Questions

Manually execute one iteration of the secant method using the initial approximations 1 and x 0 0 to ascertain a solution of tan x 0 1 where x is expressed in radians Following this single iteration provide the precise values of your solution estimate x 1 its estimated relative error and express the tolerance in function as a decimal floating point number in engineering notation with 7 mantissa digits

A city with a 2010 population of 91 000 has a growth control policy that limits the increase in residents to 1 7 per year Finding their work limited by the policy developers suggest a compromise of raising the allowed growth rate to 5 2 per year Contrast the populations in this city in 2020 2030 and 2070 for 1 7 annua growth and 5 2 annual growth Use the approximate doubling formula The predicted population in 2020 if the growth rate is 1 7 per year is Round to the nearest whole number as needed

Question 24 of 26 1 point I Question Attempt 1 of Unlimited Use transformations to graph the function f x x 4 6

1 Question 20 of 26 1 point I Question Attempt 1 of Unlimited Use the graph of y g x to graph the given function TO 1 y g x y g x 3 2 34 V

Is the nal cri rate really going dow sociologists say yes They say that the reason for the rates the 1980s and 1990s is demographics It seems that the population is aging and older people commit fewer crimes According t the FBI and the Justice Department 70 of all arrests are of males aged 15 to 34 years Suppose you are a sociologist in Rock Springs Wyoming and a random sample of police files showed that of 36 arrests last month 22 were of males aged 15 to 34 ye Use a 1 level of significance to test the claim that the population proportion of such arrests is the city different from 70 Solv the problem using the critical region method of testing Since the sampling distribution of p is the normal distribution you can u critical values from the table below Hypothesis Testing Critical Values z Level of Significance Critical value z for a left tailed test Critical value z for a right tailed test Critical value z for a two tailed test H USE SALT a 0 05 a 0 01 1 645 1 645 1 96 2 33 State the null and alternative hypotheses Enter for as needed Ho p 0 70 2 33 2 58

USA Today reported that about 47 of the general consumer population in the United States is loyal to the automobile manufacturer of their choice Suppose Chevrolet did a study of a random sample of 1009 Chevrolet owners and found that 486 said they would buy another Chevrolet Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47 Use a 0 01 a What is the level of significance 0 01 USE SALT State the null and alternate hypotheses Enter for as needed Ho P 0 47 H P 0 47 b What sampling distribution will you use Do you think the sample size is sufficiently large Explain We ll use the standard normal because the sample size is not sufficiently large since np 5 and nq 5 O We ll use the Student s t because the sample size is sufficiently large since np 5 and ng 5 We ll use the standard normal because the sample size is sufficiently large since np 5 and nq 5 O We ll use the Student s t because the sample size is not sufficiently large since np 5 and nq 5 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places X c Find the P value of the test statistic Round your answer to four decimal places P value x 3 Sketch the sampling distribution and show the area corresponding to the P value 3 2 1 2 1 0 0 1 1 2 2 3 3 O 3 2 1 3 2 0 1 1 0 1 2 2 3 3 n

Fruse in used to assess the similarity among passages of text and sometimes the identity of authors The following information is based on an article by D Wishart and S V Leach appearing in Computer Studies of the Humanities and Verbal Behavior Vol 3 pp 90 99 Syllables were categorized as long or short On analyzing Plato s Republic Wishart and Leach found that about 26 1 of the five syllable sequences are of the type in which two are short and three are long Suppose that Greek archaeologists have found an ancient manuscript dating back to Plato s time about 427 347 B C A random sample of 314 five syllable sequences from the newly discovered manuscript showed that 61 are of the type two short and three long Do the data indicate that the population proportion of this type of five syllable sequence is different either way from the text of Plato s Republic Use a 0 01 LAUSE SALT a What is the level of significance 0 01 State the null and alternate hypotheses Enter for as needed Ho P 0 261 H b What sampling distribution will you use Do you think the sample size is sufficiently large Explain O We ll use the Student s t because the sample size is not sufficiently large since np 5 and nq 5 We ll use the standard normal because the sample size is not sufficiently large since np 5 and nq 5 We ll use the standard normal because the sample size is sufficiently large since np 5 and nq 5 We ll use the Student s t because the sample size is sufficiently large since np 5 and ng 5 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places X c Find the P value of the test statistic Round your answer to four decimal places P value x 3 Sketch the sampling distribution and show the area corresponding to the P value 2 1 3 2 1 P value 0 Sylldvic P value 0 1 1 2 2 3 3 A graph has a horizontal axis with values from 3 5 to 3 5 The curve enters the window from the left just above the horizontal axis goes up and to the right changes direction over approximately 0 on the horizontal axis and then goes down and to the right before exiting the window just above the horizontal axis The area under the curve to the left of 2 7 labeled P value as well as the area under the curve to the right of 2 7 labeled P value are both shaded 3 2 1 0 1 2 3

construct a confidence interval from sample data Let a be the level of significance for a two tailed hypothesis test The following statement applies to hypothesis tests of the mean For a two tailed hypothesis test with level of significance a and null hypothesis Ho k we reject Ho whenever k falls outside the c 1 a confidence interval for based on the sample data When k falls within the c 1 a confidence interval we do not reject Ho A corresponding relationship between confidence intervals and two tailed hypothesis tests also is valid for other parameters such as p M M or P P which we will study in later sections Whenever the value of k given in the null hypothesis falls outside the c 1 alpha confidence interval for the parameter we reject Ho For example consider a two tailed hypothesis test with 0 05 and Hoi H 21 H 21 A random sample of size 13 has a sample mean x 22 from a population with standard deviation 8 a What is the value of c 1 a 0 95 Using the methods of Chapter 7 construct a 1a confidence interval for from the sample data Enter your answer in the form lower limit to upper limit Include the word to Round your numerical answers to two decimal places X What is the value of given in the null hypothesis i e what is k k 21 Is this value in the confidence interval Yes O No Do we reject or fail to reject H based on this information Fail to reject since 21 is not contained in this interval O Fail to reject since 21 is contained in this interval O Reject since 21 is not contained in this interval O Reject since 21 is contained in this interval b Using methods of Chapter 8 find the P value for the hypothesis test Round your answer to four decimal places P value Do we reject or fail to reject Ho O Reject the null hypothesis there is sufficient evidence that differs from 21 O Fail to reject the null hypothesis there is insufficient evidence that differs from 21 O Fail to reject the null hypothesis there is sufficient evidence that differs from 21 O Reject the null hypothesis there is insufficient evidence that differs from 21 Compare your result to that of part a These results are the same O We rejected the null hypothesis in part b but failed to reject the null hypothesis in part a O We rejected the null hypothesis in part a but failed to reject the null hypothesis in part b

In a fishing lodge brochure the lodge advertises that 75 of its guests catch northern pike over 20 pounds Suppose that last summer 63 out of a random sample of 78 guests did in fact catch northern pike weighing over 20 pounds Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75 either higher or lower Use a 0 05 a What is the level of significance 0 05 USE SALT State the null and alternate hypotheses Enter for as needed Ho P 0 75 H b What sampling distribution will you use Do you think the sample size is sufficiently large Explain We ll use the Student s t because the sample size is not sufficiently large since np 5 and ng 5 O We ll use the standard normal because the sample size is sufficiently large since np 5 and ng 5 We ll use the Student s t because the sample size is sufficiently large since np 5 and nq 5 O We ll use the standard normal because the sample size is not sufficiently large since np 5 and nq 5 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places X c Find the P value of the test statistic Round your answer to four decimal places X 3 Sketch the sampling distribution and show the area corresponding to the P value 2 1 0 1 3 2 1 0 1 2 2 3 3 O x 3 2 1 3 2 1 0 0 1 1 2 2 3 O 3 Q

Benson Manufacturing is considering ordering electronic components from three different suppliers The suppliers may differ in terms of quality in that the proportion or percentage of defective components may differ among the suppliers To evaluate the proportion of defective components for the suppliers Benson has requested a sample shipment of 500 components from each supplier The number of defective components and the number of good components found in each shipment are as follows Component Defective Good A 20 Supplier B C 25 45 480 475 455 a Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers O Ho All population proportions are not equal Ha PA PB Pc Ho PA PB Pc H Not all population proportions are equal O Ho PA PB Pc H All population proportions are not equal Ho Not all population proportions are equal Ha PA PB Pc b Using a 0 05 level of significance conduct the hypothesis test Find the value of the test statistic Round your answer to three decimal places Find the p value Round your answer to four decimal places p value State your conclusion Do not reject Ho We conclude that the suppliers do not provide equal proportions of defective components Do not reject Ho We cannot conclude that the suppliers do not provide equal proportions of defective

Assume the carrying capacity of the earth is 21 billion Use the 1960s peak annual growth rate of 2 1 and population of 3 billion to predict the base growth rate and current growth rate with a logistic model Assume a current population of 6 8 billion How does the predicted growth rate compare to the actual growth rate of about 1 2 per year What is the base growth rate Round to four decimal places as needed

11 Let b the range not H 1 and let A be the matrix in Exercise 9 Is b in 0 of the linear transformation x Ax Why or why

Is there a relationship between confidence intervals and two tailed hypothesis tests Let c be the level of confidence used to construct a confidence interval from sample data Let a be the level of significance for a two tailed hypothesis test The following statement applies to hypothesis tests of the mean A corresponding relationship between confidence intervals and two tailed hypothesis tests also is valid for other parameters such as p or P P which we will study later Whenever the value of k given in the null hypothesis falls outside the c 1 a confidence interval for the parameter we reject Ho For example consider a two tailed hypothesis test with a 0 01 and Ho 20 H 20 A random sample of size 33 has a sample mean x 23 from a population with standard deviation 6 a What is the value of c 1 a 0 99 For a two tailed hypothesis test with level of significance a and null hypothesis Ho H k we reject Ho whenever k falls outside the c 1 a confidence interval for based on the sample data When k falls within the c 1 a confidence interval we do not reject Ho Construct a 1 x confidence interval for from the sample data Enter your answer in the form lower limit to upper limit Include the word to Round your numerical answers to two decimal places 20 31 25 69 What is the value of a given in the null hypothesis i e what is k k 20 Is this value in the confidence interval Yes No OO Do we reject or fail to reject H based on this information We fail to reject the null hypothesis since 20 is not contained in this interval We fail to reject the null hypothesis since 20 is contained in this interval We reject the null hypothesis since 20 is not contained in this interval We reject the null hypothesis since 20 is contained in this interval OO 6 Ucing methods of this chanter find the value for the hypothecis test Bound your SOCIOE to four decimal places

What is the approximate cost of an out of state student 11 473 74 who misses one day of a 3 credit hour course that meets 3 days a week O a 48 O b 71 O c 65 O d 55

Assume the carrying capacity of the earth is 21 billion Use the 1960s peak annual growth rate of 2 1 and population of 3 billion to predict the base growth rate a current growth rate with a logistic model Assume a current population of 6 8 billion How does the predicted growth rate compare to the actual growth rate of about 1 2 per year What is the base growth rate Round to four decimal places as needed

Suppose that prices of recently sold homes in one neighborhood have a mean of 215 000 with a standard deviation of 8900 Using Chebyshev s Theorem what is the minimum percentage of recently sold homes with prices between 197 200 and 232 800 Round your answer to one decimal place

4 12pts A research study published in The Journal of Biological Chemistry 2020 and mentioned in Science Daily 2020 discusses a drug that has been used in the treatment of SARS and MERS type coronaviruses Recent clinical trials were conducted by the NIH at the University of Nebraska Medical Center UNMC which is about 80 miles northeast of Doane University to test for its effectiveness towards combating the novel coronavirus COVID 19 Refer to the articles posted in module 4 and other resources you have at your disposal to answer the following questions Answer each part below accordingly a 1pt What is the name of the drug discussed b i 1pt Look up ie google and draw the structure of this drug ii 1pt How many carbon atoms in this structure are considered chiral c i 1pt What is the configuration of the chiral carbon which is not part of a ring Circle the correct label R or S below ii Using the structure drawn above label the priorities according to Cahn Ingold Prelog rules 1pt R or S d i 1pt How many additional stereoisomers does this compound have Note the phosphorous in this structure is also a stereocenter ii 2pts Propose a reason why the stereochemistry of this drug is important e 2pt What biochemical enzyme has this drug been shown to inhibit and why is this important f 2pt Draw the structure and provide a name of the RNA nucleotide that this drug most closely resembles

2 Graph y sin 2x TT V TT 2 1 5 1 0 5 0 0 5 TT 2 TT 3TT 2 2TT

People who identify as gay lesbian or bisexual make up about O 1 3 O 2 4 O 3 5 04 6 of the U S population

8 The graph of y A cos x C D is shown for some constants A C and D Find the values of A C and D 2 V TT 2 TT 2 3TT 2 2TT N 1 2

For the following exercises solve the trigonometric equations on the interval 2 0 4 156 1 cos 0 1 12

What are the x intercepts of the graph Enter the intercept as an ordered pair If one does not exist write none Type your answer and submit

1 Graph y 1 2 cos x TI TT V TT 2 1 5 1 0 5 0 0 5 TT 2 TT 3TT 2 2TT x

For the following exercises solve the trigonometric equations on the interval 20 4 158 4sin 0 2 0

3 Graph y sin x 1 T TT 2 3 2 1 0 1 TT 2 TT 3TT 2 2TT x

The times per week a student uses a lab computer are normally distributed with a mean of 6 4 hours and a standard deviation of 1 2 hours A student is randomly selected Find following probabilities a Find the probability that the student uses a lab computer less than 5 hours per week b Find the probability that the student uses a lab computer between 6 and 8 hours per week c Find the probability that the student uses a lab computer more than 9 hours per week Click to view page 1 of the standard normal table Click to view page 2 of the standard normal table GOODY a The probability that a student uses a lab computer less than 5 hours per week is Round to three decimal places as needed b The probability that a student uses a lab computer between 6 and 8 hours per week is Round to three decimal places as needed c The probability that a student uses a lab computer more than 9 hours per week is Round to three decimal places as needed

9 Identify the midline period amplitude domain and range of the function shown in the graph V 0 14 2 2TT 4TT N

10 Write two equations for the graph shown one using sine and one using cosine TT TT 2 3 2 1 0 T 2 TT 3TV2 2TT

The four forces in psychology s history include O functionalism structuralism psychoanalysis and multiculturalism psychoanalysis behaviorism evolution and multiculturalism psychoanalysis behaviorism humanism and multiculturalism behaviorism cognition humanism and subculturalism

is your culture s social psychological and behavioral expectations related to the sex you were assigned at birth Sex Gender Sexual orientation Culture

5 Consider the graph of y f x where f x 2 5 cos x a Identify the midline of the graph of f b Identify the period of f c Identify the range of f d Identify the amplitude of f

Prisha has just moved with her father from India to Paris She is having difficulty fitting in at school and finds herself not wanting to speak French or do traditional French things with classmates She has made friends with an elderly Indian woman who lives next door to her and spends all of her time with her talking in Hindi about her previous life in India What type of acculturation strategy is Prisha using O assimilation separation Omarginalization O integration

For the following exercises solve the trigonometric equations on the interval 20 4 155 2 sin 0 1 0

6 The graph of y cosa is reflected across the y axis and horizontally stretched by the factor of following is affected A Range B Amplitude C Period D Domain 113 Which of the

You want to better understand a coworker s culture In order to avoid stereotyping your coworker it would be best to make sure that you O consider only what is typical for your coworker s culture consider that everyone including your coworker is unique and that culture is irrelevant consider what is typical for your coworker s culture but also that your coworker might not be typical for that culture consider what is atypical for your coworker s culture and that your coworker might be typical for that culture

O learn about a different culture other than your own live and interact effectively in a multicultural society O score high on a test regarding different cultures in the world recognize different racial and ethnic groups

7T The period of the graph of y 7 sin Br 3 is 2 Find the value of B

Find the instantaneous rate of change of th function at the given x value Use the form f a h f a lim h 0 h 2 f x 4x 1 at x 2

Macmillan Learning You live in a culture that is open to various viewpoints and requires few laws or social guidelines to dictate and control behaviors This type of culture is high in avoidance of uncertainty long term orientation acceptance of uncertainty short term orientation

Find the AROC of the function on the Given interval g x x 2 1 3

Which statement is correct regarding the percentages of various races and ethnicities of the U S population Three percent are Asian Thirteen percent are Black or African American Twenty five percent are Hispanic or Latinx O Forty five percent are White

Sexual orientation rates Oare the same O differ widely Oare unknown differ slightly across various parts of the country

The model believes that cultural differences are not disadvantages but are unique qualities that carry their own strengths that should be acknowledged and celebrated deficit culturally disadvantaged cultural pluralism positive psychology

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is when a person who is transgender lives a life as the gender that matches their identity rather than their biologically assigned gender based on their sex Adapting Assimilating O Transitioning Transgendering

ick to see additional instructions magine a population evolving by genetic drift in which the frequency of allele K is 0 2 What is the probability that at some point in the future allele K will drift to a frequency of 17

Use a growth rate of 1 1 to predict the population in 2042 of a country that in the year 2006 had a population of 100 million Use the approximate doubling time formula What is the predicted population of the country in 2042 million Round the final answer to the nearest whole number as needed Round the doubling time to the nearest year as needed

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Consider a population that begins growing exponentially at a base rate of 3 4 per year and then follows a logistic growth pattern If the carrying capacity is 62 million find the actual fractional growth when the population is at 10 million 30 million and 50 million The fractional growth rate is about 2 85 when the population is 10 million Round to two decimal places as needed The fractional growth rate is about 1 75 when the population is 30 million Round to two decimal places as needed The fractional growth rate is about when the population is 50 million Round to two decimal places as needed