Help I need the answer dont send NO FILE only answer if you know it step by step explanation

Answer:

The equation of the parallel line is y = 5x + 11

Step-by-step explanation:

→ Parallel lines have same slopes and different y-intercepts

→ The slope-intercept form of the linear equation is y = m x + b, where

In our question

∵ The equation of the given line is y = 5x + 2

→ Compare it with the form above to find its slope

∴ m = 5

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line is 5

→ Substitute it in the form of the equation above

∴ y = 5x + b

→ To find the value of b substitute x and y in the equation by the

   coordinates of any point on the line

∵ The line passes through point (-2, 1)

∴ x = -2 and y = 1

∵ 1 = 5(-2) + b

∴ 1 = -10 + b

→ Add 10 to both sides

∴ 1 + 10 = -10 + 10 + b

∴ 11 = b

→ Substitute value of b in the equation

∴ y = 5x + 11

∴ The equation of the parallel line is y = 5x + 11

a. The probability that no boats arrive in a 2-hour period is approximately 0.0003.

b. The probability that 1 boat arrives in a 2-hour period is approximately 0.0023.

c. The probability that 2 boats arrive in a 2-hour period is approximately 0.0466.

d. The probability that 2 or more boats arrive in a 2-hour period is approximately 0.9511.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

Given that boats arrive at the inlet drawbridge according to a Poisson distribution with a rate of 4 per hour, we can use the Poisson probability formula to calculate the probabilities.

The Poisson probability mass function is given by:

P(x; λ) = \((e^{(-\lambda)} * \lambda^x) / x!\)

where x is the number of events, λ is the average rate of events.

(a) To find the probability that no boats arrive in a 2-hour period, we can calculate P(0; λ), where λ is the average rate of events in a 2-hour period. Since the rate is 4 boats per hour, the average rate in a 2-hour period is λ = 4 * 2 = 8.

P(0; 8) = \((e^{(-8)} * 8^0) / 0! = 8e^{(-8)}\) ≈ 0.0003

The probability that no boats arrive in a 2-hour period is approximately 0.0003.

(b) To find the probability that 1 boat arrives in a 2-hour period, we can calculate P(1; λ), where λ is the average rate of events in a 2-hour period (λ = 8).

P(1; 8) = \((e^{(-8)} * 8^1) / 1! = 8e^{(-8)}\) ≈ 0.0023

The probability that 1 boat arrives in a 2-hour period is approximately 0.0023.

(c) To find the probability that 2 boats arrive in a 2-hour period, we can calculate P(2; λ), where λ is the average rate of events in a 2-hour period (λ = 8).

P(2; 8) = \((e^{(-8)} * 8^2) / 2! = (64/2) * e^{(-8)}\) ≈ 0.0466

The probability that 2 boats arrive in a 2-hour period is approximately 0.0466.

(d) To find the probability that 2 or more boats arrive in a 2-hour period, we need to calculate the complement of the probability that 0 or 1 boat arrives.

P(2 or more; 8) = 1 - (P(0; 8) + P(1; 8))

P(2 or more; 8) \(= 1 - (e^(-8) + 8e^{(-8)})\) ≈ 0.9511

The probability that 2 or more boats arrive in a 2-hour period is approximately 0.9511.

Please note that the above probabilities are calculated based on the assumption of a Poisson distribution with a rate of 4 boats per hour.

Learn more about probability on

https://brainly.com/question/13604758

#SPJ4

The yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

Yield to maturity (YTM) is the total return anticipated on a bond or other fixed-interest security if the security is held until it matures. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In this problem, the present value (PV) of the simple loan is $1,500, the future value (FV) is $7,500, the time to maturity is five years, and the interest rate is the yield to maturity (YTM).

Now we will calculate the yield to maturity (YTM) using the formula for the future value of a lump sum:

FV = PV(1 + YTM)n,

where,

FV is the future value,

PV is the present value,

YTM is the yield to maturity, and

n is the number of periods.

Plugging in the given values, we get:

$7,500 = $1,500(1 + YTM)5

Simplifying this equation, we get:

5 = (1 + YTM)5/1,500

Multiplying both sides by 1,500 and taking the fifth root, we get:

1 + YTM = (5/1,500)1/5

Adding -1 to both sides, we get:

YTM = (5/1,500)1/5 - 1

Calculating this value, we get:

YTM = 0.3714 or 37.14%

Therefore, the yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

To know more about loan refer here:

https://brainly.com/question/31950305

#SPJ11

Answer:

Step-by-step explanation:

To use the regression function on your calculator, first hit STAT then choose 1:Edit by pressing ENTER. Then a table pops up. If it's not clear, arrow up to L1, hit CLEAR then ENTER and the table empties. Do the same with L2. Arrow left and right as needed to get from one column to the other. Then in L1 enter the x values one at a time, hitting ENTER after each. When all the x values are in, arrow over to L2 and enter the y values in the same way.

Next, hit STAT again, then right arrow over to CALC. Choose 6:CubicReg by either arrowing down to it or by pressing 6. If you have a TI 83+, the equation comes right up for you; if you have a TI 84+ or 84+CE, you have to arrow down to CALCULATE and hit ENTER to get your equation. The equation is

\(-2x^3+2x^2-4x+3\) with a coefficient correlation (r-squared) value of 1 which means this is a perfect equation for this data and all the points you entered into the table fall perfectly on this curve.

When dealing with random walk data, Holt's method is preferred due to its ability to capture short-term fluctuations and changing trends without assuming a specific pattern.

A random walk is a time series where the future values are dependent on the previous values and exhibit a random or unpredictable behavior. In such cases, using methods like Moving Average, Holt-Winters, or Logistic Regression may not yield accurate results because they assume certain patterns or trends in the data.

Holt's method, also known as exponential smoothing, is particularly suitable for handling random walk data. It is a forecasting technique that takes into account both the level and the trend of the time series. This method assigns exponentially decreasing weights to past observations, giving more weight to recent data points. By incorporating a level and trend component, Holt's method can capture the short-term fluctuations and gradual changes in the data without assuming a specific pattern.

Unlike Moving Average or Holt-Winters, Holt's method does not rely on a fixed window of past observations, which can be limiting for random walk data. Instead, it adapts dynamically to the changing characteristics of the time series.

Learn more about Logistic Regression here:

https://brainly.com/question/32687117

#SPJ11

The ideal way to organize electronically the raw data for a study is to create a structured database or spreadsheet that can easily and efficiently store, sort, and analyze the data.

This will allow for easy retrieval and manipulation of the data, as well as the ability to perform statistical analysis and generate reports. It is important to ensure that the data is accurately recorded and labeled to prevent errors and ensure consistency. Additionally, proper data security measures should be in place to protect the confidentiality and integrity of the data.

To know more about data :

https://brainly.com/question/13650923

#SPJ11

The ideal way to organize electronically the raw data for a study is to use a standardized format, such as a spreadsheet or database, with clear and consistent labeling for each variable.

It is important to ensure that the data is accurate, complete, and easily accessible, and to maintain appropriate security and privacy measures to protect the confidentiality of study participants. Additionally, it is recommended to create a data management plan outlining the procedures for data collection, storage, and sharing throughout the study. This plan should be reviewed and updated regularly to ensure that it remains effective and compliant with relevant regulations and ethical standards. The ideal way to organize electronically the raw data for a study is to use a structured and systematic approach, such as creating a well-designed database or spreadsheet. This allows for efficient data management, easy access, and accurate analysis.

To know more about data,

https://brainly.com/question/31620115

#SPJ11

Answer:

x = 9

Step-by-step explanation:

diagonals bisect each other so we can set up these equations:

x+8 = 2y+5

2x = 3y

in the top equation we can solve for 'x': x = 2y-3

in the second equation we can solve for 'x': x = 3y/2

2y-3 = 3y/2

multiply each side by 2 to eliminate fractions:

4y - 6 = 3y

4y = 3y + 6

y = 6

2x = 3(6)

2x = 18

x = 9

Answer:   B) 6

Explanation:

Segment BA is half as long as ZY, since BA is a midsegment.

This means ZY is twice as long as BA

ZY = 2*BA

2*BA = ZY

2*(x-1) = 10

2x-2 = 10

2x = 10+2

2x = 12

x = 12/2

x = 6

Note how this leads to BA = x-1 = 6-1 = 5, which is half as long as ZY = 10.

The daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Pete is making decorations for a dinner party. The instructions tell him to use 9 flowers for a medium-sized decoration which has 2 lilies, 1 rose, 3 carnations, 2 daffodils and 1 iris.

The ratio of daffodils to total flower is,

n=2/9.

To make a large decoration, Pete uses 36 flowers. Let suppose the daffodils flower he needs for this is x. Thus,

x=36*(2/9)

x=4*2

x=8

The rose flower is increased from 1 to 2. Thus, the total number of flower also be twice for decoration.

Flower=2*9

Flower=18

Now Pete uses 10 lilies instead of 2 which is 5 times the medium-sized decoration. Thus, the carnations to be needed is,

Carnations=3*5

Carnations=15

Hence, the daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

#SPJ1

Answer:

Step-by-step explanation:

the first one is the right one

Control limits are based on multiples of the sample statistic's standard deviation, hence the assertion is false that "control limits are based on multiples of the process standard deviation".

A control chart is made up of many different parts. There are two control limitations. The top dashed line represents the upper control limit (UCL), and the bottom dashed line represents the lower control limit (LCL).The solid middle line denotes the statistic's average for the plot.

The horizontal lines known as control limits in a control chart show the upper and lower limits of the acceptable range of results for a process. When plotted data goes over a control limit, a process is out of control and requires management action. The control limits are defined as three standard deviations on either side of the mean.

Visit here to learn more about Standard deviation: https://brainly.com/question/23907081

#SPJ4

Answer:

108

Step-by-step explanation:

150x0.72=108

Step-by-step explanation:

72% of 150

=> (72/100)×150

=> 10800/100 [ Because, 72×150=10800 ]

=> 108

Thus, 72% of 150 is 108.

Hope this helps you.

Answer:

\(62 in^2\)

Step-by-step explanation:

\(===========================================\)

Formulas:

Area of a rectangle/square:

\(A=lw\)

\(===========================================\)

Big Rectangles (2):

7*3=21

Multiply by 2

21*2= 42 in

Long rectangles (2)

7*1=7

Multiply by 2

7*2= 14 in

Short rectangles (2):

3*1=3

Multiply by 2

3*2= 6 in

Total:

Add.

42+14+6= 62 in2

For this case, your interest rate will be (. 11 x 100 = 11) 11%. Step 3: Apart from this, you can also calculate your time period involved, principal amount and interest amount paid in a specific time period if you have other inputs available with you. Calculate interest amount paid in a specific time period, I = Prt

Answer:

918.50 in interest over 11 years.

Step-by-step explanation:

Comment

You have to make an assumption here. The assumption is that this is simple interest.

So if the brother pays 10% each year, he is paying

10/100 * 835 each year in interest

10/100 * 835 = 83.50 every year.

There are 11 years, so the total interest paid is 11 * 83.50 = 918.50 dollars in total.. That's more than what he borrowed!

Answer:

Check the attached screenshot! :)

Step-by-step explanation:

Check the attached screenshot! Let me know if you have any questions! :)

Answer:

1 - 3 -2 -4

Step-by-step explanation:

expand them all

.000000092

.058

.0544

2400            so you can see the least to greatest is   1 3 2 4

Even if we earned less than the standard deduction, we nonetheless file taxes since, regardless of their income, freelancers are always required to pay tax on their earnings.

Freelancer, freelancer, or freelance worker are phrases frequently used to describe someone who is self-employed and isn't necessarily long-term dedicated to a certain employer.

Others work independently or use websites or professional associations to find work.

Freelancers are occasionally represented by a business or a temporary agency that resells their services to clients.

Independent contractors must always pay taxes on their wages, regardless of how much they make.

The term "freelancing" is most frequently used in the culture and creative industries, and use of this term may indicate participation in these sectors, even though the term "independent contractor" would be used in a different register of English to designate the tax and employment classes of this type of worker.

Therefore, even if we earned less than the standard deduction, we nonetheless file taxes since, regardless of their income, freelancers are always required to pay tax on their earnings.

Know more about freelancers here:

https://brainly.com/question/29063405

#SPJ4

The lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches.

To find the total length of the two boards, you need to add their individual lengths together.

Step 1: Identify the length of each board. The first board is 234 inches long, and the second board is 246 inches long.

Step 2: Add the lengths of the boards together.

234 (length of first board) + 246 (length of second board) = 480

So, the total length of the two boards on the shelf is 480 inches. This means that if you were to place the two boards end-to-end, they would cover a distance of 480 inches.

In summary, by identifying the lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches. This calculation helps us understand the total amount of space the boards would occupy if placed side by side.

For more about lengths:

https://brainly.com/question/30100801

#SPJ11

Answer:

AAS

Step-by-step explanation:

I'm pretty sure its this, but im sorry if im wrong!

CONCEPTO

Una ecuación es una igualdad matemática entre dos expresiones, denominadas miembros y separadas por el signo igual, en las que aparecen elementos conocidos y datos desconocidos o incógnitas, relacionados mediante operaciones matemáticas

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

Read more about solving systems equations here:

brainly.com/question/12691830

#SPJ1

Answer:

176

Step-by-step explanation:

Multiply −22by −8.

Answer: +176

Explanation: To multiply (-22)(-8), remember that

a negative times a negative is a positive.

So (-22)(-8) is +176.

Answer:

A.)

Rise = 2

Run = 5

m = 2/5

B.)

Rise = 2

Run = - 4

m = - 1/2

C.)

Rise = 3

Run = 1

m = 3

Step-by-step explanation:

Rise = y2 - y1

Run = x2 - x1

Slope, m = Rise / Run

A.) (0,0) ; (5 2)

x1 = 0 ; y1 = 0

x2 = 5 ; y2 = 2

Rise = 2 - 0 = 2

Run = 5 - 0 = 5

m = 2/5

B.) (1, 2) ; (-3, 4)

x1 = 1 ; y1 = 2

x2 = - 3 ; y2 = 4

Rise = 4 - 2 = 2

Run = - 3 - 1 = - 4

m = 2/-4 = - 1/2

C.) (5,2) ; (6,5)

x1 = 5 ; y1 = 2

x2 = 6 ; y2 = 5

Rise = 5 - 2 = 3

Run = 6 - 5 = 1

m = 3/1 = 3

Answer:

b = 8.485

c = 23.995 ≈ 24

Step-by-step explanation:
Part b:

\(\sqrt{(10-4)^2+(9-3)^2}\)

√(36 + 36)

= 8.485

Part c:

Base = \(\sqrt{(6-2)^2+(1-5)^2}\)

Base = 5.656

Area = Base x Height x 0.5

Area = 5.656 x 8.485 x 0.5

Area = 23.995 ≈ 24

Answer: The answer is 700

Step-by-step explanation:

I hope is right?

Answer:

1. 20(-1) - (-4) (-5)= -40

2.[-12 + (-3 - 3)]= -18

Step-by-step explanation:

20(-1) - (-4) (-5)

=(20 * -1) - (-4 * -5)    

(When 2 numbers are written next to each other in   brackets without any sign in between them, it means multiplication)

=(-20) - (20)

= -20 -20

= -40

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

[-12 + (-3 - 3)]

=[-12+(-6)]

=[-12-6]

= -18

If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

Learn more about line segments at: https://brainly.com/question/17374569

#SPJ1

By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

Learn more about synthetic division

brainly.com/question/28824872

#SPJ11