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Scenario T Test Analysis
1. As an international development researcher, you would like to know African Citizen’s perceptions about current levels ...
Scenario T Test Analysis
1. As an international development researcher, you would like to know African Citizen’s perceptions about current levels of democracy. Your working ...
1 page
Math Ass
30) During the 1998-1999 Little League season, the Tigers played 57 games. They lost 21 more games than they won. How many ...
Math Ass
30) During the 1998-1999 Little League season, the Tigers played 57 games. They lost 21 more games than they won. How many games did they win that ...
Describe the statistical test and the reason for using it.
Instructions You are responsible for analyzing the results of a study comparing two ulcer therapies involving 43 participa ...
Describe the statistical test and the reason for using it.
Instructions You are responsible for analyzing the results of a study comparing two ulcer therapies involving 43 participants. Here is the data output from a t-test analysis:The study compares two ulcer therapies (A and B) with three variables: time of last visit in months, age in years and duration of disease. Write a persuasive report type essay.Describe the statistical test and the reason for using it. Briefly describe the summary statistics of the participants. What conclusions can you draw and what recommendations could you provide based on this information?In your analysis, and before providing your recommendations, please consider:● group statistics● the independent-samples t test● homogeneity of variance● probability that null hypothesis is correct● t test limitationsJustify your recommendations based on your data analysis. Include specific reasons for each recommendation. Requirements● This paper should have at least 2 full pages, not including the title page or references.● This paper must follow APA formatting and citation guidelines, including:o Title page and Reference pageo Essay should be double spacedo Use Times New Roman font, size 12● All references should come from credible sources.● Includes a highly developed viewpoint and purpose● Organize your paper with subheadings (the writing should be well ordered, logical, and unified, as well as original and insightful.)● The Assignment should follow the conventions of Standard American English (correct grammar, punctuation, and spelling).
Analysis with Correlation and Regression Presentation
Determine and interpret the linear correlation coefficient, and use linear regression to find a best fit line for a scatte ...
Analysis with Correlation and Regression Presentation
Determine and interpret the linear correlation coefficient, and use linear regression to find a best fit line for a scatter plot of the data and make predictions.ScenarioAccording to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the Greater Bay Area is 63%, about 2 out of 3, in the next 30 years. In April 2008, scientists and engineers released a new earthquake forecast for the State of California called the Uniform California Earthquake Rupture Forecast (UCERF).As a junior analyst at the USGS, you are tasked to determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and depths from the earthquakes. Your deliverables will be a PowerPoint presentation you will create summarizing your findings and an excel document to show your work.Concepts Being StudiedCorrelation and regressionCreating scatterplotsConstructing and interpreting a Hypothesis Test for Correlation using r as the test statisticYou are given a spreadsheet that contains the following information:Magnitude measured on the Richter scaleDepth in kmUsing the spreadsheet, you will answer the problems below in a PowerPoint presentation.What to SubmitThe PowerPoint presentation should answer and explain the following questions based on the spreadsheet provided above.Slide 1: Title slideSlide 2: Introduce your scenario and data set including the variables provided.Slide 3: Construct a scatterplot of the two variables provided in the spreadsheet. Include a description of what you see in the scatterplot.Slide 4: Find the value of the linear correlation coefficient r and the critical value of r using α = 0.05. Include an explanation on how you found those values.Slide 5: Determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and the depths from the earthquakes. Explain.Slide 6: Find the regression equation. Let the predictor (x) variable be the magnitude. Identify the slope and the y-intercept within your regression equation.Slide 7: Is the equation a good model? Explain. What would be the best predicted depth of an earthquake with a magnitude of 2.0? Include the correct units.Slide 8: Conclude by recapping your ideas by summarizing the information presented in context of the scenario.Along with your PowerPoint presentation, you should include your Excel document which shows all calculations.
pre algebra part 2
Question 1 (5 points)
Prices for the salad bar at some local restaurants are $8.95, $6.50, $12.25, $9.90, $11.00, $8.95, $ ...
pre algebra part 2
Question 1 (5 points)
Prices for the salad bar at some local restaurants are $8.95, $6.50, $12.25, $9.90, $11.00, $8.95, $10.75, and $6.50. Find the mean, median, and mode.
Question 1 options:
$9.35, $9.43, $6.50 and $8.95
$9.35, $10.45, no mode
$9.89, $9.43, $8.95
$9.89, $10.45, $6.50, and $8.95
Question 2 (5 points)
The spinner shown at right is spun once. Determine the probability of each outcome. Express each probability as a fraction and as a percent. Then describe the likelihood of the event. Write impossible, unlikely, equally likely, likely, or certain.
P(odd)Question 2 options:
; likely
; equally likely
; impossible
; certain
Question 3 (5 points)
Identify the sample as biased or unbiased and describe its type.
Tia surveyed every third house in the locality to determine the number of people who own pets.Question 3 options:
unbiased, simple random sample
biased, voluntary response sample
unbiased, systematic random sample
biased, convenience sample
Question 4 (5 points)
Find the median of the following set of data. Round to the nearest tenth if necessary.
26.1, 8.4, 11.4, 44.1, 32.3, 46, 41, 18.5, 20, 9.3, 19.6Question 4 options:
32.3
20
26.1
25.2
Question 5 (5 points)
Before starting a summer jobs program, the school board conducted a survey at various schools. They interviewed 30% of the high school students to know whether they would participate in the program. The results are shown in the graph.
Is this sampling method valid? If so, how many of 750 students of various high schools are likely to participate in this program?
Question 5 options:
no, 125
yes, 125
no, 625
yes, 625
Question 6 (5 points)
A number cube is tossed and the spinner below is spun. Find P(3 and C).
Question 6 options:
Question 7 (5 points)
Matthew has 8 dimes and 10 quarters in a box. Find the probability of drawing a dime.
Question 7 options:
Question 8 (5 points)
In baseball, Shintaro had 4 hits in his last 12 times at bat.
If Shintaro has 36 at bats in the next week, about how many hits will he have?Question 8 options:
24
12
10
9
Question 9 (5 points)
Find the mean of each set of data. Round to the nearest tenth if necessary.
14, 39, 27, 17, 17, 25, 10, 37Question 9 options:
23.3
21.3
24.8
21
Question 10 (5 points)
The table shows the number of campsite reservations at two different state parks over the past 10 weekends.
Number of Campsite Reservations
East Fork
32
36
39
39
43
45
50
51
56
80
Blue Ridge
38
40
45
47
51
52
60
62
69
73
Are there any outliers in the data for either state park? Question 10 options:
The data points 56 and 80 reservations are outliers for East Fork.
The data point 38 reservations is an outlier for Blue Ridge.
The data point 80 reservations is an outlier for East Fork.
There are no outliers.
Question 11 (5 points)
Find the range for the set of data.
101, 72, 115, 114, 117, 56, 101, 68, 111, 58, 51, 51, 90Question 11 options:
64
85
66
90
Question 12 (5 points)
Find the probability.
A marble is randomly selected from a bag containing 15 black, 12 white, and 6 clear marbles. Find P(not clear). Round to the nearest percent if necessary.
Question 12 options:
18%
82%
64%
55%
Question 13 (5 points)
Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data.
14.6, 28.1, 3.9, 7.1, 5.3, 30.9, 2.8, 6.5, 20.8, 16.4, 16.4, 27.1, 53.5, 12.5, 6.1 Question 13 options:
median: 14.6, Q1: 6.1, Q3: 27.1, IR: 21, outliers: none
median: 14.6, Q1: 6.1, Q3: 27.1, IR: 20, outliers: none
median: 14.6, Q1: 6.1, Q3: 27.1, IR: 21, outliers: 2.8
median: 14.6, Q1: 6.1, Q3: 25.1, IR: 21, outliers: none
Question 14 (5 points)
Nina’s quiz scores for the quarter are 90, 79, 5, 84, 95, 81, 87, and 94. Which measure of central tendency best represents the data shown in the table and why?
Question 14 options:
Since the data have many repeated values, the mode best represents the data.
Since there is an extreme value (5) and there are no big gaps in the middle of the data, the median best represents the data.
Since there are no extreme values, the mean best represents the data.
Since there are no extreme values and few repeated numbers, the median best represents the data.
Question 15 (5 points)
The frequency table shows Sam’s record in swimming.
Year
Number of medals
2008
6
2009
4
2010
1
2012
7
2013
4
Based on this record, what is the probability of picking up a medal won by him in the years 2009 or 2012.
Question 15 options:
2
Question 16 (5 points)
Lionel is apartment hunting. He makes a table of prospective apartment choices.
Apartment Rental PricesApartment ChoicePrice per Month ($)1630275536754765569066807675
Which measure of central tendency best represents the data shown in the table and why?
Question 16 options:
Since the data is grouped close together, the mode best represents the data.
Since there are no extreme values, the median best represents the data.
Since there are no extreme values and few repeated numbers, the mean best represents the data.
Since the value 675 occurs more than once, the mode best represents the data.
Question 17 (5 points)
The table shows the number of points scored by each team in a tournament.
Number of Points Scored
12
25
16
20
31
16
19
22
Find the mean absolute deviation of the number of points scored. Round to the nearest hundredth if necessary.
Question 17 options:
4.41
16
20.13
35.26
Question 18 (5 points)
Find the mode of each set of data.
33, 19, 15, 39, 39, 34, 24, 29Question 18 options:
31
29
32
39
Question 19 (5 points)
Find the probability.
A bag of sweets contains 20 gummy bears and 35 orange slices. One sweet is taken at random from the bag. Find P(gummy bear).Question 19 options:
Question 20 (5 points)
Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data.
111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112 Question 20 options:
median: 102, Q1: 87, Q3: 113, IR: 28, outliers: none
median: 102, Q1: 87, Q3: 115, IR: 28, outliers: 68
median: 102, Q1: 87, Q2: 115, IR: 28, outliers: none
median: 102, Q1: 87, Q3: 115, IR: 27, outliers: none
Submit Quiz0 of 20 questions saved
MAC2105 College Algebra Week 4
Need assistance in completing week 4. There is multiple classwork that needs to be completed. This includes week 4 weekly ...
MAC2105 College Algebra Week 4
Need assistance in completing week 4. There is multiple classwork that needs to be completed. This includes week 4 weekly summary (10 Question answer with steps on how you found the answer). There is week 4 Summary as well as 3 other exams as well.All work has is found and completed on my student portal website. Access will be provided to you.Week 4 Weekly SummaryWhen posting here in the Weekly Summary section please do not post "answers only" but rather show how you obtained your answers in a step by step manner. If your solution is correct, it is in your best interest for us to see how you obtained the answer. If your solution is incorrect, showing your steps will help us to follow your process and we can then work together to find your mistake.No bonus points will be awarded for answers without explanations.A maximum of 5 bonus points will be awarded for 5 correct answers with step by step explanations.The weekly summary answers and explanations will be posted in the Announcement section by Friday of each week. Please try to work each problem without pasting and copying or you will defeat your purpose of learning. Credit will only be given for "original" work. Please feel free to study the explanations, learn the problem, and create your own step-by-step explanation for bonus points . You may post your explanations throughout the term (please remind your instructor in the General Questions thread to grade your problems if you have posted after Sunday).Solve the following equation for n:n/4 - 5/6 = 5/12Solve the following equation for x:2x/3 - 4x/5 = 1/15Solve the following equation for x: 9/(4x) + 1/3 = 5/(2x)Solve the following equation for x:|5x-7| = 14Hint: This absolute value equation will turn into 2 linear equations, so there will be two solutions!Solve the following system of linear equations: 2x + 3y = -5 -2x + y = 9 6. Solve for (x, y, z), if there is a solution to the given system of linear equations: - x + 2y + 3z = 0 3x - 2y - 2z = 5 4x + y - 3z = -9 7 . Solve: x2 - 4x + 5 = 0. 8, Add the complex numbers: (5 – 2i) + (1 + 6i) 9. Subtract the complex numbers: (4+3i) - (6+i). 10. Multiply the complex numbers (4+3i) (6+i).Week 4 Algebra Talk Many students have often asked questions such as: Why do I need to learn Mathematics? Where and when am I going to use it in my life?Now that you are almost done with this College Algebra class, can you now explain why it is important for everyone to learn Mathematics? Can you also give examples on when, where, and how you have used and are using Mathematics in your everyday life?Please give examples and feel free to include: budgeting, investing, traveling, locating, securing personal informations, spending, saving, investing, measuring, cooking, etc.EXAMPLE: Hello! Math is an everyday tool that I use in everything I do. Math is important because it helps me take care of everything I need to on a daily basis. I was able to calculate how much money I would save for the year after doing my monthly budgets. I was able to figure out the distance, mileage, time, and how much it would cost to drive from Florida to New York last month. Then I was able point out the exact location of my final destination on a map. "The great book of nature can be read only by those who know the language in which it was written. And that language is mathematics". Galileo
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6 pages
Scenario T Test Analysis
1. As an international development researcher, you would like to know African Citizen’s perceptions about current levels ...
Scenario T Test Analysis
1. As an international development researcher, you would like to know African Citizen’s perceptions about current levels of democracy. Your working ...
1 page
Math Ass
30) During the 1998-1999 Little League season, the Tigers played 57 games. They lost 21 more games than they won. How many ...
Math Ass
30) During the 1998-1999 Little League season, the Tigers played 57 games. They lost 21 more games than they won. How many games did they win that ...
Describe the statistical test and the reason for using it.
Instructions You are responsible for analyzing the results of a study comparing two ulcer therapies involving 43 participa ...
Describe the statistical test and the reason for using it.
Instructions You are responsible for analyzing the results of a study comparing two ulcer therapies involving 43 participants. Here is the data output from a t-test analysis:The study compares two ulcer therapies (A and B) with three variables: time of last visit in months, age in years and duration of disease. Write a persuasive report type essay.Describe the statistical test and the reason for using it. Briefly describe the summary statistics of the participants. What conclusions can you draw and what recommendations could you provide based on this information?In your analysis, and before providing your recommendations, please consider:● group statistics● the independent-samples t test● homogeneity of variance● probability that null hypothesis is correct● t test limitationsJustify your recommendations based on your data analysis. Include specific reasons for each recommendation. Requirements● This paper should have at least 2 full pages, not including the title page or references.● This paper must follow APA formatting and citation guidelines, including:o Title page and Reference pageo Essay should be double spacedo Use Times New Roman font, size 12● All references should come from credible sources.● Includes a highly developed viewpoint and purpose● Organize your paper with subheadings (the writing should be well ordered, logical, and unified, as well as original and insightful.)● The Assignment should follow the conventions of Standard American English (correct grammar, punctuation, and spelling).
Analysis with Correlation and Regression Presentation
Determine and interpret the linear correlation coefficient, and use linear regression to find a best fit line for a scatte ...
Analysis with Correlation and Regression Presentation
Determine and interpret the linear correlation coefficient, and use linear regression to find a best fit line for a scatter plot of the data and make predictions.ScenarioAccording to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the Greater Bay Area is 63%, about 2 out of 3, in the next 30 years. In April 2008, scientists and engineers released a new earthquake forecast for the State of California called the Uniform California Earthquake Rupture Forecast (UCERF).As a junior analyst at the USGS, you are tasked to determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and depths from the earthquakes. Your deliverables will be a PowerPoint presentation you will create summarizing your findings and an excel document to show your work.Concepts Being StudiedCorrelation and regressionCreating scatterplotsConstructing and interpreting a Hypothesis Test for Correlation using r as the test statisticYou are given a spreadsheet that contains the following information:Magnitude measured on the Richter scaleDepth in kmUsing the spreadsheet, you will answer the problems below in a PowerPoint presentation.What to SubmitThe PowerPoint presentation should answer and explain the following questions based on the spreadsheet provided above.Slide 1: Title slideSlide 2: Introduce your scenario and data set including the variables provided.Slide 3: Construct a scatterplot of the two variables provided in the spreadsheet. Include a description of what you see in the scatterplot.Slide 4: Find the value of the linear correlation coefficient r and the critical value of r using α = 0.05. Include an explanation on how you found those values.Slide 5: Determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and the depths from the earthquakes. Explain.Slide 6: Find the regression equation. Let the predictor (x) variable be the magnitude. Identify the slope and the y-intercept within your regression equation.Slide 7: Is the equation a good model? Explain. What would be the best predicted depth of an earthquake with a magnitude of 2.0? Include the correct units.Slide 8: Conclude by recapping your ideas by summarizing the information presented in context of the scenario.Along with your PowerPoint presentation, you should include your Excel document which shows all calculations.
pre algebra part 2
Question 1 (5 points)
Prices for the salad bar at some local restaurants are $8.95, $6.50, $12.25, $9.90, $11.00, $8.95, $ ...
pre algebra part 2
Question 1 (5 points)
Prices for the salad bar at some local restaurants are $8.95, $6.50, $12.25, $9.90, $11.00, $8.95, $10.75, and $6.50. Find the mean, median, and mode.
Question 1 options:
$9.35, $9.43, $6.50 and $8.95
$9.35, $10.45, no mode
$9.89, $9.43, $8.95
$9.89, $10.45, $6.50, and $8.95
Question 2 (5 points)
The spinner shown at right is spun once. Determine the probability of each outcome. Express each probability as a fraction and as a percent. Then describe the likelihood of the event. Write impossible, unlikely, equally likely, likely, or certain.
P(odd)Question 2 options:
; likely
; equally likely
; impossible
; certain
Question 3 (5 points)
Identify the sample as biased or unbiased and describe its type.
Tia surveyed every third house in the locality to determine the number of people who own pets.Question 3 options:
unbiased, simple random sample
biased, voluntary response sample
unbiased, systematic random sample
biased, convenience sample
Question 4 (5 points)
Find the median of the following set of data. Round to the nearest tenth if necessary.
26.1, 8.4, 11.4, 44.1, 32.3, 46, 41, 18.5, 20, 9.3, 19.6Question 4 options:
32.3
20
26.1
25.2
Question 5 (5 points)
Before starting a summer jobs program, the school board conducted a survey at various schools. They interviewed 30% of the high school students to know whether they would participate in the program. The results are shown in the graph.
Is this sampling method valid? If so, how many of 750 students of various high schools are likely to participate in this program?
Question 5 options:
no, 125
yes, 125
no, 625
yes, 625
Question 6 (5 points)
A number cube is tossed and the spinner below is spun. Find P(3 and C).
Question 6 options:
Question 7 (5 points)
Matthew has 8 dimes and 10 quarters in a box. Find the probability of drawing a dime.
Question 7 options:
Question 8 (5 points)
In baseball, Shintaro had 4 hits in his last 12 times at bat.
If Shintaro has 36 at bats in the next week, about how many hits will he have?Question 8 options:
24
12
10
9
Question 9 (5 points)
Find the mean of each set of data. Round to the nearest tenth if necessary.
14, 39, 27, 17, 17, 25, 10, 37Question 9 options:
23.3
21.3
24.8
21
Question 10 (5 points)
The table shows the number of campsite reservations at two different state parks over the past 10 weekends.
Number of Campsite Reservations
East Fork
32
36
39
39
43
45
50
51
56
80
Blue Ridge
38
40
45
47
51
52
60
62
69
73
Are there any outliers in the data for either state park? Question 10 options:
The data points 56 and 80 reservations are outliers for East Fork.
The data point 38 reservations is an outlier for Blue Ridge.
The data point 80 reservations is an outlier for East Fork.
There are no outliers.
Question 11 (5 points)
Find the range for the set of data.
101, 72, 115, 114, 117, 56, 101, 68, 111, 58, 51, 51, 90Question 11 options:
64
85
66
90
Question 12 (5 points)
Find the probability.
A marble is randomly selected from a bag containing 15 black, 12 white, and 6 clear marbles. Find P(not clear). Round to the nearest percent if necessary.
Question 12 options:
18%
82%
64%
55%
Question 13 (5 points)
Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data.
14.6, 28.1, 3.9, 7.1, 5.3, 30.9, 2.8, 6.5, 20.8, 16.4, 16.4, 27.1, 53.5, 12.5, 6.1 Question 13 options:
median: 14.6, Q1: 6.1, Q3: 27.1, IR: 21, outliers: none
median: 14.6, Q1: 6.1, Q3: 27.1, IR: 20, outliers: none
median: 14.6, Q1: 6.1, Q3: 27.1, IR: 21, outliers: 2.8
median: 14.6, Q1: 6.1, Q3: 25.1, IR: 21, outliers: none
Question 14 (5 points)
Nina’s quiz scores for the quarter are 90, 79, 5, 84, 95, 81, 87, and 94. Which measure of central tendency best represents the data shown in the table and why?
Question 14 options:
Since the data have many repeated values, the mode best represents the data.
Since there is an extreme value (5) and there are no big gaps in the middle of the data, the median best represents the data.
Since there are no extreme values, the mean best represents the data.
Since there are no extreme values and few repeated numbers, the median best represents the data.
Question 15 (5 points)
The frequency table shows Sam’s record in swimming.
Year
Number of medals
2008
6
2009
4
2010
1
2012
7
2013
4
Based on this record, what is the probability of picking up a medal won by him in the years 2009 or 2012.
Question 15 options:
2
Question 16 (5 points)
Lionel is apartment hunting. He makes a table of prospective apartment choices.
Apartment Rental PricesApartment ChoicePrice per Month ($)1630275536754765569066807675
Which measure of central tendency best represents the data shown in the table and why?
Question 16 options:
Since the data is grouped close together, the mode best represents the data.
Since there are no extreme values, the median best represents the data.
Since there are no extreme values and few repeated numbers, the mean best represents the data.
Since the value 675 occurs more than once, the mode best represents the data.
Question 17 (5 points)
The table shows the number of points scored by each team in a tournament.
Number of Points Scored
12
25
16
20
31
16
19
22
Find the mean absolute deviation of the number of points scored. Round to the nearest hundredth if necessary.
Question 17 options:
4.41
16
20.13
35.26
Question 18 (5 points)
Find the mode of each set of data.
33, 19, 15, 39, 39, 34, 24, 29Question 18 options:
31
29
32
39
Question 19 (5 points)
Find the probability.
A bag of sweets contains 20 gummy bears and 35 orange slices. One sweet is taken at random from the bag. Find P(gummy bear).Question 19 options:
Question 20 (5 points)
Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data.
111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112 Question 20 options:
median: 102, Q1: 87, Q3: 113, IR: 28, outliers: none
median: 102, Q1: 87, Q3: 115, IR: 28, outliers: 68
median: 102, Q1: 87, Q2: 115, IR: 28, outliers: none
median: 102, Q1: 87, Q3: 115, IR: 27, outliers: none
Submit Quiz0 of 20 questions saved
MAC2105 College Algebra Week 4
Need assistance in completing week 4. There is multiple classwork that needs to be completed. This includes week 4 weekly ...
MAC2105 College Algebra Week 4
Need assistance in completing week 4. There is multiple classwork that needs to be completed. This includes week 4 weekly summary (10 Question answer with steps on how you found the answer). There is week 4 Summary as well as 3 other exams as well.All work has is found and completed on my student portal website. Access will be provided to you.Week 4 Weekly SummaryWhen posting here in the Weekly Summary section please do not post "answers only" but rather show how you obtained your answers in a step by step manner. If your solution is correct, it is in your best interest for us to see how you obtained the answer. If your solution is incorrect, showing your steps will help us to follow your process and we can then work together to find your mistake.No bonus points will be awarded for answers without explanations.A maximum of 5 bonus points will be awarded for 5 correct answers with step by step explanations.The weekly summary answers and explanations will be posted in the Announcement section by Friday of each week. Please try to work each problem without pasting and copying or you will defeat your purpose of learning. Credit will only be given for "original" work. Please feel free to study the explanations, learn the problem, and create your own step-by-step explanation for bonus points . You may post your explanations throughout the term (please remind your instructor in the General Questions thread to grade your problems if you have posted after Sunday).Solve the following equation for n:n/4 - 5/6 = 5/12Solve the following equation for x:2x/3 - 4x/5 = 1/15Solve the following equation for x: 9/(4x) + 1/3 = 5/(2x)Solve the following equation for x:|5x-7| = 14Hint: This absolute value equation will turn into 2 linear equations, so there will be two solutions!Solve the following system of linear equations: 2x + 3y = -5 -2x + y = 9 6. Solve for (x, y, z), if there is a solution to the given system of linear equations: - x + 2y + 3z = 0 3x - 2y - 2z = 5 4x + y - 3z = -9 7 . Solve: x2 - 4x + 5 = 0. 8, Add the complex numbers: (5 – 2i) + (1 + 6i) 9. Subtract the complex numbers: (4+3i) - (6+i). 10. Multiply the complex numbers (4+3i) (6+i).Week 4 Algebra Talk Many students have often asked questions such as: Why do I need to learn Mathematics? Where and when am I going to use it in my life?Now that you are almost done with this College Algebra class, can you now explain why it is important for everyone to learn Mathematics? Can you also give examples on when, where, and how you have used and are using Mathematics in your everyday life?Please give examples and feel free to include: budgeting, investing, traveling, locating, securing personal informations, spending, saving, investing, measuring, cooking, etc.EXAMPLE: Hello! Math is an everyday tool that I use in everything I do. Math is important because it helps me take care of everything I need to on a daily basis. I was able to calculate how much money I would save for the year after doing my monthly budgets. I was able to figure out the distance, mileage, time, and how much it would cost to drive from Florida to New York last month. Then I was able point out the exact location of my final destination on a map. "The great book of nature can be read only by those who know the language in which it was written. And that language is mathematics". Galileo
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