i need help!!
5=x+29
Solving One-Step

Answers

Answer 1

Step-by-step explanation:

5=x+29

collect like terms

x=29-5

x=24

the answer is 24

hope this helps

Answer 2

Answer:

-24 is your ans.

Step-by-step explanation:

5=x+29

5-29=x

x= -24


Related Questions

Elijah's scout troop took a field trip to the local fire station. They learned that Benjamin Franklin established the first volunteer fire company in 1736! At the end of the trip, the scouts spun a spinner to determine what color fire helmet each got to take home. Here are the spinner results of the scouts who spun before Elijah: red, yellow, blue, yellow, green, yellow, red, blue, green, red, yellow, blue, yellow, green Based on the data, what is the probability of the spinner landing on red during Elijah's turn? Write your answer as a fraction or whole number.

Answers

The Probability of landing red during Elijah's turn is 0.20  

Probability:

The probability of an event can be found by dividing the number of ways an event can occur by the total number of possible outcomes.

It is a measure of the likelihood that a specific event will occur, expressed as a number between 0 and 1.

Here we have

The spinner results are: red, yellow, blue, yellow, green, yellow, red, blue, green, red, yellow, blue, yellow, green

Total number of outcomes = 14

Number of outcomes getting red outcomes = 3

Hence,

the Probability of landing red during Elijah's turn

= 3/14 = 0.20

Therefore,

The Probability of landing red during Elijah's turn is 0.20

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Which 3 prime numbers multiply to make 455?

Answers

Ans: the Prime Factors of 455 are: 5, 7, 13.

Can ACosx + BSinx be written as a single Sine and/or Cosine function?

Answers

The expression Acos(x) + Bsin(x) can be written as a single sine or cosine function using the identity sin(x + y) = sin(x)cos(y) + cos(x)sin(y) and cos(x + y) = cos(x)cos(y) - sin(x)sin(y). Let's see how to express A cos(x) + B sin (x) as a single cosine or sine function:

The expression A cos(x) + B sin(x) can be written as a single sine or cosine function using the identity sin(x + y) = sin(x)cos(y) + cos(x)sin(y) and cos(x + y) = cos(x)cos(y) - sin(x)sin(y). Let's see how to express A cos(x) + B sin(x) as a single cosine or sine function:

Let C be the hypotenuse of a right triangle whose legs are A cos(x) and B sin(x). Then we have cos(theta) = Acos(x) / C and sin(theta) = Bsin(x) / C, where theta is an angle between the hypotenuse and A cos(x). Therefore, we can write Acos(x) + Bsin(x) as C(cos(θ)cos(x) + sin(θ)sin(x)) = C cos(x - θ)This is a single cosine function with amplitude C and period 2Π.

Alternatively, we could write A cos(x) + B sin(x) as C(sin(θ)cos(x) + cos(θ)sin(x)) = Csin(x + θ)This is a single sine function with amplitude C and period 2Π.

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Substitute (= 3 and 1-6 to determine if the two expressions are equivalent.
3(24+5)
66+ 15
Which statements are true? Select the three correct answers.
The value of both expressions when {- 3 is 33
The value of both expressions when {-3 is 23
The value of both expressions when {-6 is 41.
The value of both expressions when {-6 is 51.
The two expressions are equivalent.
The two expressions are not equivalent.

Substitute (= 3 and 1-6 to determine if the two expressions are equivalent.3(24+5)66+ 15Which statements

Answers

Answer:a b d

Step-by-step explanation:

Let U be the set of all integers from 1 to 20. Let A = {1, 3, 6, 9, 12, 15, 18} and B = {2, 9, 11,
20). Which choice describes the set {4, 5, 7, 8, 10, 13, 14, 16, 17, 19)?

Answers

Answer:

the answer is A prime that is a set containing all the numbers in the universal set that can't be found in A

it is like removing A from the universal set

The resulting sets are not found in the set  {4, 5, 7, 8, 10, 13, 14, 16, 17, 19), therefore the choice that describes the set of numbers is (A U B)'

Set theory

Sets is a collection of numbers of elements

Given the following sets

A = {1, 3, 6, 9, 12, 15, 18} and

B = {2, 9, 11, 20).

U = {integers from1 to20}

From the given sets:

A U B ={1,2,3, 6, 9, 11, 12,25, 18, 20}

The resulting sets are not found in the set  {4, 5, 7, 8, 10, 13, 14, 16, 17, 19), therefore the choice that describes the set of numbers is (A U B)'

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**BRAINLIEST IF ANSWERED***

A regular hexagon is shown. What is the measure of half the side length, b, rounded to the nearest whole inch? Use the appropriate trigonometric ratio to solve. *
6 in

24 in

14 in

7 in

**BRAINLIEST IF ANSWERED*** A regular hexagon is shown. What is the measure of half the side length,

Answers

Answer:

(D)7 in.

Step-by-step explanation:

A regular hexagon can be divided into six equilateral triangles.

Therefore:

\(b=\dfrac{c}{2}\)

Applying Pythagoras Theorem

\(c^2=12^2+b^2\\c^2=12^2+(\frac{c}{2})^2\\c^2-(\frac{c}{2})^2=12^2\\c^2-\dfrac{c^2}{4}=144\\\dfrac{4c^2-c^2}{4}=144\\\dfrac{3c^2}{4}=144\\$Cross multiply\\3c^2=144 \times 4\\3c^2=576\\$Divide both sides by 3\\c^2=192\\$Therefore:\\c=\sqrt{192}\\c=8\sqrt{3}$ in.\)

Recall that b=c/2

Therefore:

\(b=4\sqrt{3} \approx 7$ in.\)

The value of b is 7 inches.

A line with a slope of
4/7 passes through the points (h,10) and (–4,6). What is the value of h?

Answers

Answer:

h = 3

Step-by-step explanation:

y-6 = 4/7 (x-(-4)

y - 6 = 4/7 (x+4)

y - 6 = 4/7 x + 16/7

y = 4/7 x + 16/7 + 6

y = 4/7 x + (16+42)/7

y = 4/7 x + 58/7


10 = 4/7 x + 58/7

4/7 x = 10 - 58/7

4/7 x = (70-58)/7

4/7 x = 12/7

7/4 * 4/7 x = 12/7 * 7/4

x = 3

50 points
Write the equation of the line in slope-intercept form (picture here)

50 points Write the equation of the line in slope-intercept form (picture here)

Answers

Answer:

\(f(x)=\frac{1}{2}x+-6\) or y=1/2x+-6

Step-by-step explanation:

You can use any two points on a line to find slope. For example, I used:

(x1, y1) 2, -5

(x2, y2) 4, -4

To find slope, the following formula is needed:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Input our values:

\(m=\frac{(-4)-(-5)}{4-2}\) which means m=1/2

b is equal to y-intercept which is -6

The equation is:

\(y=\frac{1}{2}x+-6\)

to get the equation of any straight line, we simply need two points off of it, let's use the points from the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-4)}}} \implies \cfrac{-4 +8}{4 +4} \implies \cfrac{ 4 }{ 8 }\implies \cfrac{1}{2}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \implies y +8= \cfrac{1}{2} (x +4) \\\\\\ y+8=\cfrac{1}{2}x+2\implies {\LARGE \begin{array}{llll} y=\cfrac{1}{2}x-6 \end{array}}\)

50 points Write the equation of the line in slope-intercept form (picture here)

Please help! I will give brainliest to person who answers correctly :) Which ordered pair is the solution to the system of equations? −5x−3y=12 y=x−12 (−6, 6) (0, −4) (1, −11) (3, −9)

Answers

Answer:

(3,-9)

Step-by-step explanation:

The given equations are :

−5x−3y=12 (1)

y=x−12 ....(2)

Put the value of y from equation (2) in equation (1)

−5x−3(x-12)=12

-5x-3x+36 = 12

Taking like terms together

-5x-3x = 12-36

-8x = -24

x = 3

Put the value of x in equation (2)

y=3−12

y = -9

Hence, the solution of the above equations is x = 3 and y = -9 or (3,-9).

The value of a certain investment over time is given in the table below. Answer the questions below to explain what kind of function would better model the data, linear or exponential. Number of Years Since Investment Made, x 1 2 3 4 Value of Investment ($), f(x) 16,890.32 14,259.09 12,001.57 10,051.16 function would better model the data because as x increases, the y values change . The of this function is approximately .

Answers

f(x) is an exponential function with an initial value of 33,966.17 and a decay rate of 0.310, which matches the trend of the data.

What is a scatter plot?

We can plot the data points and look for a pattern to see if an exponential or linear function better fits the provided data.

The provided data point can first be plotted as a scatter plot.

(1, 16890.32) (2, 14259.09) (3, 12001.57) (4, 10051.16)

To find the specific exponential function that would fit this data, we can use the formula for exponential decay:

f(x) = a * \(e^(-bx)\)

where f(x) is the value of the investment at time x, a is the initial value of the investment, and b is the decay rate.

Using the given data, we can plug in the values for f(x) and x to solve for a and b. Here is the calculation:

16,890.32 = a * \(e^(-b1)\)

14,259.09 = a * \(e^(-b2)\)

12,001.57 = a * \(e^(-b3)\)

10,051.16 = a * \(e^(-b4)\)

Dividing the second equation by the first, and the third equation by the second, and so on, we can get rid of the constant a:

14,259.09/16,890.32 = \(e^(-b)\)

12,001.57/14,259.09 = \(e^(-b)\)

10,051.16/12,001.57 = \(e^(-b)\)

Taking the natural logarithm of both sides, we get:

ln(14,259.09/16,890.32) = -b

ln(12,001.57/14,259.09) = -b

ln(10,051.16/12,001.57) = -b

Simplifying these equations, we get:

b ≈ 0.310

a ≈ 33,966.17

So the exponential function that best models this data is:

f(x) = 33,966.17 * \(e^(-0.310x)\)

This function has an initial value of 33,966.17 and a decay rate of 0.310, which matches the trend of the given data.

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Complete question:

The value of a certain investment over time is given in the table below. Answer the questions below to explain what kind of function would better model the data, linear or exponential.

Number of Years Since Investment Made,

x          1                  2               3              4

Value of Investment ($),

f(x)   16,890.32  14,259.09   12,001.57   10,051.16

the function would better model the data because as x increases, the y values change. The of this function is approximate.

Please help me with this math problem!! Will give brainliest!! :)

Please help me with this math problem!! Will give brainliest!! :)

Answers

Answer:

3

Step-by-step explanation:

We need to find g(f(2)). In order to do that, we have to first find f(2), and then take g of the answer. As we can see from the graph on the left, when x is 2, y is equal to 1 since (2,1) is on the graph. Therefore, f(2) is equal to 1.

Now, we have to find g(f(2)), which is g(1). As we can see from the graph on the right, the point (1,3) is on the graph. This means g(1) is equal to 3.

Therefore, our final answer is 3  

Answer:  is 3

Step-by-step explanation:

When we are computing a simple linear regression line, there are certain conditions that must be met for this model to be valid. One of these conditions is the equal spread condition. Which of these answers best explains how we check to make sure that this condition is met? a. Make sure there is similar spread around the sample mean of x. b. Make sure there is similar spread around the line at each value of x.
c. Make sure that there is similar spread around the sample mean of y. d. Make sure all outliers are only below the line.

Answers

The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

How we check to make sure that this condition is met?

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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Answer each question below, showing ALL work.



pls- help me ASAP someone :(

Answer each question below, showing ALL work.pls- help me ASAP someone :(

Answers

Answer:

1)y=3x+2

2)y=-2/2x+4

Step-by-step explanation:

you get the slope from the points and the b from the y intercept.

which of the relations given by the following sets of ordered pairs is a function?
a. {(5,2),(4,2),(3,2),(2,2),(1,2)}{(5,2),(4,2),(3,2),(2,2),(1,2)}
b. {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}
c. {(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}{(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}
d. {(−6,4),(−3,−1),(0,5),(1,−1),(2,3)}

Answers

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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in the standard curve for nitrophenol generated for use in this experiment, what is reported on the x-axis?

Answers

In the standard curve for nitrophenol generated for use in this experiment, the nitrophenol concentration is reported on the x - axis.

What is standard curve?

A calibration curve, sometimes referred to as a standard curve, is a common technique used in analytical chemistry to compare an unknown sample to a group of standard samples with known chemical concentrations.

In order to calculate the nitrophenol concentration in mole/ml based on absorbance readings, the standard curve is drawn.

Based on the optical density, or OD410, or absorbance at 410 nm, this standard curve of absorbance is used to calculate the quantity of nitrophenol.

Therefore, the nitrophenol concentration is displayed on the x axis of the standard curve.

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The construction of two science laboratories at Eduvos that have the capacity to carry 100 students each. The construction of each lab will cost R2 million in total, which includes installation of top of the range equipment and air conditioning. The construction should be done from 1 December 2022 to 31 January 2023 during the students’ vacation period. Write a ToF TO OFFICIALLY INITIATE The project. Your report should detail how each knowledge areas will be managed:

Human Resources

Procure management

Quality management

Answers

To officially initiate the project for constructing two science laboratories at Eduvos, the report should outline the management approach for three knowledge areas: Human Resources, Procurement Management, and Quality Management.

Human Resources Management: The report should describe how the project will handle human resources. This includes identifying the required skills and competencies for the project team, developing a staffing plan, and defining roles and responsibilities. It should outline the process for recruiting and selecting team members, as well as strategies for managing and motivating the team throughout the project. Additionally, the report should address any training or development needs to ensure the team is equipped to successfully complete the construction project.
Procurement Management: The report should outline the approach for procurement management. This involves identifying the necessary materials, equipment, and services required for the construction project. It should specify the procurement process, including vendor selection criteria, bidding procedures, and contract negotiation. The report should also address the manarisks or criteria of supplier relationships, monitoring of deliveries, and handling any procurement-related risks or issues that may arise during the project.
Quality Management: The report should detail the quality management plan for the construction project. This includes defining quality objectives, standards, and metrics to ensure that the laboratories meet the required specifications. It should outline the processes for quality assurance, such as inspections, testing, and verification of workmanship. The report should also address quality control measures to monitor and address any deviations from the defined standards. Additionally, it should include strategies for continuous improvement and the resolution of quality-related issues throughout the project.
By providing a comprehensive overview of the management approaches for Human Resources, Procurement, and Quality, the report sets the foundation for successfully initiating the construction project and ensuring its smooth execution.

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two polynomials with integer coefficients are relatively prime in q[x] if and only if the ideal they generate in z[x] contains a (nonzero) integer

Answers

Certain polynomials with integer coefficients fall into the category of substantially prime polynomials in q[x] if and only if the ideal they create in z[x] contains a (nonzero) integer.

What are polynomials?

A polynomial is an expression in mathematics that consists of indeterminates (also known as variables and coefficients) that exclusively uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. x2 4x + 7 is an illustration of a polynomial of one uncertain x.

In both mathematics and science, polynomials are widely used. For instance, they are used to define polynomial functions, which can be found in a variety of contexts, from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.

Calculations:

Let d=degP.

Then the Q-vector space V=Q[X]/(P) is d-dimensional.

The residue classes modulo (P) of X2,X3,X5,… are linearly dependent over Q, so there exist a2,a3,a5,…∈Z not all zero such that a2X2+a3X3+a5X5+⋯∈(P).

This shows that there is Q∈Z[X], Q≠0 such that PQ=a2X2+a3X3+a5X5+⋯.

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Help, I need to know the area of this.

Help, I need to know the area of this.

Answers

Answer:

300ft^2

Step-by-step explanation:

identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 36

Answers

Therefore, the surface represented by the given equation is a sphere centered at the origin with a radius of 6 units.

The given equation rho^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 represents a surface in spherical coordinates. Let's break down the equation to identify the surface:

ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36

Here, ρ represents the radial distance, φ is the polar angle, and θ is the azimuthal angle.

By analyzing the equation, we can see that it combines both the azimuthal and polar angles. The terms sin^2(φ)sin^2(θ) and cos^2(φ) involve both angles.

The equation ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 describes a sphere centered at the origin with a radius of 6 units. The constant value of 36 indicates that the squared radial distance from the origin to any point on the surface is 36.

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please help!! will give brainliest

please help!! will give brainliest

Answers

Answer:

It is 8 cm

Step-by-step explanation:

i hope this helps

Draw a venn diagram to show the relation between the sets of real numbers, rational number and irrational numbers.​

Answers

Answer:

The image is not clear but get the idea

Draw a venn diagram to show the relation between the sets of real numbers, rational number and irrational

When drawing the stretchout arc for the pattern of a cone fitting, the radius should be equal to _____.

Answers

When drawing the stretch-out arc for the pattern of a cone fitting, the radius should be equal to the true length of the side.

The 3 tactics typically used in developing patterns are parallel-line, radial-line, and triangular improvement.

To make such objects, a drafter has to first draw them as a pattern or pattern improvement. A pattern improvement additionally known as a stretch out or simply an improvement is a format of an object made on a single flat aircraft.

In radial traces, we develop styles for shapes that have a taper, all element lines (bends) should radiate returned to a not unusual factor, a radius point. We want matters for this procedure to paintings: A radius factor is in the center (right cone). A radius point is inside an inexpensive distance.

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Jennifer and Chelsea each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jennifer spent $146 on 6 rose bushes and 14 geraniums. Chelsea spent $57 on 1 rose bush and 7 geraniums. What is the cost of one rose bush and the cost of one geranium?

Answers

Answer:

$15.00

Step-by-step explanation:

Suppose 1 rose bush costs r dollars,

Suppose 1 geranium costs g dollars.

Here are 2 equations:

1)6r+14g=146

3r+7g=73

2)r+7g=57

r=57-7g

Put 2) in 1)

3(57-7g)+7g=73

171-21g+7g=73

98=14g

g=7

r=8

7+8=$15.00

Hope I helped!

find the sum of the numbers if their sum is -11 and their difference is 41

Answers

Answer:

-52

Step-by-step explanation:

-11 -14 are same sign is equal to plus ,,so that is answer -52 ...

Answer:

- 11 - 41

-52 is the right answer....

the orchard cafe has found that about 15% of the diners who make reservations don't show up. if 90 reservations have been made, how many diners can be expected to show up? find the standard deviation of this distribution. (round your answers to two decimal places.)

Answers

Out of 90 reservation made, 77 diners are expected to show up. And the standard deviation of this binomial distribution is 3.39

We have been given that

   Percentage of people who make reservation and didn’t show up = 15%                       = 0.15

   Number of reservation made = 90

 Now we have to calculate number of people expected to show up that is we have to calculate mean. As this a binomial distribution in which we have been given

    n = 90   and q = 0.15  

Thus, µ = np = 90*(1-0.15) = 90*0.85

          µ = 76.5 ≈ 77

Thus it is expected to have 77 diners to show up.

Now standard deviation is given as:

σ = √npq

σ = √90*0.15*0.85

σ = 3.39

Hence the standard deviation is 3.39

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The rectangle shown is to be dilated by a scale factor of 3.5.
(a) Calculate the length of each side of the dilated image. Show your calculations for each side length.
(b) Draw the new image and label it
A B D C     . (It does not have to be to scale) .


The rectangle shows two sides being 18 cm and the other two being 8 cm

Answers

Answer:

The answer to your problem is:

AB= 30cm

BD= 16cm

Step-by-step explanation:

Since the one shown is to be dilated by a factor of 2, our new dimensions are 2x / 2y. We multiply each side length by two to get our new dilated image.

Which the side lengths being:

AB= 30cm

BD= 16cm

Thus the answer to the problem is:

AB= 30cm

BD= 16cm

Akira and Desmond order eggs for $4. 45, pancakes for $4. 05, and 2 mugs of cocoa for $1. 10 each. The tax is $0. 85. How much change should they get from $15. 00?

Answers

Answer:

$3.45

Step-by-step explanation:

Akira and Desmond order eggs for $4. 45, pancakes for $4. 05, and 2 mugs of cocoa for $1. 10 each. The


Perpendicular distance between the base of a triangle and the opposite vertex is called _____of the triangle

Answers

Answer:

Median might be the answer or maybe the height?

Altitude of the triangle

The Brennan Aircraft Division of TLN Enterprises operates a large number of computerized plotting machines. For the most part, the plotting devices are used to create line drawings of complex wing airfoils and fuselage part dimensions. The engineers operating the automated plotters are called loft lines engineers. The computerized plotters consist of a minicomputer system connected to a 4- by 5-foot flat table with a series of ink pens suspended above it When a sheet of clear plastic or paper is properly placed on the table, the computer directs a series of horizontal and vertical pen movements until the desired figure is drawn. The plotting machines are highly reliable, with the exception of the four sophisticated ink pens that are built in. The pens constantly clog and jam in a raised or lowered position. When this occurs, the plotter is unusable. Currently, Brennan Aircraft replaces each pen as it fails. The service manager has, however, proposed replacing all four pens every time one fails. This should cut down the frequency of plotter failures. At present, it takes one hour to replace one pen. All four pens could be replaced in two hours. The total cost of a plotter being unusable is $50 per hour. Each pen costs $8. If only one pen is replaced each time a clog or jam occurs, the following breakdown data are thought to be valid: Hours between plotter failures if one pen is replaced during a repair Probability 10 0.05 20 0.15 30 0.15 40 0.20 50 0.20 60 0.15 70 0.10 Based on the service manager’s estimates, if all four pens are replaced each time one pen fails, the probability distribution between failures is as follows: Hours between plotter failures if four pens are replaced during a repair Probability 100 0.15 110 0.25 120 0.35 130 0.20 140 0.00 (a) Simulate Brennan Aircraft’s problem and determine the best policy. Should the firm replace one pen or all four pens on a plotter each time a failure occurs?

Answers

To determine the best policy for Brennan Aircraft's plotter pen replacement, we can simulate the problem and compare the expected costs for both scenarios: replacing one pen or replacing all four pens each time a failure occurs.

Let's calculate the expected costs for each scenario:

Replacing one pen:

We'll calculate the expected cost per hour of plotter failure by multiplying the probability of each failure duration by the corresponding cost per hour, and then summing up the results.

Expected cost per hour = Σ(Probability * Cost per hour)

Expected cost per hour = (10 * 0.05 + 20 * 0.15 + 30 * 0.15 + 40 * 0.20 + 50 * 0.20 + 60 * 0.15 + 70 * 0.10) * $50

Expected cost per hour = $39.50

Replacing all four pens:

We'll calculate the expected cost per hour using the same method as above, but using the probability distribution for the scenario of replacing all four pens.

Expected cost per hour = (100 * 0.15 + 110 * 0.25 + 120 * 0.35 + 130 * 0.20 + 140 * 0.00) * $50

Expected cost per hour = $112.50

Comparing the expected costs, we can see that replacing one pen each time a failure occurs results in a lower expected cost per hour ($39.50) compared to replacing all four pens ($112.50). Therefore, the best policy for Brennan Aircraft would be to replace one pen each time a failure occurs.

To learn more about probability : brainly.com/question/31828911

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What is the slope of the line

What is the slope of the line

Answers

Answer:

slope = -3/4

Step-by-step explanation:

y(1)-y(2)/x(1)-x(2)

Plug in coordinates (0,4) and (4,1)

1-4/4-0

-3/4 is the slope

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