write each ratio in simplest form:
3:6
10:5
16:24

Answers

Answer 1

Answer:

1:2

 2:1

2:3

Step-by-step explanation:

3:6

Divide each side by 3

3/3: 6/3       1:2

10:5

Divide each side by 5

10/5 : 5/5      2:1

16:24

Divide each side by 8

16/8: 24/8     2:3

Answer 2
1st 1:2
2nd 2:1
3rd 2:3

Related Questions

Decide if each question is statistical or nonstatistical.
How many hours did Rahul sleep last night?
What is your favorite sport?
What is Noya's favorite book?
How far away do you live from your school?

Answers

Answer:

nonstatistical, statistical, nonstatistical, statistical

Step-by-step explanation:

Its Correct!

Answer:

nonstatistical, statistical, nonstatistical, statistical

Step-by-step explanation:

The person above right

Question 1
Create a triangle of your choice on the grid. Measure two of the angles on the triangle and the length of the side between the two angles. Record
the measurements in the table

Answers

Answer:

  see attached

  angles: 39.8°, 68.2°; side: 8

Step-by-step explanation:

The triangle and its measurements are shown in the attachment.

_____

If you do this with pencil and paper and protractor, likely your angle measurements will only be to the nearest degree.

An aquarium has exhibits that feature different marine animals. 5/8 of the staff are male. 5/12 of the staff works part time at the aquarium. What fraction of the staff is female?

Answers

Answer:

The fraction of the staff is female is [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Given that an aquarium has exhibits that feature different marine animals.

Also given that [tex]\frac{5}{8}[/tex] of the staff are male.

[tex]\frac{5}{12}[/tex] of the staff works part time at the aquarium

To find the fraction of the staff is female:

 Let the entire staff is represented by the fraction [tex]\frac{8}{8}[/tex].

The fraction of the staff is female is given by

[tex]\frac{8}{8}-\frac{5}{8}[/tex]

[tex]=\frac{8-5}{8}[/tex]

[tex]=\frac{3}{8}[/tex]

∴ The fraction of the staff is female is [tex]\frac{3}{8}[/tex]

In order for you to answer the question correctly, please use the following image below:

Find the value of c.

What is the value of C?

Please show all the work on how you got your answer.

Answers

Answer:

28°

Step-by-step explanation:

Angle on the circumference is half the angle at the centre

c = ½(56)

c = 28°

Juan has already run 6 miles this month. He plans to run an additional 2.5 miles per day. At this rate, how long will take Juan to run 41 miles?

Answers

Answer:

x=14

Step-by-step explanation:

Hope that helped

Answer: 14 days

Step-by-step explanation:

2.5x + 6 = 41

       -6.       -6

2.5x = 41

——————

        2.5

x = 14

Choose 3 ratios in simplest form. 3:9

Answers

Answer:

Step-by-step explanation:

1:3

6:18

9:27

are all equivlent ratios

Final answer:

To choose 3 ratios in the simplest form, you must simplify the given ratios by dividing all the numbers by their greatest common divisor or the smallest among them. In genetics and chemistry, these simplified ratios are used to predict genetic outcomes and determine molecular compositions.

Explanation:

Choosing 3 ratios in the simplest form involves simplifying the given ratio. A ratio compares two quantities and can be written in various forms such as fractions, with a colon, or with the word 'to.' For example, 3:9, when simplified, becomes 1:3 as both numbers can be divided by 3. To express ratios as whole numbers or in the simplest form, divide all the numbers by the smallest number among them. For example, the ratio of 55:10:12 simplifies to 5.5:1:1.2, and when expressed as whole numbers, it becomes 5:1:1. In the subject of genetics, ratios such as 9:3:3:1 are used to predict outcomes based on genetic theory, and we can use data to test these ratios.

In chemistry, the mole ratio can be determined by dividing the molar amounts by the smallest molar amount. This is used to determine the ratio between different elements in a compound. For instance, if the molar amounts of elements in a compound were 0.03567 mol of Oxygen, 0.1070 mol of Carbon, and 0.2140 mol of Hydrogen, dividing each by the smallest molar amount of 0.03567 would give us a ratio that should then be expressed as whole numbers.

Use the drop downs to answer the following questions of finding the distance from (–6, 2) to the origin. Use (0, 0) as (x1, y1). d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot What is the difference of the x-coordinates, (x2–x1)? What is the difference of the y-coordinates, (y2–y1)? What is the distance from (–6, 2) to the origin?

Answers

Answer:

What is the difference of the x-coordinates, (x2–x1)?

-6

What is the difference of the y-coordinates, (y2–y1)?

2

What is the distance from (–6, 2) to the origin?

6.32

The difference between the x-coordinates, (x2–x1) is -6, and (y2-y1)=2

and The distance from (–6, 2) to the origin is 6.32.

We have given a point,

[tex](x_1,y_1)=(0,0)[/tex]

x1=0 and y1=0,

[tex]\ (x_2,y_2)=(-6,2)\\\\[/tex]

x2=-6 and y2=2,

What is the distance formula?

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have to find the difference of the x-coordinates, (x2–x1),

=-6-0

=-6

The difference of the y-coordinates, (y2–y1),

=2-0

=2

The distance from (–6, 2) to the origin,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(6)^2+(2)^2} \\d=\sqrt{36+4} \\d=\sqrt{40}[/tex]

[tex]d=\sqrt{40} \\d=6.32[/tex]

To learn more about the distance visit:

https://brainly.com/question/2854969

Based on a poll of 100 citizens, a community action group claims that 38% of the population is in favor of the construction of a senior center using tax dollars. A business group claims that the poll is not valid and that 65% of the citizens favor the construction of the senior center using tax dollars. To determine whether this sample supports the population proportion of 0.38, a simulation of 100 trials is run, each with a sample size of 200 and a point estimate of 0.65. The minimum sample proportion from the simulation is 0.42, and the maximum sample proportion from the simulation is 0.72. The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion? (0.55,0.75) (0.28,0.48) (0.45,0.85) (0.18,0.58)

Answers

Answer:

(0.55, 0.75)

Step-by-step explanation:

The standard deviation and range are both used to measure the spread of a data set. The number of the range and standard deviation gives us information in its own way how spaced out the data are due to the fact that they are both a measure of variation. However, there is not an explicit relationship between the range and standard deviation, there is a rule of thumb that can be useful to relate these two statistics. This relationship is sometimes referred to as the range rule for standard deviation.

The range is estimated to be 6 standard deviations wide.  Therefore, the standard deviation is:

Standard deviation= maximum sample proportion - minimum sample proportion / 6

σ = (0.72 - 0.42) / 6

σ = 0.05

The margin of error is defined as a statistic showing the amount of random sampling error in the result of a survey. The greater the margin of error, the lesser the confidence that a poll result would reflect the result of a survey of the entire population.

Here, the margin of error is ±2σ, so:

ME = ±0.10

Interval estimation in statistics is the use of sample data to compute an interval of possible values of an unknown population parameter. This is therefore in contrast to point estimation, which gives a single value.

Therefore, the interval estimate is:

(0.65 - 0.10, 0.65 + 0.10)

(0.55, 0.75)



Laurel buys 3 balls of yarn. Each ball of yarn costs $4.75. She also buys 2 pairs of knitting needles. Each pair costs $5.75. She pays for her purchase with two 20-dollar bills.What is her change?

Answers

Answer:

Her change is $14.25

Step-by-step explanation:

To work this out you would first multiply 3 by 4.75, which comes to  14.25. This is because you are finding the total for the balls of yarn. Then you would multiply 5.75 by 2, which comes to 11.5. Then you would add 14.25 and 11.5, which comes to 25.75. This is because you are now working out how much the total for the purchase is. Then you would multiply 20 by 2, which comes to 40. Then you would minus 25.75 from 40, which comes to 14.25.

1) Multiply 3 by 4.75.

[tex]3*4.75=14.25[/tex]

2) Multiply 5.75 by 2.

[tex]5.75*2=11.5[/tex]

3) Add 14.25 to 11.5.

[tex]14.25+11.5=25.75[/tex]

4) Multiply 20 by 2.

[tex]20*2=40[/tex]

5) Minus 25.75 from 40.

[tex]40-25.75=$14.25[/tex]

Final answer:

To determine Laurel's change, multiply the quantity of each item by its price, add them together, and subtract this total from the amount paid with two 20-dollar bills. The change is $14.25.

Explanation:

The student is asking how to calculate the total cost of items purchased and the change due from a transaction. To find out Laurel's change, we need to multiply the number of each item by its price and then add those amounts together. Subsequently, we subtract the total cost from the amount Laurel pays with.

First, calculate the cost for the balls of yarn. There are 3 balls at $4.75 each:

3 balls times $4.75 per ball = $14.25

Now, calculate the cost for the pairs of knitting needles. There are 2 pairs at $5.75 each:

2 pairs times $5.75 per pair = $11.50

Add the cost of the yarn and knitting needles to get the total:

$14.25 (yarn) + $11.50 (needles) = $25.75

Laurel pays with two 20-dollar bills, which is $40.00 in total. Subtract the total purchase amount from this:

$40.00 - $25.75 = $14.25 change

You have a quarter, 3 nickles, 2 pennies and 4 dimes in your pocket. What's the probability that you randomly select a quarter or penny?

Answers

The probability is 3/10

16. You deposit $468 into a mutual fund account. It decreases in value by 1% per week for six
months. How much do you have after 14 weeks?

Answers

Answer:

V(m)=320 (1.005).

Step-by-step explanation:

let me check rite nowww

What is the equation of the line that passes through the point
(−5,1) and has a slope of -1/5

Answers

Answer:

i think it is x=5y

Step-by-step explanation:

Answer:

y - 1 = -1/5(x + 5)

y - 1 = -1/5x - 1

y = -1/5x

Step-by-step explanation:

Ok second time putting this up. CAN SOMEONE HELP?!

Answers

Answer:

18x^2 - 45x + 28 , ( r + 4 )( r + 3 )

Step-by-step explanation:

Heres your answers :)

A magnet is an example what type of force A:applied force B: non-contact force

Answers

Answer:

B)non contact force

Step-by-step explanation:

Answer:

Non contract force

Step-by-step explanation:

Im sure its correct Good luck!

Nancy's Cupcakes recorded how many cupcakes it recently sold of each flavor.​

​chocolate cupcakes 2
​pistachio cupcakes ​ 1
​banana cupcakes ​ 5
​pumpkin cupcakes ​ 6

​​Considering this data, how many of the next 21 cupcakes sold would you expect to be pumpkin cupcakes?​
A
9
B
7
C
6
D
3
Part B
What is probability of a chocolate cupcakes being sold?
​ Probability (chocolate cupcakes) =
%
Note: Write your answer as a percentage rounded to the nearest whole number.

Answers

Answer:

Part A; 9

Part B; 14%

Step-by-step explanation:

Part A;

Knowing that pumpkin cupcake = 6

Total = add all the cupcake which is 2+1+5+6 = 14

Cross multiply

[tex]\frac{6}{14}=\frac{x}{21}[/tex]

6*21 = 126

126/14 = 9

Hence, Next 21 cupcakes sold, 9 cupcake will be pumpkin cupcake

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

Part B;

The probability of a chocolate cupcake being sold would be equal to the amount of chocolate cupcakes divided by the total number of cupcakes.

= 2/(2+1+5+6)

= 2/14

= 1/7.

We convert 1/7 to a percent.

When rounded to the nearest whole percent, we get the probability as 14%.

[RevyBreeze]

Final answer:

In the next 21 cupcakes sold, we would expect approximately 9 to be pumpkin cupcakes based on the past data. The probability of a chocolate cupcake being sold, based on this data, is approximately 14%.

Explanation:

The question is about predicting the expected number of pumpkin cupcakes sold based on past data and calculating the probability of a chocolate cupcake being sold.

Part A: In total, 2+1+5+6 = 14 cupcakes were sold. Out of these, 6 were pumpkin cupcakes which is approximately 43% of the total (6/14 = 0.43). If we project this percentage to the next 21 cupcakes, we would expect approximately 9 pumpkin cupcakes to be sold (0.43 * 21 = 9).

Part B: Out of the 14 cupcakes sold, 2 were chocolate. To find the probability of a chocolate cupcake being sold, you divide the number of chocolate cupcakes (2) by the total number of cupcakes (14) which is approximately 14%. So, the Probability (chocolate cupcakes) = 14 %.

Learn more about Probability and Prediction here:

https://brainly.com/question/31898117

#SPJ2

Help me!!!!!!!!!!!!!!!!

Answers

Answer:

105, because 50% means it is half or in the middle of the box graph

DO YOU KNOW YOUR GOVERNMENT? According to a recent study by the Annenberg Foundation, only 36% of adults in the U.S. Could name all three branches of government. This was based on a survey given to a random sample of 1416 U.S. Adults.

Answers

Final answer:

A study by the Annenberg Foundation shows a stark lack of knowledge about the Legislative, Executive, and Judicial branches of the U.S. government. Educational resources can help improve public understanding of these branches, which are pivotal for civic engagement and democratic processes.

Explanation:

The Annenberg Foundation study highlights a concerning lack of knowledge among the U.S. adult population regarding the basic structure of their government. Despite the importance of understanding the three branches of the U.S. government, which include the Legislative, Executive, and Judicial branches, a majority of adults struggle to identify all three.

The Legislative branch is responsible for making laws and is embodied in Congress, which is divided into the House of Representatives and the Senate. The Executive branch, headed by the President, is tasked with implementing and executing the laws passed by Congress. The Judicial branch, represented by the Supreme Court and other federal courts, interprets the laws and adjudicates legal disputes under the law.

Understanding these branches and their functions is critical for civic engagement and informed participation in democratic processes. Educational resources such as videos, games, and government websites can help improve civic knowledge and awareness of the structure and roles of government.

What is the domain of 6x+7/9x+2

Answers

Answer:

Domain of the function is (inf, -inf)

Step-by-step explanation:

I found the expected value for the number of boys for a family with five children to be 2.5. I must have made an error because a family with 2.5 boys cannot occur

Answers

Answer:

We are meant to round down fractions of persons to the nearest whole number possible

Step-by-step explanation:

Here we have the question with regards the result of a fraction of a person to a solution of a statistic question.

Where the result is a fraction, the format is, since most solutions to questions in statistics with regards to people pertain to the maximum amount of persons that fit a class, and since it is not technically feasible to account for the next half of the person after getting your result, we have to put down only the number of whole people possible which means as a rule we always round down the decimal or fractions  to the nearest whole number of person

Therefore, you are correct, only that we can put 2 instead of 2.5 as your answer.

The statement does not make sense because the expected value of 2.5 represents the average number

of boys for all the families with five children. In a​ five-child family, half the children are expected to be​ boys, so the expected value of 2.5 is consistent.

Alma and Blanca are playing a game where they roll a pair of fair six-sided dice and try to predict the outcomes. Blanca thinks that the probability of rolling a one and a five is greater than the probability of rolling a one or a five. Alma disagrees. She thinks that the probability of rolling a one or a five is greater.Who is correct, Alma or Blanca?

Answers

Answer:

Alma is correct because the probability of getting a five or a one is 1/9 compared to Blanca's which is 1/36

Step-by-step explanation:

Please refer to the attached image for explanations

Answer:

-Blanca is correct.

Step-by-step explanation:

Khan Academy

The following graph is not linear, exponential, or quadratic. Explain why.

Answers

Answer:

It is not linear because it isn't a straight line.It isn't exponential because it doesn't have a constant rate of change. It isn't a quadratic equation because it can't be made into a simple form.

Hope this helps:)

What is the equation of the line that passes through the point
(−3,1) and has a slope of -2

Answers

the question is y = -2x - 5

I need help asap :&$/)

Answers

The first onee
because you have to multiply the 3 by x &’ 5

Which of the following best describes a function? Select all that apply.
the graphed line overlaps itself
every input has exactly one output
the graph of the relation passes the vertical line test
the graph of the relation is a straight line
Help plz

Answers

Final answer:

A function is characterized by having every input paired with exactly one output and by its graph passing the vertical line test. The graph being a straight line or overlapping itself are not definitive characteristics of a function.

Explanation:

The following statements best describe a function:

Every input has exactly one output: This means that for every x-value there is only one y-value associated with it in a function. This is a fundamental characteristic of a function.The graph of the relation passes the vertical line test: If a graph passes the vertical line test, it means that a vertical line drawn at any x-position on the graph touches the graph at no more than one point. This confirms that each value of x has a unique y-value.

Not all functions have graphs that are straight lines, nor do their graphs necessarily overlap themselves. A graph can be a function even when it's not a straight line, and overlapping itself would violate the definition of a function where each input must have a unique output.

What is the surface area of the cube below?
A. 147 units2
B. 508 units2
C. 254 units2
D. 294 units2

Answers

Answer:

The answer is D

Step-by-step explanation:

Surface Area is the outside part of a shape. Opposite of Volume

To find the area of one side its L x H

So 7 x 7 = 49

Since all the sides of the cube are the same you don't need to figure out the area of the other sides

so 49 x 6 sides = 294

Answer:

SA =294 units^2

Step-by-step explanation:

The surface area of a cube is found by the following

SA = 6 s^2 where s is the side length

SA = 6* 7^2

SA = 6*49

SA =294 units^2

f(t) = t^2 - 5t; Find f(-8)

Answers

Answer:

f(-8) = 104

Step-by-step explanation:

f(t) = t^2 - 5t

Let t=-8

f(-8) = (-8)^2  -5(-8)

       = 64 +40

       = 104

Pls mark Brainliest.

Answer:

f(-8) = 104

Step-by-step explanation:

f(-8) = (-8)^2 - 5(-8)

f(-8) = 64 + 40

f(-8) = 104

Angie bought 15 paper tablecloths for $0.75 each. If the sales tax is 8.25%, how much did Angie spend altogether?

Answers

Answer:

$12.17

Step-by-step explanation:

15($0.75)=$11.25

8.25%--> 0.0825

$11.25(0.0825)= 92cents

$11.25 + $0.92= $12.17


What is the slope of each line?
Line A: y=-5x-2
Line B: Y=2x+ 3
O The slope of line A--5.
The slope of line B = 2.
O The slope of line A=-2.
The slope of line B = 3.
0. The slope of line A=5.
The slope of line B=-2
The slope of line A= 3.
The slope of line B=-2​

Answers

The slope of line a is -5, the slope of line b is 2.

Step-by-step explanation:

Answer:

Line A: -5

Line B: 2

Step-by-step explanation:

Hello!

Slope-Intercept Form: [tex]y = mx + b[/tex]

y = outputx = inputm = slopeb = y-intercept

Line A: y=-5x-2

The slope of this is the "m" value, so that would mean it would be -5.

Line B: Y=2x+ 3

The slope of this would be 2, as it is the "m" value in the equation.

The spinner is divided into 8 equal sections.

A spinner is split into 8 sections labeled blue, brown, green, red, purple, brown, green, yellow.

What is the probability of spinning G, green?
One-fourth
StartFraction 3 over 8 EndFraction
One-half
Three-fourths

Answers

Answer:

3/8.

Step-by-step explanation:

You didn't give the graph but I just took that test and got it right.

Answer:

B 3/8

Step-by-step explanation:

Billy and tommy are playing a dice game with a six sided dice. Billy needs to roll a 5 or higher to win the game. What is the probability that billy will rool a 5 or higher

Answers

The answer is 2/6 which would reduce to 1/3 because he could only roll a 5 or higher so he could only roll a 5 or a 6 which is 2 numbers out of 6. Which makes it 2/6 and 2/6 reduces to 1/3 !

The correct option is b) 1/3. Billy's probability of rolling a 5 or higher on a six-sided die is 0.333 or 33.33%.

Probability of Rolling a 5 or Higher

Billy needs to roll a 5 or higher on a six-sided die (with faces numbered 1 through 6) to win the game. Let's calculate the probability.

→ The possible outcomes that satisfy Billy's condition are 5 and 6. Therefore, there are 2 favorable outcomes.

The total number of possible outcomes when rolling a six-sided die is 6.

Calculation

→ Number of favorable outcomes: 2 (rolling a 5 or a 6)

Total possible outcomes: 6

→ Probability (P) = (Number of favorable outcomes) / (Total possible outcomes)

→ P(E) = 2 / 6

          = 1 / 3

          ≈ 0.333

Therefore, the probability that Billy will roll a 5 or higher to win the game is approximately 0.333 or 1/3.

The complete question is:

Billy and Tommy are playing a dice game with a six-sided die. Billy needs to roll a 5 or higher to win the game. What is the probability that Billy will roll a 5 or higher?

a) 1/2

b) 1/3

c) 2/3

d) 1/6

Other Questions
UNIDAD 6EL GERUNDIO Y LAS PROFESIONES. GUIA DE ESTUDIOAbril 16 de 20201. Encierre en un crculo si la oracin es cierta (C) o falsa (F). ( Mark if this sentences aretrue (C) or false (F).a. Si eres un ingeniero, casi nunca trabajas con una computadorab. Si quieres ser fotgrafo, tienes que tener una buena cmarac. Si quieres ser abogado, necesitas tener una oficinad. Si quieres ser un atleta profesional, no tienes que comer biene. Si quieres ser secretario, tienes que hacer mucho deporteF. Si quieres ser mdico, no necesitas estudiar What is the wavelength in nm of a light whose first order bright band forms adiffraction angle of 30 degrees, and the diffraction grating has 700 lines permm? (give answer in whole number format) * A pizza deliverer who is in an accident while en route to deliver a pizza for a restaurant has: a. no liability for the accident. b. the only liability for the accident if he was driving his own car. c. liability along with the restaurant for the accident. d. none of the above The titanium content in an aircraft-grade alloy is an important determinant of strength. A sample of 20 test coupons reveals the following titanium content (in percent). 8.32 8.05 8.93 8.65 8.25 8.46 8.52 8.35 8.36 8.41 8.42 8.30 8.71 8.75 8.60 8.83 8.50 8.38 8.29 8.46 Use the normal approximation for the sign test to test the claim that the median titanium content is equal to 8.5%. Use =0.05. Calculate the observed number of plus differences. r+= Enter your answer; r+ Calculate to 2 decimal places the test statistic. z0= Enter your answer; z0 Calculate to 3 decimal places the P-value. P-value = Enter your answer; P-value H0 : =8.5 versus H1: 8.5. Conclusion: Choose your answer; Conclusion HELP PLZ WILL GIVE BRAINLIESTWhat are the benefits of online note-taking tools? Check all that apply. A. They are easy to use and understand. B. Only one student has access to the notes. C. They let students share information. D. They allow students to take notes quickly. E. Students can store notes in a central location. F. They guarantee students will get good grades. Two rigid rods are oriented parallel to each other and to the ground. The rods carry the same current in the same direction. The length of each rod is 1.1 m, while the mass of each is 0.11 kg. One rod is held in place above the ground, and the other floats beneath it at a distance of 8.3 mm. Determine the current in the rods. Which continent has the most countries with GDPs below $100 billion?THEREO AfricaO EuropeNorth AmericaO South AmericaTHE What are the two most common reasons for modifying the land in South and Southeast Asia?I will give brainiest to first answer What mountain range forms the italian peninsulas northern border? What are important components of a strong conclusion? Check all that apply. A. a restatement of your claimB. a brief summary of your reasonsC. a summary of each piece of evidenceD. a counterclaim and a rebuttalE. a statement that calls your reader to action The size of an engine is called the engineA. bore.B. stroke.C. displacement.D. mass. Twenty eight is 40% of If g^2+1/g^2=51, find the positive value of g-1/g What is the poems theme or central idea? How does the author use of figurative language or other poetic devices and what effect do those have on the poem? How would you describe the tone of the poem? How would you describe the structure or organization of the poem? The poem is "Work without hope" When 100.g Mg3N2 reacts with 75.0 g H2O, what is the maximum theoretical yield of NH3?Mg3N2(s) + 6H2O (l) 3Mg(OH)2(aq) + 2NH3(g)Answer choices:1280 g70.8 g213 g23.6 g25.0 g Which studies most likely cause controversy in society? Check all that apply.A-Scientists observe the behavior of a cloned animal.B-Scientists discover how to create organs with stem cells,C-Scientists report a new therapy used to treat heart disease.D-Scientists examine the contribution of wind erosion to landslides.E-Scientists explain the benefits of oil drilling over wind technologies Ventaz corp manufactures small windows for back yard sheds. historically, its demand has ranged from 30 to 50 windows per day with an average of 42. alex is the one production worker and he works eight hours a day, five days a week. each order is one window and each window takes 5 minutes. alex plans to add doors to its product line and anticipates that they will average 4 doors per day. each door takes 540 minutes to install. what is the average waiting time, in minutes, if alex continues to be the only worker? If 5^3b-1 = 5^b-3 what is the value of b? 7.37 For the net cash flow series, (a) determine the number of possible i* values using the two sign tests, (b) find the EROR using the MIRR method with an investment rate of 20% per year and a borrowing rate of 10% per year, and (c) use the MIRR function to find the EROR. Which of the following BEST states a theme of the soliloquy in hamlet?