Description
f(x) = x2 − 6x
f(x) = |
f(x) = x2 + 6x + 8
(a) Express the quadratic function in standard form.
f(x) = |
vertex | (x, y) = | |||
x-intercepts | (x, y) = | |||
(x, y) = | ||||
y-intercept | (x, y) = |
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Explanation & Answer
x(x-6) = 0
(x+4)(x+2) = 0
........................................................................
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STAT2002 Walden University Null and Alternative Hypotheses Analysis Essay
Have you ever seen statistics used to prove a point or make a headline stand out and thought that something was not right? ...
STAT2002 Walden University Null and Alternative Hypotheses Analysis Essay
Have you ever seen statistics used to prove a point or make a headline stand out and thought that something was not right? Perhaps a recent study had been conducted on the long-term effects of drinking coffee and you read two different articles about it. One article claimed that drinking coffee provides physical and mental health benefits, but the other was titled, “Top 5 Reasons to Stop Drinking Coffee.” How could two opposing interpretations come from the same study? In order to have a more accurate understanding, you might read the study for yourself. In doing so, you might find that while some negative health effects were reported, such as sleep loss or anxiety, these findings only applied to a small portion of people. Additionally, perhaps the study also mentions that some of the beneficial aspects of coffee drinking were found, but that further studies would need to be conducted in order for the results to be conclusive. Returning to the two articles, did they mention these disclaimers? Whether they did or not, by having a better understanding of how statistics are used to support a hypothesis, you can better prepare yourself to filter the relevancy and accuracy of information that is presented to you.In this Discussion, you will locate an article or news story where the author presents statistics as evidence and will consider the impact of understanding the null hypotheses, type I errors, and type II errors.To prepare for this Discussion: Review this week’s Learning Resources.Find a news story in which the author(s) presents statistics as evidence. Consider the following questions:What is the author(s) trying to prove? In other words, what question is the author(s) trying to answer?What would the null hypothesis be?What would happen if the author(s) rejected the null?What action would the author(s) take?If there were a type I error, what would be the effect of the action taken?What would happen if the author(s) could not reject the null?What action would the author(s) take?If there were a type II error, what would be the effect of the action?Review the Academic Writing Expectations for 2000/3000-Level Courses, provided in this week’s Learning Resources.By Day 3Post a 150- to 225-word (2- to 3-paragraph) explanation of the role of null and alternative hypotheses as well as type I and II errors in situations where people use statistics as evidence. In your explanation, address the following:Identify, briefly, the null and alternative hypotheses involved in the news story you located, as well as explain what the author(s) is trying to prove.Describe what the implications might be if the author(s) rejected the null and if the author(s) could not reject the null.Explain the impact of potential type I and/or type II errors.To support your response, be sure to reference at least one properly cited scholarly source.
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9.06 Conic Sections Unit Exam
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Find the distance between points (1, 2) and (5, 9).
Question 2
...
9.06 Conic Sections Unit Exam
Question 1
Find the distance between points (1, 2) and (5, 9).
Question 2
Find the distance between points (-3, 8) and (-5, 1).
Question 3
Find the midpoint between points (-4, 2) and (2, -2).
(1, -1)
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(-1, 0)
(1, 0)
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The equation represents a __________. parabola circle hyperbola ellipse 2 points
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What is the directrix of the following graph? y = -1 y = 1 x = 1 x = -1 2 points
Question 7
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What is the directrix of the following graph?
Question 9
What is the equation of the following graph?
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What is the equation of a parabola with a directrix x = 8 and focus (-8, 0).
Question 11
What is the equation of a parabola with vertex (0, 0) and directrix y = 12.
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What is the equation of a parabola with a vertex at (0, 0) and a focus at (0, 6).
Question 13
What is the axis of symmetry for the following parabola? y = 0 x = 0 y = -1 x = -1 2 points
Question 14
What is the equation of the following graph? x2 - y2 = 10 x2 - y2 = 100 x2 + y2 = 10 x2 + y2 = 100 2 points
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What is the center of the following graph?
Question 16
What is the radius of the following graph?
Question 17
What is the equation of the following graph?
Question 18
What is the equation of a circle with a center at (1, 3) and a radius of 6?
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What is the equation of a circle with a center at (0, 0) and a radius of 4.5?
Question 20
What is the equation of a circle with a center at (-4, -8) and a radius of 1.9?
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The point of symmetry for this circle is (0, 0). True False 2 points
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What is the length of the major axis of the following graph? 6 12 8 10 2 points
Question 23
What is the center of the following graph?
Question 24
What is the equation of the following graph?
Question 25
What are the vertices of the following graph?
Question 26
Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3).
Question 27
Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).
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Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.
Question 29
Ellipses have symmetry through both their minor and major axes. True False 2 points
Question 30
What are the asymptotes of the following graph? 2 points
Question 31
What is the equation of the following graph?
Question 32
What is the center of the following graph?
Question 33
What is the equation of the following graph?
Question 34
Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).
Question 35
Write the equation of a hyperbola with vertices at (-4, 0) and (4, 0) and co-vertices (0, 5) and (0, -5).
Question 36
Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).
Question 37
The symmetry of a hyperbola with a center at (h, k) only occurs at y = k and x = h. True False
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Springdale Shoppers Telephone Survey to Identify Strengths and Weaknesses Worksheet
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Need help with stats and a survey
1. You randomly survey people in the mall about whether or not they regularly use text messaging. The results are shown in ...
Need help with stats and a survey
1. You randomly survey people in the mall about whether or not they regularly use text messaging. The results are shown in the tally sheets below based on the people’s ages.Make a two-way table that includes the marginal frequencies.Make a two-way table that shows both the joint and marginal relative frequencies. Round to the nearest hundredth, if necessary.What is the probability that someone who is between the ages of 20-29 also texts regularly?What is the probability that someone who is between the ages of 40-49 also texts regularly?Does the data show a relationship between age and texting? Explain.2. The data below represents the number of hits on your web site over 10 months.Make a scatter plot of ln y versus x. Use the scatter plot to find the equation for the line of best fit.Make a scatter plot of ln y versus ln x. Use the scatter plot to find the equation for the line of best fit.Based on your answers in part a and b, would an exponential model or a power model be better to represent this data? Explain.Use your answers from parts a and b to find an exponential model and a power model to represent this data by hand.Use the regression feature on your calculator to find an exponential model and a power model to represent this data.Use your answer from parts c and d to make the best estimate for the number of hits your web site will have in 12 months.
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STAT2002 Walden University Null and Alternative Hypotheses Analysis Essay
Have you ever seen statistics used to prove a point or make a headline stand out and thought that something was not right? ...
STAT2002 Walden University Null and Alternative Hypotheses Analysis Essay
Have you ever seen statistics used to prove a point or make a headline stand out and thought that something was not right? Perhaps a recent study had been conducted on the long-term effects of drinking coffee and you read two different articles about it. One article claimed that drinking coffee provides physical and mental health benefits, but the other was titled, “Top 5 Reasons to Stop Drinking Coffee.” How could two opposing interpretations come from the same study? In order to have a more accurate understanding, you might read the study for yourself. In doing so, you might find that while some negative health effects were reported, such as sleep loss or anxiety, these findings only applied to a small portion of people. Additionally, perhaps the study also mentions that some of the beneficial aspects of coffee drinking were found, but that further studies would need to be conducted in order for the results to be conclusive. Returning to the two articles, did they mention these disclaimers? Whether they did or not, by having a better understanding of how statistics are used to support a hypothesis, you can better prepare yourself to filter the relevancy and accuracy of information that is presented to you.In this Discussion, you will locate an article or news story where the author presents statistics as evidence and will consider the impact of understanding the null hypotheses, type I errors, and type II errors.To prepare for this Discussion: Review this week’s Learning Resources.Find a news story in which the author(s) presents statistics as evidence. Consider the following questions:What is the author(s) trying to prove? In other words, what question is the author(s) trying to answer?What would the null hypothesis be?What would happen if the author(s) rejected the null?What action would the author(s) take?If there were a type I error, what would be the effect of the action taken?What would happen if the author(s) could not reject the null?What action would the author(s) take?If there were a type II error, what would be the effect of the action?Review the Academic Writing Expectations for 2000/3000-Level Courses, provided in this week’s Learning Resources.By Day 3Post a 150- to 225-word (2- to 3-paragraph) explanation of the role of null and alternative hypotheses as well as type I and II errors in situations where people use statistics as evidence. In your explanation, address the following:Identify, briefly, the null and alternative hypotheses involved in the news story you located, as well as explain what the author(s) is trying to prove.Describe what the implications might be if the author(s) rejected the null and if the author(s) could not reject the null.Explain the impact of potential type I and/or type II errors.To support your response, be sure to reference at least one properly cited scholarly source.
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Question 1
Find the distance between points (1, 2) and (5, 9).
Question 2
...
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Question 1
Find the distance between points (1, 2) and (5, 9).
Question 2
Find the distance between points (-3, 8) and (-5, 1).
Question 3
Find the midpoint between points (-4, 2) and (2, -2).
(1, -1)
(0, -1)
(-1, 0)
(1, 0)
2 points
Question 4
Find the midpoint between points (-2, 3) and (-4, -3). (3, 1) (-3, -1) (0, -3) (-3, 0) 2 points
Question 5
The equation represents a __________. parabola circle hyperbola ellipse 2 points
Question 6
What is the directrix of the following graph? y = -1 y = 1 x = 1 x = -1 2 points
Question 7
What is the equation of the following graph?
Question 8
What is the directrix of the following graph?
Question 9
What is the equation of the following graph?
Question 10
What is the equation of a parabola with a directrix x = 8 and focus (-8, 0).
Question 11
What is the equation of a parabola with vertex (0, 0) and directrix y = 12.
Question 12
What is the equation of a parabola with a vertex at (0, 0) and a focus at (0, 6).
Question 13
What is the axis of symmetry for the following parabola? y = 0 x = 0 y = -1 x = -1 2 points
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What is the equation of the following graph? x2 - y2 = 10 x2 - y2 = 100 x2 + y2 = 10 x2 + y2 = 100 2 points
Question 15
What is the center of the following graph?
Question 16
What is the radius of the following graph?
Question 17
What is the equation of the following graph?
Question 18
What is the equation of a circle with a center at (1, 3) and a radius of 6?
Question 19
What is the equation of a circle with a center at (0, 0) and a radius of 4.5?
Question 20
What is the equation of a circle with a center at (-4, -8) and a radius of 1.9?
Question 21
The point of symmetry for this circle is (0, 0). True False 2 points
Question 22
What is the length of the major axis of the following graph? 6 12 8 10 2 points
Question 23
What is the center of the following graph?
Question 24
What is the equation of the following graph?
Question 25
What are the vertices of the following graph?
Question 26
Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3).
Question 27
Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).
Question 28
Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.
Question 29
Ellipses have symmetry through both their minor and major axes. True False 2 points
Question 30
What are the asymptotes of the following graph? 2 points
Question 31
What is the equation of the following graph?
Question 32
What is the center of the following graph?
Question 33
What is the equation of the following graph?
Question 34
Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).
Question 35
Write the equation of a hyperbola with vertices at (-4, 0) and (4, 0) and co-vertices (0, 5) and (0, -5).
Question 36
Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).
Question 37
The symmetry of a hyperbola with a center at (h, k) only occurs at y = k and x = h. True False
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Need help with stats and a survey
1. You randomly survey people in the mall about whether or not they regularly use text messaging. The results are shown in ...
Need help with stats and a survey
1. You randomly survey people in the mall about whether or not they regularly use text messaging. The results are shown in the tally sheets below based on the people’s ages.Make a two-way table that includes the marginal frequencies.Make a two-way table that shows both the joint and marginal relative frequencies. Round to the nearest hundredth, if necessary.What is the probability that someone who is between the ages of 20-29 also texts regularly?What is the probability that someone who is between the ages of 40-49 also texts regularly?Does the data show a relationship between age and texting? Explain.2. The data below represents the number of hits on your web site over 10 months.Make a scatter plot of ln y versus x. Use the scatter plot to find the equation for the line of best fit.Make a scatter plot of ln y versus ln x. Use the scatter plot to find the equation for the line of best fit.Based on your answers in part a and b, would an exponential model or a power model be better to represent this data? Explain.Use your answers from parts a and b to find an exponential model and a power model to represent this data by hand.Use the regression feature on your calculator to find an exponential model and a power model to represent this data.Use your answer from parts c and d to make the best estimate for the number of hits your web site will have in 12 months.
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