Questions

5 x 4x 1 A 4 13 4 13 B 3 1 C 1 3 D 2 5 2 5 7 3b 7 4b A 1 317 5 317 B 1 2 333 C 1 2 D 4 1 6 8 6 3n 2 n A 1 3 5 C 1 2 8 3x 5x 1 A 1 1 5 B 1 0 D 1 264 B 0 232 1 434 C 2 667 1 D 1 4

In a marketing survey a random sample of 724 shoppers revealed that 626 remained loyal to their favorite supermarket during the past year i e did not switch stores LUSE SALT a Let p represent the proportion of all shoppers who remain loyal to their favorite supermarket Find a point estimate for p Round your answer to four decimal places b Find a 95 confidence interval for p Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to three decimal places Give a brief explanation of the meaning of the interval We are 5 confident that the true proportion of loyal shoppers falls within this interval We are 95 confident that the true proportion of loyal shoppers falls within this interval We are 95 confident that the true proportion of loyal shoppers falls outside this interval We are 5 confident that the true proportion of loyal shoppers falls above this interval c As a news writer how would you report the survey results regarding the percentage of supermarket shoppers who remained loyal to their favorite supermarket during the past year Report p along with the margin of error Report the margin of error Report the confidence interval Report p What is the margin of error based on a 95 confidence interval Round your answer to three decimal places

11 11 n 4n 21 0 A 2 12 C 12 2 B 3 7 D 6 4 12 12 x 8x 9 0 A 7 3 C 4 6 B 4 6 D 9 1

The table shows the number of monthly active users of a social media website the number of people who use the website at least once a month over a three year period Complete parts a through c Month March 2009 March 2010 March 2011 March 2012 214 455 695 922 Monthly active users millions Absolute change over previous year Percent change over previous year a Fill in the row of the table showing the absolute change in the number of active monthly users March 2010 455 March 2011 March 2012 695 922 Month March 2009 214 Monthly active users millions Absolute change over previous year Type integers or decimals rounded to the nearest tenth as needed

4 2 NE 4 6

The previous experiment is not bound to involve only two forces Suppose you were to add two force vectors F 0 98 N 20 and F 1 96 N 120 We want to know what a third force F3 would be to obtain a zero net force 98 1 96 x C

5 x 4x c 6 6 n 18n c

Alyssa and Gabriel play the following game Alyssa rolls a die If she rolls a 1 2 or 3 Gabriel gives Alyssa 4 If Alyssa rolls a 4 or 5 Gabriel gives Alyssa 1 However if Alyssa rolls a 6 she gives Gabriel 13 a Determine Alyssa s expectation b Determine Gabriel s expectation a Alyssa s expectation is Round to the nearest cent dollars www

In a random sample of 500 judges it was found that 287 were introverts USE SALT a Let p represent the proportion of all judges who are introverts Find a point estimate for p Round your answer to four decimal places b Find a 99 confidence interval for p Enter your answer in the form lower limit to upper limit Include the word to Rou your numerical values to two decimal places Give a brief interpretation of the meaning of the confidence interval you have found We are 1 confident that the true proportion of judges who are introverts falls above this interval We are 99 confident that the true proportion of judges who are introverts falls within this interval We are 1 confident that the true proportion of judges who are introverts falls within this interval We are 99 confident that the true proportion of judges who are introverts falls outside this interval c Do you think the conditions np 5 and ng 5 are satisfied in this problem Explain why this would be an important consideration No the conditions are not satisfied This is important because it allows us to say that p is approximately normal Yes the conditions are satisfied This is important because it allows us to say that p is approximately binomial Yes the conditions are satisfied This is important because it allows us to say that p is approximately normal No the conditions are not satisfied This is important because it allows us to say that p is approximately binomial

SLIDE 5 14 Identify the structures labeled A 15 Identify the structure labeled B 16 Identify the tissue labeled C 17 Which layer of the skin is this hint what structures do you see that can help you decide C

B 12 Identify the structure labeled A 13 Identify the structure labeled B

A random sample of 5 967 physicians in Colorado showed that 3 089 provided at least some charity care i e treated poor people at no cost USE SALT a Let p represent the proportion of all Colorado physicians who provide some charity care Find a point estimate for p Round your answer to four decimal places b Find a 99 confidence interval for p Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to three decimal places Give a brief explanation of the meaning of your answer in the context of this problem O We are 1 confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval We are 99 confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval We are 1 confident that the true proportion of Colorado physicians providing at least some charity care falls above this interval We are 99 confident that the true proportion of Colorado physicians providing at least some charity care falls outside this interval c Is the normal approximation to the binomial justified in this problem Explain Yes np 5 and nq 5 No np 5 and nq 5 Yes np 5 and nq 5 No np 5 and ng 5

SLIDE 5 A 14 Identify the structures labeled A 15 Identify the structure labeled B B 16 Identify the tissue labeled C 17 Which layer of the skin is this hint what structures do you see that can help you decide

Add the numerators 14 16 4 16 9 16 16

A study of parental empathy for sensitivity cues and baby temperament higher scores mean more empathy was performed Let x be a random variable that represents the score of a mother on an empathy test as regards her baby Let x be the empathy score of a father A random sample of 38 mothers gave a sample mean of x 68 36 Another random sample of 38 fathers gave X 58 70 Assume that a 10 99 and 10 88 a What distribution standard normal or Student s t should be used to construct a confidence interval for Explain A Student s t should be used because o and are known A standard normal should be used because and are known A standard normal should be used because o and are unknown A Student s t should be used because and are unknown b Let be the population mean of x and let 2 be the population mean of x Find a 99 confidence interval for Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places

A caterer prepares a mixed berry salad with qt of strawberries qt of raspberries and total amount of berries in the salad 8 4 Add the numerators 14 16 16 16 What is the next step in adding fractions when denominators are different A Add the numerators keeping the same denominators B Add the numerators and the denominators OC Rewrite each fraction so the numerators are in terms of the LCD OD Simplify the fractions 4 T 9 16 qt of blueberries What

14 4 15 9 A Subtract the LCD to the numerator and denominator OB Add the LCD to the numerator and denominator OC Multiply the LCD by the numerator and denominator D Simplify if possible Can the fraction O No O Yes 22 45 be simplified

Subtract the numerators and subtract the denominators 42 20 22 45 45 45 Determine the final step to subtract fractions when the denominators are different Choose the correct answer below OA Subtract the LCD to the numerator and denominator OB Add the LCD to the numerator and denominator OC Multiply the LCD by the numerator and denominator OD Simplify if possible

Class Interval X 95 99 90 94 85 89 80 84 f f 75 79 3 70 74 1 8 65 69 1 6 60 64 1 2 Class Interval X 3 Notice that the class intervals do not overlap The class interval 80 84 really means 79 5 84 5 Rounding Rules for exactly x 5 If number before the decimal is even go up If the number before the decimal is odd go down

Let a b c be the point of intersection of the space curve r t 2t t 1 1 4t with the surface x 2y z 0 What is the value of a 2b To receive the full 5 points you must show all your work on this problem

Suppose a single bacterium is placed in a bottle at 11 00 am It grows and at 11 01 divides into two bacteria These two bacteria each grow and at 11 02 divide into four bacteria which grow and at 11 03 divide into eight bacteria and so on Now suppose the bacteria continue to double every minute and the bottle is full at 12 00 How many bacteria are in the bottle at 11 44 What fraction of the bottle is full at that time There will be bacteria in the bottle at 11 44 Type your answer using exponential notation

15 9 D Multiply by 1 using an appropriate notation to express each number in terms of the least common denominator Multiply by 1 using an appropriate notation 14 15 Multiply 4 14 3 4 5 9 15 3 9 5 14 3 4 5 15 3 9 5 www 45 45 to express each number in terms of the least common denominator n

What price do farmers get for their watermelon crops In the third week of July a random sample of 41 farming regions gave a sample mean of x 6 88 per 100 pounds of watermelon Assume that is known to be 1 94 per 100 pounds a Find the margin of error for a 90 confidence interval for the population mean price in dollars per 100 pounds that farmers in this region get for their watermelon crop What is the margin of error Round your answer to two decimal places Find a 90 confidence interval for the population mean price in dollars per 100 pounds that farmers in this region get for their watermelon crop Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places b Find the sample size of farming regions necessary for a 90 confidence level with maximal error of estimate E 0 45 for the mean price per 100 pounds of watermelon Round your answer up to the nearest whole number farming regions c A farm brings 15 tons of watermelon to market Hint 1 ton is 2 000 pounds Find a margin of error for a 90 confidence interval for the population mean cash value of this crop in dollars Round your answer to two decimal places Find a 90 confidence interval for the population mean cash value of this crop in dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places

How much does a sleeping bag cost Let s say you want a sleeping bag that should keep you warm in temperatures from 20 F to 45 F A random sample of prices for sleeping bags in this temperature range is given below Assume that the population of x values has an approximately normal distribution 60 105 90 115 120 70 60 30 23 100 110 95 105 60 110 120 95 90 60 70 LUSE SALT a Use a calculator with mean and sample standard deviation keys to find the sample mean price x in dollars and sample standard deviation s in dollars Round your standard deviation to four decimal places X S b Using the given data as representative of the population of prices of all sleeping bags find a 90 confidence interval for the mean priceu in dollars of all sleeping bags Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places

total amount of berries in the salad 8 The LCD is 16 www 4 my vy uomiy an appropriate ULATION no capitis caunumite i uit v OD Simplify if possible What is the next step in adding fractions when denominators are different OB Simplify if possible OC Add the numerators and the denominators 16 n OA Multiply by 1 using an appropriate notation to express each number in terms of the LCD

or cell bre his may be an advance less such as Overproduction in the body can be gout leukemia or lymphoma Over a period of months an adult male patient has taken seven blood tests for uric acid The mean concentration was X 5 43 mg dl The distribution of uric acid in healthy adult males can be assumed to be normal with o 1 87 mg dl a Find the margin of error for a 95 confidence interval for the population mean concentration of uric acid in mg dl in this patient s blood Round your answer to two decimal places mg dl Find a 95 confidence interval for the population mean concentration of uric acid in mg dl in this patient s blood Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places mg dl b What conditions are necessary for your calculations Select all that apply O uniform distribution of uric acid O is unknown On is large normal distribution of uric acid O is known c Interpret your results in the context of this problem We are 95 confident that the true uric acid level for this patient falls within this interval The probability that this interval contains the true average uric acid level for this patient is 0 95 We are 5 confident that the true uric acid level for this patient falls within this interval The probability that this interval contains the true average uric acid level for this patient is 0 05 d Find the sample size necessary for a 95 confidence level with maximal margin of error E 1 02 for the mean concentration of uric acid in this patient s blood Round your answer up to the nearest whole number blood tests

1 Find 7 N K 7 t 6 sin 2t i 6 cos 2t j 5tk

Find the length indicated portion of the curve 7 t cos t t sin t sin t t cos t t

Given the following three mRNA sequences determine which two code for the same protein Circle these two anscript anslate mRNA 1 mRNA 2 mRNA 3 AGU UUA GCA ACG AGA UCA UCG CUA GCG ACC AGU UCA AGC CUC GCC ACU CGU AGU

Graph the line with y intercept 5 and slope alin 2 5

Please tell me this isn t happening exclaimed Sayen I m so sorry said Dr Sheng your grandfather s foot is infected Because of his diabetes he has poor circulation and by the time he finally sought medical attention it was too late We ll have to amputate the foot before the infection spreads further Don t you dare blame this on my grandfather Do you know why he didn t seek medical attention He doesn t have good health insurance He can t afford to run to the doctor every week I realize that There is nothing else we can do We have tried several antibiotic combinations The bacteria causing the infection are resistant to all of them He is stable for now but we re running out of time Ok I get it Can you please hold off on the surgery I want to talk to a friend Sayen turned to her grandfather Achak I have a friend who told me that his aunt s leg was saved using some weird treatment Let me ask him Achak looked at his granddaughter I know you want to help my child But it s too late No it s not please just let me talk to Daviti Achak stared out of the window of his hospital room Sayen saw him give just the slightest nod She raced out of the room to find a spot where her cell phone would have adequate reception Daviti It s Sayen I remember you told me how they saved you aunt s leg something about a virus They re about to amputate my grandfather s foot but his favorite thing to do is walk and climb I want to save his foot Yes My brother is a researcher at Eliava the Georgian bacteriophage institute They have the largest collection of bacteriophage in the world Before there were antibiotics treating wound infections with phage was more common But since the introduction of antibiotics research into phage treatment isn t done as much anymore I took my aunt to Georgia and they saved her leg How did they do that They took samples from her wound and cultured the bacteria to figure out what types of bacteria were causing the infection Then they cultured the bacteria mixing them with some of the bacteriophage they had success with in the past They made a mixture of a few of the bacteriophage that formed plaques on the culture and they applied that to my aunt s wound Every couple of days they would take new samples and try again Why did they do that asked Sayen Because sometimes the bacteria can become resistant to the phage It s much less likely if they use a mixture of phage but they wanted to keep track Her wound started clearing up by the next day It did take a while but they managed to save the leg by cleaning the wound regularly and applying mixtures of phage It s called phage therapy Do you think I can send them a sample from my uncle s leg in the mail No you cannot do that It s against the law to send bacteria through the mail Especially since they are obviously resistant to antibiotics The only way to do this is for your uncle to travel to Georgia But my uncle can t travel he s too sick Thanks Daviti I m going to talk to the doctor Sayen returned to the room Dr Sheng was still there just finishing up his examination of her grandfather She relayed to him what she had just learned Your uncle doesn t have time to travel to Georgia As far as I know there is no laboratory in this country that has such an extensive selection of phage and it is really really hard to get FDA approval for this type of therapy Well I want to try Who should I call first

Compute the amount to be paid for each of the four separate invoices assuming that all invoices are paid within the d Merchandise gross 3 b S C d 5 000 20 000 75 000 10 000 Terms 2 10 n 60 1 15 n 90 1 10 n 30 3 15 n 45 Payment

21 TIME REMAINING 01 53 46 Which of the following scenarios exhibits a function relation Take the first set listed to be the domain of the relation O the set of tree heights and the set of trees in a forest O the set of car make and models and the set of people in a certain town O the set of birthdays and the set of students in a class O the set of people with Social Security cards and the set of Social Security numbers

6 5 1 to k LE F 3 LE 4 3 2 14 2 CD wy 5 8 X O domain 5 4 3 2 0 1 2 3 4 5 domain 3 2 0 1 4 O domain 5 4 3 1 2 5

roblem 6 Find the interval of convergence of the following power series x 6 n 5 n n 1 A 1 11 B 1 11 C 1 11 D 1 11 E 1 11 F 1 11 G 1 11 H 1 11 Problem 6 Select v

Show all calculations tes of point P in the figure below are as shown What is the moment of force F about point P 25 Points P 90 0 F 1 200 lbs 30 X J s in go 905in 30 45 1200 in30 Efy 20ocos 30 1200 45 5

Problem 7 Find the radius of convergence of the following power series n 1 7x 2 Enter your answer symbolically

What is the smallest number of terms of the series 1 1 that would have to be added in order to n 5n n 1 estimate its sum with an absolute error that is less than 01 2 hole 1 5 L

Y P 45 45 F3 10 000 lbs F2 F1 23 000 lbs 1

Finding Population Statistics In Exercises 13 and 14 find the range mean variance and standard deviation of the population data set 13 Drunk Driving The numbers of alcohol impaired crash fatalities in thousands per year from 2005 through 2015 Source National Highway Traffic Safety Administration 14 13 13 12 11 10 10 10 10 10 10

If we determine that r is strong r 2 is high and sis small we can conclude that x causes y the data may be linearly associated a linear model is better than a non linear model

oblem 3 Which of the following series are conditionally convergent 1 Problem 3 0 n 1 ii 1 5 4 iii arctan n n n 2 G 1 1 n 4 n A ii only B all of them C i and ii only D iii only E i only F none of them G ii and iii only H i and iii only

Given the quadratics in general from a 1 find the roots x ints solutions zeros f x x 7x 18 x 7x 186 y x 8x 12 y x 6x 8 y x 6x 7 x 4x 21 f x x 3x 4 2 f x x 7x 15 Write an equation in general form that has the x intercepts of 3 0 and 5 0

A 19 1 foot ladder leans against a building The base of the ladder is 7 ft from the building How high up the building does the ladder reac ft 19 ft

per year and the rest earning a rate of 1 per year After one year the total interest earned on these investme Phyllis invested 11 000 a portion earning a simple interest rate of 1 was 150 00 How much money did she invest at each rate at 1 per year 1 1 at 1 per year

A running track has the shape shown in the figure with straight sides and semicircular ends If the length of the track is 470 yd and the two straight parts are each 100 yd long what the semicircular parts to the nearest yard yd 100 yd

You are part of a research team studying the kit fox population in the San Joaquin Valley You observe that the abundance of foxes varies depending on the presence of coyotes their main predator Your research team designs an experiment to compare the abundance of kit foxes for areas with and without coyotes n 10 sampling areas per area type Below are the data the team recorded for kit fox abundance for each area Provide your answers below in either blue red or purple to make your responses obvious to your instructor Submit this page to the lab assignment on Canvas Coyote 16 10 15 13 7 14 15 9 12 17 No coyote 20 17 25 27 22 19 26 30 24 25 1 What is the independent variable 0 5 pt 2 What is the dependent variable 0 5 pt 3 What are the null and alternate hypotheses 1 pt 4 Create an appropriately formatted descriptive statistics table as discussed in class Your table should include the mean standard deviation standard error of the mean and the lower and upper 95 confidence intervals for each habitat Do NOT include any other descriptive statistics in your table Your table cannot be handwritten 2 pt 5 Create an appropriately formatted comparison of means figure with caption in Excel as discussed in class Use 3 significant figures for decimal values Make sure to include 95 confidence intervals for error bars for each mean symbol 2 pt 6 Conduct a t test and report the results to determine if the groups of kit foxes are different 3 pt 7 Draw a conclusion based on your results 1 pt

Suppose a single bacterium is placed in a bottle at 11 00 am It grows and at 11 01 divides into two bacteria These two bacteria each grow and at 11 02 divide into four bacteria which grow and at 11 03 divide into eight bacteria and so on Now suppose the bacteria continue to double every minute and the bottle is full at 12 00 How many bacteria are in the bottle at 11 55 What fraction of the bottle is full at that time There will be bacteria in the bottle at 11 55 Type your answer using exponential notation

10 5 in 25 in 24 in 11 X

The lengths for the sides of a triangle are given Classify each triangle as acute rig 14 3 3 4 15 15 12 9