15

⇒ y - 12 = 15 - 12 = 3

Thus the post image of A is (12, 3)

B (-8,7)

here x = -8

⇒ x + 18 = -8 + 18 = 10

and y = 7

⇒ y - 12 = 7 - 12 = -5

Thus the post image of B is (10, -5)

C (-11, 12)

here x = -11

⇒ x + 18 = -11 + 18 = 7

and y = 12

⇒ y - 12 = 12 - 12 = 0

Thus the post image of C is (7, 0)

Learn more about graphical transformations here-

https://brainly.com/question/4025726

#SPJ9

Answer:

0.25 lb

Step-by-step explanation:

We know

Puzzle book = 3/5 lb = 0.6 lb

Comic book = 0.35 lb

0.6 - 0.35 = 0.25 lb

So, the puzzle book weighs 0.25 lb more than the comic book.

Answer:

Multiply each as in like 120 multiply by 1.2. If 60 multiply by 0.6.

Step-by-step explanation: