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What is the width of the rectangle?, algebra homework help
The Area of a rectangle is represented by x^4 - y^4 / 8xy and its length is represented by x^2 - y^2 / 2xyWhat is th ...
What is the width of the rectangle?, algebra homework help
The Area of a rectangle is represented by x^4 - y^4 / 8xy and its length is represented by x^2 - y^2 / 2xyWhat is the width of the rectangle?If you double the length of the rectangle but keep the same width, what is the new area of the rectangle?2. Consider the following expression: (1 / x-4) - (3x / x^2 -16)Subtract the rational expressionsGiven the equation (1 / x-4) - (3x / x^2 -16) = 2 / x + 4 solve the equation using your solution from part a.Solve the equation (1 / x - 4) - (3x / x^2 -16) = 2 / x + 4 using LCD.Compare the methods used to solve the equation in parts c and d. Which method do you think is better and why?3. The average cost of electricity used for an 18 cubic ft. refrigerator that is 10 years old is $128 per year. A new refrigerator the same size costs about $81 per year for electricity. (Source: https://www.efficiencyvermont.com)Suppose a new refrigerator costs $500. Determine the total cost of having either refrigerator for 12 years, assuming the only costs associated with the refrigerator are its purchase cost and electricity.Determine the total annual cost for a new refrigerator that lasts 12 years, assuming the only costs associated with the refrigerator are its purchase cost and electricity.Write a function that gives the annual cost of a new refrigerator as a function of the number of years you own the refrigerator.What are the asymptotes of the rational function in part d? What does the horizontal asymptote mean in the context of this problem?Sketch the graph of the rational function from part c.If you plan on owning your refrigerator for 12 years, would it be more cost effective to keep your old refrigerator or purchase a new one? Explain.
Platonic Solid Discussion
YOUR ASSIGNMENT: Solid ArtYour selectionsYou meet an artist who makes sculptures out of Platonic solids. Being an excellen ...
Platonic Solid Discussion
YOUR ASSIGNMENT: Solid ArtYour selectionsYou meet an artist who makes sculptures out of Platonic solids. Being an excellent geometer who knows how to use nets to create solid figures, you are intrigued and want to make your own models.1. Which combined solid did you select? (Circle one.) (1 point)Left: Icosahedron with tetrahedronsRight: Octahedron with tetrahedronsConstruct the modelsNets are two-dimensional patterns that fold into 3-dimensional shapes, so they are a great tool for analyzing and constructing solids. Use the tetrahedron, octahedron and the icosahedron tools to help you examine each shape more closely, and to practice folding each net into a solid.2. Using the link on the activity page, cut out each net. Fold and tape each net into a three-dimensional solid. Your solids do not need to be perfect. (9 points: 3 points for each solid)3. Identify each solid. Hint: count the number of faces you can see. (6 points: 1 point for each blank)Solid 1: number of faces:_____ name of solid: _____ Solid 2: number of faces:_____name of solid: _____ Solid 3: number of faces:_____name of solid: _____ Your solid4. Look at the polyhedron that you chose at the beginning. Which two solids do you need to create your polyhedron? How many of each solid do you need?Answer for your polyhedron. Hint: Each tetrahedron will cover one face of the other solid. (4 points: 1 point for each blank)Polyhedron 1: Solid:_____ Number: _____ Solid:_____ Number: _____ Polyhedron 2: Solid:_____ Number: _____ Solid:_____ Number: _____
Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
2.5.1 Practice: AssignmentAnswer the following questions using what you've learned from this unit. Write your responses in ...
Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
2.5.1 Practice: AssignmentAnswer the following questions using what you've learned from this unit. Write your responses in the space provided.Scoring: Each correct answer is worth 1 point. Where calculations are needed to find the answer, you must show your work to receive credit.For questions 1 – 7, use the data in the table to answer the probability questions.Franklin High School wanted to see if more boys than girls participated in school sports. A random survey of high school students was conducted, and the results are shown below:NUMBER OF STUDENTSParticipate in school sportsDo not participate in school sportsTotalsMale110180290Female100110210Total2102905001. If a student is chosen at random from those who participated in the survey, what is the probability that the student is a male?Answer choices:0.290.210.580.422. If a student is chosen at random from those who participated in the survey, what is the probability that the student is a male and participates in school sports?Answer choices:0.220.3790.5240.623. If a student is chosen at random from those who participated in the survey, what is the probability that the student participates in sports?Answer choices:0.3790.420.5240.584. If a student is chosen at random from those who participated in the survey, what is the probability that the student participates in school sports, given that the student is a male?Answer choices:0.3790.4760.5240.6215. If a student is chosen at random from those who participated in the survey, what is the probability that the student is male, given that the student participates in sports?Answer choices:0.3790.420.5240.586. To determine whether participating in sports and being male are independent events, which of the given probabilities should you compare? Select two choices.Answer choices:P(participate in sports)P(don't participate in sports)P(male)P(male|don't participate in sports)P(participate in sports|male)P(don't participate in sports|male)7. Are participating in sports and being male independent events?Answer choices:Yes. The probabilities are the same.Yes. The probabilities are different.No. The probabilities are the same.No. The probabilities are different.For questions 8 – 10, use the data in the table to answer the probability questions.A swim coach is deciding which of five swimmers she should put in the free relay at the championship meet, and who should anchor. Each swimmer's best time for 50 yards is between 29 and 30 seconds. To decide, the coach compares how many competitive swims were under 30 seconds. The swimmer who is least likely to swim under 30 seconds will be the alternate, and the swimmer most likely to swim under 30 seconds will be the anchor.Regular SeasonNumber of swims under 30 secondsTotal number of swimsCarson69Ellis1012Prestin811Ryan710Zach10138. Complete the table to identify the probability that each swimmer can swim 50 yards in under 30 seconds during a regular season meet. Enter probabilities as decimals, rounded to two decimal places.Probability of swimming 50 yards in under 30 secondsCarson Ellis Prestin Ryan Zach 9. Which swimmer should the coach choose as alternate?Answer choices:CarsonEllisPrestinRyanZach10. Which swimmer should the coach choose as anchor?Answer choices:CarsonEllisPrestinRyanZachFor questions 11 – 13, use the data in the table to answer the probability questions.Jean is going to pick up treats for a meeting. To make sure she gets back in time, she plans to choose the store that is most likely to have parking nearby and short lines. She estimates the probability of these for two nearby stores. Assume available parking and line lengths are independent.Store AStore BProbability of getting a close parking space0.90.8Probability that lines are short0.750.9511. What is the probability that Jean will find a close parking space and short lines at store A?Answer choices:0.6750.7130.720.7612. What is the probability that Jean will find a close parking space and short lines at store B?Answer choices:0.6750.7130.720.7613. Which store should Jean choose to maximize the probability of finding a nearby parking space and getting in a short line?Answer choices:Store AStore BIt doesn't matter.It can't be determined.For questions 14 – 15, identify the probability for each random number assignment.14. In a randomly generated list of numbers from 0 to 8, what is the probability that each number will occur?Answer choices:\frac{1}{7}71\frac{1}{8}81\frac{1}{9}91\frac{1}{80}80115. A randomly generated list of numbers from 0 to 7 is being used to simulate an event, with the numbers 0 and 1 representing a success. What is the estimated probability of a success?Answer choices:20%25%28.6%33.3%For questions 16 – 20, use the random numbers given and the information in the question to assign numbers and estimate the probability of there being at least one left-handed person in a group of five people.623490244021460709431750694266251090127433656116753938036947692359365436711270487941516204510222785016. About 10 percent of people are left-handed. Using single digits, which would be a correct method of assigning digits?Answer choices:Left-handed: 1; right-handed: 2 – 9Left-handed: 1; right-handed: 2 – 10Left-handed: 0; right-handed: 1 – 9Left-handed: 0; 1 right-handed: 2 – 917. How many trials were included in the simulation?Answer choices:5102010018. Using 0 to represent a left-handed person, how many trials included at least one left-handed person?Answer choices:59111219. What is the estimated probability that there is at least one left-handed person in a group of five people?Answer choices:11%22%50%55%20. If you want to increase the likelihood that your estimated probability is close to the actual probability, what should you do?Answer choices:Change the assignment of digits.Increase the number of trials from 20 to 50.Decrease the number of trials from 20 to 10.Decrease the size of the random number groups from five digits to two.
Top-Three Concepts or Skills
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What is the width of the rectangle?, algebra homework help
The Area of a rectangle is represented by x^4 - y^4 / 8xy and its length is represented by x^2 - y^2 / 2xyWhat is th ...
What is the width of the rectangle?, algebra homework help
The Area of a rectangle is represented by x^4 - y^4 / 8xy and its length is represented by x^2 - y^2 / 2xyWhat is the width of the rectangle?If you double the length of the rectangle but keep the same width, what is the new area of the rectangle?2. Consider the following expression: (1 / x-4) - (3x / x^2 -16)Subtract the rational expressionsGiven the equation (1 / x-4) - (3x / x^2 -16) = 2 / x + 4 solve the equation using your solution from part a.Solve the equation (1 / x - 4) - (3x / x^2 -16) = 2 / x + 4 using LCD.Compare the methods used to solve the equation in parts c and d. Which method do you think is better and why?3. The average cost of electricity used for an 18 cubic ft. refrigerator that is 10 years old is $128 per year. A new refrigerator the same size costs about $81 per year for electricity. (Source: https://www.efficiencyvermont.com)Suppose a new refrigerator costs $500. Determine the total cost of having either refrigerator for 12 years, assuming the only costs associated with the refrigerator are its purchase cost and electricity.Determine the total annual cost for a new refrigerator that lasts 12 years, assuming the only costs associated with the refrigerator are its purchase cost and electricity.Write a function that gives the annual cost of a new refrigerator as a function of the number of years you own the refrigerator.What are the asymptotes of the rational function in part d? What does the horizontal asymptote mean in the context of this problem?Sketch the graph of the rational function from part c.If you plan on owning your refrigerator for 12 years, would it be more cost effective to keep your old refrigerator or purchase a new one? Explain.
Platonic Solid Discussion
YOUR ASSIGNMENT: Solid ArtYour selectionsYou meet an artist who makes sculptures out of Platonic solids. Being an excellen ...
Platonic Solid Discussion
YOUR ASSIGNMENT: Solid ArtYour selectionsYou meet an artist who makes sculptures out of Platonic solids. Being an excellent geometer who knows how to use nets to create solid figures, you are intrigued and want to make your own models.1. Which combined solid did you select? (Circle one.) (1 point)Left: Icosahedron with tetrahedronsRight: Octahedron with tetrahedronsConstruct the modelsNets are two-dimensional patterns that fold into 3-dimensional shapes, so they are a great tool for analyzing and constructing solids. Use the tetrahedron, octahedron and the icosahedron tools to help you examine each shape more closely, and to practice folding each net into a solid.2. Using the link on the activity page, cut out each net. Fold and tape each net into a three-dimensional solid. Your solids do not need to be perfect. (9 points: 3 points for each solid)3. Identify each solid. Hint: count the number of faces you can see. (6 points: 1 point for each blank)Solid 1: number of faces:_____ name of solid: _____ Solid 2: number of faces:_____name of solid: _____ Solid 3: number of faces:_____name of solid: _____ Your solid4. Look at the polyhedron that you chose at the beginning. Which two solids do you need to create your polyhedron? How many of each solid do you need?Answer for your polyhedron. Hint: Each tetrahedron will cover one face of the other solid. (4 points: 1 point for each blank)Polyhedron 1: Solid:_____ Number: _____ Solid:_____ Number: _____ Polyhedron 2: Solid:_____ Number: _____ Solid:_____ Number: _____
Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
2.5.1 Practice: AssignmentAnswer the following questions using what you've learned from this unit. Write your responses in ...
Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
2.5.1 Practice: AssignmentAnswer the following questions using what you've learned from this unit. Write your responses in the space provided.Scoring: Each correct answer is worth 1 point. Where calculations are needed to find the answer, you must show your work to receive credit.For questions 1 – 7, use the data in the table to answer the probability questions.Franklin High School wanted to see if more boys than girls participated in school sports. A random survey of high school students was conducted, and the results are shown below:NUMBER OF STUDENTSParticipate in school sportsDo not participate in school sportsTotalsMale110180290Female100110210Total2102905001. If a student is chosen at random from those who participated in the survey, what is the probability that the student is a male?Answer choices:0.290.210.580.422. If a student is chosen at random from those who participated in the survey, what is the probability that the student is a male and participates in school sports?Answer choices:0.220.3790.5240.623. If a student is chosen at random from those who participated in the survey, what is the probability that the student participates in sports?Answer choices:0.3790.420.5240.584. If a student is chosen at random from those who participated in the survey, what is the probability that the student participates in school sports, given that the student is a male?Answer choices:0.3790.4760.5240.6215. If a student is chosen at random from those who participated in the survey, what is the probability that the student is male, given that the student participates in sports?Answer choices:0.3790.420.5240.586. To determine whether participating in sports and being male are independent events, which of the given probabilities should you compare? Select two choices.Answer choices:P(participate in sports)P(don't participate in sports)P(male)P(male|don't participate in sports)P(participate in sports|male)P(don't participate in sports|male)7. Are participating in sports and being male independent events?Answer choices:Yes. The probabilities are the same.Yes. The probabilities are different.No. The probabilities are the same.No. The probabilities are different.For questions 8 – 10, use the data in the table to answer the probability questions.A swim coach is deciding which of five swimmers she should put in the free relay at the championship meet, and who should anchor. Each swimmer's best time for 50 yards is between 29 and 30 seconds. To decide, the coach compares how many competitive swims were under 30 seconds. The swimmer who is least likely to swim under 30 seconds will be the alternate, and the swimmer most likely to swim under 30 seconds will be the anchor.Regular SeasonNumber of swims under 30 secondsTotal number of swimsCarson69Ellis1012Prestin811Ryan710Zach10138. Complete the table to identify the probability that each swimmer can swim 50 yards in under 30 seconds during a regular season meet. Enter probabilities as decimals, rounded to two decimal places.Probability of swimming 50 yards in under 30 secondsCarson Ellis Prestin Ryan Zach 9. Which swimmer should the coach choose as alternate?Answer choices:CarsonEllisPrestinRyanZach10. Which swimmer should the coach choose as anchor?Answer choices:CarsonEllisPrestinRyanZachFor questions 11 – 13, use the data in the table to answer the probability questions.Jean is going to pick up treats for a meeting. To make sure she gets back in time, she plans to choose the store that is most likely to have parking nearby and short lines. She estimates the probability of these for two nearby stores. Assume available parking and line lengths are independent.Store AStore BProbability of getting a close parking space0.90.8Probability that lines are short0.750.9511. What is the probability that Jean will find a close parking space and short lines at store A?Answer choices:0.6750.7130.720.7612. What is the probability that Jean will find a close parking space and short lines at store B?Answer choices:0.6750.7130.720.7613. Which store should Jean choose to maximize the probability of finding a nearby parking space and getting in a short line?Answer choices:Store AStore BIt doesn't matter.It can't be determined.For questions 14 – 15, identify the probability for each random number assignment.14. In a randomly generated list of numbers from 0 to 8, what is the probability that each number will occur?Answer choices:\frac{1}{7}71\frac{1}{8}81\frac{1}{9}91\frac{1}{80}80115. A randomly generated list of numbers from 0 to 7 is being used to simulate an event, with the numbers 0 and 1 representing a success. What is the estimated probability of a success?Answer choices:20%25%28.6%33.3%For questions 16 – 20, use the random numbers given and the information in the question to assign numbers and estimate the probability of there being at least one left-handed person in a group of five people.623490244021460709431750694266251090127433656116753938036947692359365436711270487941516204510222785016. About 10 percent of people are left-handed. Using single digits, which would be a correct method of assigning digits?Answer choices:Left-handed: 1; right-handed: 2 – 9Left-handed: 1; right-handed: 2 – 10Left-handed: 0; right-handed: 1 – 9Left-handed: 0; 1 right-handed: 2 – 917. How many trials were included in the simulation?Answer choices:5102010018. Using 0 to represent a left-handed person, how many trials included at least one left-handed person?Answer choices:59111219. What is the estimated probability that there is at least one left-handed person in a group of five people?Answer choices:11%22%50%55%20. If you want to increase the likelihood that your estimated probability is close to the actual probability, what should you do?Answer choices:Change the assignment of digits.Increase the number of trials from 20 to 50.Decrease the number of trials from 20 to 10.Decrease the size of the random number groups from five digits to two.
Top-Three Concepts or Skills
Provide a rationale
as to why the three (3) aforementioned concepts or skills are important to
someone in the ...
Top-Three Concepts or Skills
Provide a rationale
as to why the three (3) aforementioned concepts or skills are important to
someone in the field of business statistics.
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