Steve can mow the lawn in 30 minutes by himself. Cathy can mow the same lawn in 50 minutes by herself. How long will it take to mow the lawn if they work together?​

Answers

Answer 1

Answer:

1 job done

Step-by-step explanation:

Sam can do the job in 20 min. So he can do the whole job at the rate of 1 job in 20 minutes.

So he does 1/20 of the job per minute.

Rob can do the job in 30 min. His rate is 1/30 of the job per minute.

Working together how does it take?

1/20*x + 1/30*x = 1 job done

, where x = minutes.

Multiply everything by 60 go get rid of the fractions.

3x + 2x = 60

5x = 60

.

Divide both sides by 12

x = 12

So our candidate answer is working together it will take them 12 minutes.

Let's check.

In 12 minutes, Sam does 12/20 of the job and Rob does 12/30 of the job.

12/20 = .6

12/30 = .4

Total = 1 job done.


Related Questions

A rectangular construction site is enclosed on three sides using 60 m of fencing. The remaining side is
formed by an existing wall. What dimensions enclose 450 m² of land?

Answers

The Width is 15m and Length is 30m.

What is Area of Rectangle?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.

Here, let the width of the rectangle be x m.

         and the length be 60-2x m

Area of rectangle = 450 m²

Now, Area of rectangle = L X W

               450 = (x) X (60-2x)

               450 = 60x - 2x²

               2x² - 60x + 450 = 0

                x² - 30x + 225 = 0

               x² - 15x - 15x + 225 = 0

               (x-15)(x-15) = 0

   So, x = 15m.

width = 60 - 2x = 60 - 2X15 = 30 m

Thus, the Width is 15m and Length is 30m.

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48,184 divided by 152

Answers

Answer:

317 is the finally awnser

given a point A is on a coordinate plane in quadrant I. if it is rotated 90° counter clockwise then reflecred across the y axis. What quadrant will point A be in​

Answers

Answer:

it would be -90⁰ because its clockwise its the opposite direction

6.4=0.8m what does m equal

Answers

Answer:

0.8

Step-by-step explanation:

8x8=64 but put the decimal point back in 0.8x0.8=6.4

give explanation please, thank
you.
(b) Let S = {x|x = 1 - 1, n = 1,2,3,... ..}.. i) What is the set of boundary points of S? ii) What is the set of interior points of S. iii) Is S an open set? Briefly explain. iv) Is S a closed set? Br

Answers

(i) The set of boundary points of S is {1}.

(ii) There are no interior points in S.

(iii) S is not an open set because it does not contain any interior points.

(iv) S is a closed set because it contains all of its boundary points.

Let's analyze the set S step by step:

(i) Boundary points of S:

A boundary point of a set is a point that is neither an interior point nor an exterior point. In this case, since S consists of the elements x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n approaches infinity, x approaches 1. So, the set of boundary points of S is {1}.

(ii) Interior points of S:

An interior point of a set is a point that has an open neighborhood contained entirely within the set.

In this case, since S is defined as x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n increases, x approaches 1.

However, for any n, we can always find another n' greater than n such that 1 - 1/n' is closer to 1.

Therefore, there are no interior points in S.

(iii) S as an open set:

An open set is a set that contains all of its interior points.

Since S has no interior points (as discussed in part ii), it cannot contain all of its interior points.

Therefore, S is not an open set.

(iv) S as a closed set:

A closed set is a set that contains all of its boundary points.

In this case, the set of boundary points of S is {1}, and this set is contained within S itself.

Therefore, S contains all of its boundary points and is considered a closed set.

In summary, the set S has a single boundary point {1}, no interior points, is not an open set, and is a closed set.

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24/4 ÷ 10
please answer quickly ​

Answers

Answer:

0.48

Step-by-step explanation:

25/4 ÷ 10=0.48

Brainiest plz and hope it helped

Is this a function? Why or why not?

Is this a function? Why or why not?

Answers

Answer:

Yes because there are no repeated dependent variables.

Step-by-step explanation:

how many pounds of bananas are removed from the display table during the first 2 hours the store is opened

Answers

Approximately 19.9919 pounds of bananas are removed from the display table during the first 2 hours the store is open.

The function has a constant term 10, which represents the minimum rate of banana removal even if no customers are present.

The second function is g(t), which models the rate at which bananas are added to the display table.

Now, to answer the question, we need to find out how many pounds of bananas are removed from the display table during the first 2 hours. We can do this by integrating the function f(t) from 0 to 2, which gives us the total amount of bananas removed during this time interval. Using the integral notation, we have:

Total amount of bananas removed = ∫₀² f(t) dt

Using the formula for f(t), we can evaluate this integral as follows:

∫₀² [10 + (0.81)sin(100t)] dt = [10t - (0.81/100)cos(100t)] from 0 to 2

Plugging in the limits of integration, we get:

[10(2) - (0.81/100)cos(200)] - [10(0) - (0.81/100)cos(0)] = 20 - 0.0081 ≈ 19.9919 pounds

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Complete Question:

When a certain grocery store opens, it has 50 pounds of bananas on a display table. Customers remove bananas from the display table at a rate modeled by

f(t) = 10 + (0.81)sin 100 for 0

where f(t) is measured in pounds per hour and is the number of hours after the store opened. After the store has been open for three hours, store employees add bananas to the display table at a rate modeled by

8(t) = 3 + 2.4 In (12 + 2+) for 3

where g(t) is measured in pounds per hour and is the number of hours after the store opened.

(a) How many pounds of bananas are removed from the display table during the first 2 hours the store is open?

Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?

Answers

Answer:

8.4weeks

Step-by-step explanation:

The question in details "Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?"    

given that Mike is paid $5 per hour

and that he only works 2 hours per week

that means in a week he earns= 5*2= $10

Also, given that mike has a fee of $84 to pay

it would take him 84/10= 8.4weeks

it would take him 8.4weeks to pay the money

two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000

Answers

The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.

Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.

The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000

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A scientist cools some water at a constant rate. The graph and table show
how the temperature of the water changes with time.
Which function models this situation?
Water Temperature
8
7
8
Time (minutes)
Temperature (°C)
2899 228 229
55
50
45
40+
35+
30
25
20
15
10
5
Time (minutes)
Temperature (°C)
A. a(n) = 46-n-(4-1)
B. a(n) = 46 - 40+1
C. a(n) = 46-(n-1)-4
D. a(n) = 46-47-1
9 10
5
30
6
26

Answers

The correct function that matches the data in the graph is  a(n) = 46-(n-1)-4 (option C)

How to choose the correct option?

The only way is to verify the function matches the data by replacing n.

For example, we know at 5 seconds the temperature is 30. Let's use 5 (n) to verify the function.

a(n) = 46-(5-1) x 4a(n) = 46- 4x 4a(n) = 46- 16a (n) = 30

This option matches the value of the temperature.

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A scientist cools some water at a constant rate. The graph and table showhow the temperature of the water

who ever gets it right first gets brainlyest plz help!

who ever gets it right first gets brainlyest plz help!

Answers

Answer:

It is between 9 and 10

Step-by-step explanation:

Answer:

helping other guy get brainleyest

Step-by-step explanation:

Consider the following table: Female Male Total Republican 105 115 220 Democrat 150 103 253 Independent 150 179 329 Total 405 397 802 What is the probability a voter is either female or Democrat?

Answers

The probability that a voter is either female or Democrat is 0.64 or 64%.

To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.

From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.

To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).

So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.

Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.

Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.

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The probability in your area that a voter is a republican is 0.35. What is the probability that the first republican you find is the 4th voter in line ?

Answers

The probability that the first republican you find is the 4th voter in line is 12.25%.

In the gievn question, the probability in your area that a voter is a republican is 0.35.

We have to find the probability that the first republican you find is the 4th voter in line.

The probability of a voter is a republican is 0.35.

The first republican we find is the 4th voter in line is

=0.35*0.35

Now multiplying;

=0.1225

To convert in percentage multiply and divide by 100.

We get

=12.25%

Hence, the probability that the first republican you find is the 4th voter in line is 12.25%.

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8+ (-3) + (-8)

NEED HELP

Answers

your answer would be -3

Answer:

\(-3\)

Step-by-step:

\(8+ (-3) + (-8)\)

1  ) Combine like terms...

\(=5 - 8\)

2 ) Solve...

\(= - 3\)

Hope this helps! :)

HELP PLEASE ASAP!!! I NEED HELP

HELP PLEASE ASAP!!! I NEED HELP

Answers

The correct anwser would be
B.

HELP ME PLEASE IF YOU SEE THIS PLEASE HELP I ONLY NEED THE ANSWER YOU DONT EVEN HAVE TO EXPLAIN IT

HELP ME PLEASE IF YOU SEE THIS PLEASE HELP I ONLY NEED THE ANSWER YOU DONT EVEN HAVE TO EXPLAIN IT

Answers

Answer:

653

Step-by-step explanation:

The surface area of the larger cube is

2(10 x 7) + 2(12x7) + 2(10x12) = 140 + 168 + 240 = 548

The surface area of the smaller cube (minus the surface that is covered by the other figure)

4(8x3) + 1(3x3) = 96 + 9 = 105

105 + 548 = 653

Answer:

It is 653 cm

Step-by-step explanation:

John tossed a coin 50 times, and it lands on head 27 times and it lands on tails 23 times. What is the relative frequency of landing on heads?
A. 27%
B. 46%
C. 50%
D. 54%

Answers

Answer:

D. 54%

Step-by-step explanation:

Find the relative frequency of it landing on heads by dividing 27 by 50, then multiplying it by 100

27/50

= 0.54

0.54(100)

= 54

So, the relative frequency is 54%

The correct answer is D. 54%

Consider a variant of the hamburger and figs example from class. Rachel has $50 in income, the price per hamburger is $3 and the price per bag of figs is $2. a) Write out an expression for Rachel's budget line. Sketch a graph, with hamburgers on the x axis. b) Suppose the price of figs increases to $3. Write out the new budget line equation and illustrate in your graph. c) Suppose income is $50, the price per hamburger is $3 and the price per bag of figs is $3. Rachel also receives $10 in cash from a friend. Write out a new budget line equation and illustrate in a graph. d) Suppose income is $50, the price per hamburger is $3 and the price per bag of figs is $3. Instead of cash, Rachel's friend gives her a gift basket containing 3 free bags of figs. Sketch Rachel's new budget line? Has the slope of the budget line changed? Can you write out a new budget line equation?

Answers

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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One of two or more numbers that multiply together to form a specific product ; a number that divides into another number with no remainder.
A. prime
B. remainder
C. factor

Answers

Answer:

Step-by-step explanation:

C. Factor

A factor is a number that divides another number, leaving no remainder. Meaning that if you multiply two whole numbers that gives us a product,  then the numbers we are multiplying are factors of the product because they are divisible by the product.

(Hope this makes sense, if not I'm sorry)

help D: David has 53 coins, some nickels and some dimes. If the coins have a value of $3.60,
how many of each kind are there?

help D: David has 53 coins, some nickels and some dimes. If the coins have a value of $3.60,how many

Answers

Answer:

19 dimes and 34 nickels

Step-by-step explanation:

dimes: 19

nickels 34

19 dimes x 10 = 190

34 nickels x 15 = 170

190 + 170 = 360 turn that to money value = 3.60

and 19 + 34 = 53

hope this helps

7(+5)=21
can you please help with math problem

Answers

What do u have to find?

The mean marrow dose from diagnostic x-ray examinations averaged over the entire population of the United States is about:

Answers

The mean marrow dose from diagnostic X-ray examinations averages over the entire population of the United States is about: 100 mrad/yr.

What is the mean marrow dose?

The mean marrow dose refers to the average amount of radiation that the blood-producing cells of the bones are exposed to.

It is important to calculate the amount of radiation the bone marrow is exposed to because an inordinate amount of exposure can lead to diseases like cancer and bone deformation. In the United States, the average amount of exposure is 100 mrad per year.

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ssssssssoooollllvvveee

ssssssssoooollllvvveee

Answers

The answer is it’s right in front of your face

Answer:

25/2

Step-by-step explanation:

k=y/x =50/4=25/2

In a group of 45 students, 5 study both Art and Biology.
8 study Biology but not Art.
9 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

Answer:

5/45 because there are 9 art students but only 5 students do art and biology.

hi i need ur help again plz

hi i need ur help again plz

Answers

The answer should be -3

Answer:

-3

Step-by-step explanation:

If -2f = 6 then f =-3

With this, you will divide both sides by -2 to find the value of x and you realise that 6 can be successful divided evenly by 2, 3 times.

I plan to run a central composite design in 5 variables, and I want to
save experimental effort. I am considering running a 2^5-1 for the
factorial part of the design, instead of a full factorial. What is your
advice for me about this? That is, does it make sense to you or not?
Assume that I plan to fit a full quadratic model with all main effects, all
two-factor interactions, and all quadratic terms. Justify your answer.

Answers

Running a 2⁵-1 central composite design instead of a full factorial design can be a reasonable approach to save experimental effort while still obtaining valuable information.

However, it is important to consider the specific requirements and goals of your study, as well as the potential limitations of the reduced design. The decision should be based on a trade-off between the resources available, the complexity of the system being studied, and the desired level of precision in estimating the quadratic model.

A central composite design is a type of experimental design that combines factorial points with additional center points to estimate a quadratic model with main effects, two-factor interactions, and quadratic terms.

In a full factorial design for 5 variables, there would be 2⁵ = 32 factorial points.

However, if you run a 2⁵-1 design, you would exclude one factorial point, reducing the number of experimental runs to 31.

By doing this, you can save some experimental effort while still obtaining a reasonable estimate of the quadratic model.

The decision to use a reduced design should be based on several factors. Firstly, consider the resources available, including time, cost, and available sample size.

Running a full factorial design may require a larger sample size and more resources, which may not be feasible or necessary in some cases. Secondly, evaluate the complexity of the system being studied.

If the system has many factors and interactions, a full factorial design might be more appropriate to capture the complexity accurately. However, if the system is relatively simple, a reduced design can still provide useful information about the quadratic model.

It is important to note that a reduced design will result in some loss of information compared to a full factorial design. The excluded factorial point represents a specific combination of factor levels that will not be investigated, potentially leading to some uncertainty in estimating the quadratic model parameters.

However, if the design is well-planned and carefully executed, the reduced design can still provide valuable insights and estimates of the quadratic model, especially if the excluded point is not expected to have a significant impact on the response variables of interest.

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What is the midpoint of the horizontal line segment graphed below?10(-6,3)(10,3)10A. (2,6)В. (4, 6)ОООC. (2, 3)D. (4, 3)

What is the midpoint of the horizontal line segment graphed below?10(-6,3)(10,3)10A. (2,6). (4, 6)C.

Answers

\((x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

Therefore,

(-6, 3)(10, 3)

\(\begin{gathered} (x_m,y_m)=(\frac{-6+10}{2},\frac{3+3}{2}) \\ (x_m,y_m)=(\frac{4}{2},\frac{6}{2}) \\ (x_m,y_m)=(2,3) \end{gathered}\)

AABC has vertices A(2, 1) B(4, 4) and C(4,1) . ADEF has corresponding vertices D(7, 3)

E(9, 6) and F(9, 3) Which of the following describes a translation that would produce ADEF from the pre-image of triangle ABC ?

To the right five units, and up two units To the left five units, and down two units

To the left five units, and up two units

To the right five units, and down two units

Answers

A statement which describes a translation that would produce ΔDEF from the pre-image of triangle ΔABC include the following: A. To the right five units, and up two units.

What is a translation?

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Next, we would determine the translation rule as follows;

ΔABC → ΔDEF = (2 + 5, 1 + 2) = D (7, 3)

ΔABC → ΔDEF = (4 + 5, 4 + 2) = E (9, 6)

ΔABC → ΔDEF = (4 + 5, 1 + 2) = F (9, 3)

Therefore, the translation rule is given by this mathematical expression ΔABC → ΔDEF = (x + 5, y + 2). This ultimately implies that, triangle ABC (ΔABC) was translated by five units to the right and up two units in order to produce triangle DEF (ΔDEF).

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Gina Wilson homework unit 10 homework 8

Gina Wilson homework unit 10 homework 8

Answers

The equation of the circles is:

\((x-2)^2 + (y-8)^2 = 9\\(x-5)^2 + (y+13)^2 = 121\\(x+9)^2 + (y+7)^2 = 1156\\(x+8)^2 + y^2 = 25\\x^2 + (y+16)^2 = 15\\(x-12)^2 + (y+1)^2 = 209\\\)

We have,

The equation of a circle with center (a, b) and radius r is:

\((x - a)^2 + (y - b)^2 = r^2\)

Now,

Center = (2, 8) and radius = 3

Substituting the given values in the equation of a circle, we get:

(x - 2)² + (y - 8)² = 3²

Simplifying, we get:

(x - 2)² + (y - 8)² = 9

Centre = (5, -13) and radius = 11

Substituting the given values in the equation of a circle, we get:

(x - 5)² + (y + 13)² = 11²

Simplifying, we get:

(x - 5)² + (y + 13)² = 121

Centre = (-9, -7) and radius = 34

Substituting the given values in the equation of a circle, we get:

(x + 9)² + (y + 7)² = 34²

Simplifying, we get:

(x + 9)² + (y + 7)² = 1156

Centre = (-8, 0) and radius = 5

Substituting the given values in the equation of a circle, we get:

(x + 8)² + y² = 5²

Simplifying, we get:

(x + 8)² + y² = 25

Centre = (0, -16) and radius = √15

Substituting the given values in the equation of a circle, we get:

x² + (y + 16)² = (√15)²

Simplifying, we get:

x² + (y + 16)² = 15

Centre = (12, -1) and radius = √209

Substituting the given values in the equation of a circle, we get:

(x - 12)² + (y + 1)² = (√209)²

Simplifying, we get:

(x - 12)² + (y + 1)² = 209

Thus,

The equation of the circles is:

\((x-2)^2 + (y-8)^2 = 9\\(x-5)^2 + (y+13)^2 = 121\\(x+9)^2 + (y+7)^2 = 1156\\(x+8)^2 + y^2 = 25\\x^2 + (y+16)^2 = 15\\(x-12)^2 + (y+1)^2 = 209\\\)

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5) Choose each word that should be capitalized in the following sentence. (choose all that apply)the fourteenth amendment to the constitution made all races equal in their ranks of citizenship.fourteenthracesequalconstitutionthecitizenshipranksamendment There are an estimated 1 billion illiterate people in the world. What is the social cost of this level of illiteracy? A hockey net is 1.8 m wide. A player is 6 m from one goal post and 6.7 m from the other. WithinWhat angle must she Keep her shot in order to score a goal? Help with 8th-grade middle school math SHOW WORK The Blue Origin rocket ship starts vertically upward from the launch pad a constantacceleration of 6.3 m/sec2. How high does the rocket ship raise above the launchpad after 94 seconds of flight?Assume that the rocket ship moves vertically up all the time. Enter your answer inmeters (m). pls help :P i know it's easy Story of an hour by Kate Chopin text to world If each estimate is different, how does a project manager decide that one estimate is better than another?Story: Barbara just received the good news: She was assigned as the project manager for a project that her company won as part of competitive bidding. Whenever a request for proposal (RFP) comes into Barbaras company, a committee composed mainly of senior managers reviews the RFP. If the decision is made to bid on the job, the RFP is turned over to the Proposal Department. Part of the Proposal Department is an estimating group that is responsible for estimating all work. If the estimating group has no previous history concerning some of the deliverables or work packages and is unsure about the time and cost for the work, the estimating team will then ask the functional managers for assistance with estimating.Project managers like Barbara do not often participate in the bidding process. Usually, their first knowledge about the project comes after the contract is awarded to their company and they are assigned as the project manager. Some project managers are highly optimistic and trust the estimates that were submitted in the bid implicitly unless, of course, a significant span of time has elapsed between the date of submittal of the proposal and the final contract award date. Barbara, however, is somewhat pessimistic. She believes that accepting the estimates as they were submitted in the proposal is like playing Russian roulette. As such, Barbara prefers to review the estimates.One of the most critical work packages in the project was estimated at twelve weeks using one grade 7 employee full time. Barbara had performed this task on previous projects and it required one person full time for fourteen weeks. Barbara asked the estimating group how they arrived at this estimate. The estimating group responded that they used the three-point estimate where the optimistic time was four weeks, the most likely time was thirteen weeks, and the pessimistic time was sixteen weeks.Barbara believed that the three-point estimate was way off of the mark. The only way that this work package could ever be completed in four weeks would be for a very small project nowhere near the complexity of Barbaras project. Therefore, the estimating group was not considering any complexity factors when using the three-point estimate. Had the estimating group used the triangular distribution where each of the three estimates had an equal likelihood of occurrence, the final estimate would have been thirteen weeks. This was closer to the fourteen weeks that Barbara thought the work package would take. While a difference of 1 week seems small, it could have a serious impact on Barbaras project and incur penalties for late delivery.Barbara was now still confused and decided to talk to Peter, the employee who was assigned to do this task. Barbara had worked with Peter on previous projects. Peter was a grade 9 employee and considered to be an expert in this work package. As part of the discussions with Barbara, Peter made the following comments:I have seen estimating data bases that include this type of work package and they all estimate the work package at about 14 weeks. I do not understand why our estimating group prefers to use the three-point estimate."Does the typical data base account for project complexity when considering the estimates?" asked Barbara. Peter responded:Some data bases have techniques for considering complexity, but mostly they just assume an average complexity level. When complexity is important, as it is in our project, analogy estimating would be better. Using analogy estimating and comparing the complexity of the work package on this project to the similar works packages I have completed, I would say that 1617 weeks is closer to reality, and lets hope I do not get removed from the project to put out a fire somewhere else in the company. That would be terrible. It is impossible for me to get it done in 12 weeks. And adding more people to this work package will not shorten the schedule. It may even make it worse.Barbara then asked Peter one more question:Peter, you are a grade 9 and considered as the subject matter expert. If a grade 7 had been assigned, as the estimating group had said, how long would it have taken the grade 7 to do the job?"Probably about 20 weeks or so," responded Peter. a firm earning more than 95 percent of the revenues from a single line of business is known as a . Complete the table with values for x or y that make this equation true : 3x+y=15. PLS HELP! Will mark Brainliest!What is the best kind of stretching? A. Static stretching B. Ballistic Stretching C. Bouncing on a stretch D. None of the above A raffle has 250 tickets. One ticket will win a $300 prize, one ticket will win a $190 prize, and one ticket will win a $160 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff? plzzzzzzzz help for a brainly how much energy is needed to place three charges, each are 2.0c, at the corners of an equilateral triangle of side 2.0 cm? There is a bag filled with 5 blue, 6 red and 2 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting exactly 1 blue? The question is below! Will mark brainliest! Best answer! Which of the following is a good tool for planning the verbal and visual components of a collaborative presentation? Multiple Choice a Web-based application PowerPoint SmartArt a flowchart a Gantt chart a storyboard 15) Family is one of the ________ factors that influence consumer behavior.A) regionalB) socialC) personalD) psychologicalE) business There is a bell at the top of a tower that is 45 meters high. The bell weighs 210 N. Thebell hasenergy. Calculate it. 6. A student travels 4.0 m east, 8.0 m south, 4.0 m west, and finally 8.0 m north. What is herdisplacement?What distance did she travel?