Questions

The bar graph shows the results of spinning a spinner 60 times Find the experimental probability of each event Enter your probabilities as fractions Spinning a Spinner 16 Times spun 642086420 14 12 10 1 2 3 4 5 Number spun a Spinning a 4 13 100 b Spinning an even number 11 30 Spinning a number greater than 2

A credit card company claims that the mean credit card debt for individuals is greater than 4 900 You want to test this claim You find that a random sample of 37 cardholders has a mean credit card balance of 5 046 and a standard deviation of 650 At a 0 01 can you support the claim Complete parts a through e below Assume the population is normally distributed What is are the critical value s to to 2 435 Use a comma to separate answers as needed Round to three decimal places as needed Determine the rejection region s Select the correct choice below and fill in the answer box es within your choice Round to three decimal places as needed OA t C t B t and t D t 2 435 c Find the standardized test statistic t t 1 37 Round to two decimal places as needed d Decide whether to reject or fail to reject the null hypothesis A Reject Ho because the test statistic is not in the rejection region B Fail to reject Ho because the test statistic is not in the rejection region C Fail to reject Ho because the test statistic is in the rejection region OD Reject Ho because the test statistic is in the rejection region e Interpret the decision in the context of the original claim OA At the 1 level of significance there is not sufficient evidence to support the claim that the mean credit card debt is greater than 4 900 OB At the 1 level of significance there is sufficient evidence to support the claim that the mean credit card debt is less than 4 900 OC At the 1 level of significance there is not sufficient evidence to support the claim that the mean credit card debt is less than 4 900 OD At the 1 level of significance there is sufficient evidence to support the claim that the mean credit card debt is greater than 4 900

8 Your parents give you 700 to spend on books and supplies for this semester Your math book is 114 your biology book is 132 your biology lab book is 50 your English books are 142 and your drama book is 44 After you buy your books how much is left for supplies 9 Which property is represented by the following equation 23 7 2 23 7 2 Associative property of addition b Commutative property of addition c Distributive property of multiplication over addition d Additive inverse and additive identity A 10 The endpoints of a diameter of a circle C on the Cartesian plane are 5 2 and 0 2 Find the circumference of the circle C 11 The scores for your math tests are 88 81 97 97 83 78 85 95 79 82 What is your average score 12 Write 30 as the product of two odd numbers and one even number each of which is greater than 1 13 On a scavenger hunt you are supposed to cover an area on a map represented by a 2 cm by 5 cm rectangle to find clues for your hunt If the scale drawing on the map is 1 cm equals 20 feet what is the area in square feet you are supposed to cover 14 Find the answer to the following 13 5x3 3x6 2 12 15 True or False a a a xa 0 b a a a a 0 c axa axa 1 d aa xa 0

According to the formal definition of the definite integral if the function f x is continuous on the interval a b then f x dx f x dx lim 100 where Ax interval 3 and the value of x is in the

Use the appropriate formula to calculate each permutation or combination a P 18 4 b C 9 4 c P 100 2 d C 7 4

Compute the given integral 10 cos sin x dr

ASK YOUR TEACHER A college calculus class consists of 26 females and 14 males There are 8 biology majors 18 mathematics majors and 14 computer science majors If a student is chosen at random what is the probability that the student is a male Enter your probability as a fraction What is the probability that the student is a mathematics major Enter your probability as a fraction Nood Holm2

A research center claims that more than 31 of employees in a certain country have changed jobs in the past four years In a random sample of 140 people from that country 49 have changed jobs in the past four years At a 0 10 is there enough evidence to support the center s claim Complete parts a through d below a Identify the claim and state Ho and Ha Identify the claim in this scenario Select the correct choice below and fill in the answer box to complete your choice Type an integer or a decimal Do not round OA The percentage of employees in the country who have changed jobs in the past four years is not OB At most C years of employees in the country have changed jobs in the past four of employees in the country have changed jobs in the past fouryears OD More than years of employees in the country have changed jobs in the past four

Compute the given integral Enter the exact value of the answ 1 dx 1 64x2 2

What are the two serological tests that we used to test for COVID 19 PCR and ELISA ELISA and Microneutralization Microneutralization and rRT PCR

Why do we use positive control in the reaction To use it as a benchmark result for the unknown test sample To test the efficiency of the PCR To test for viral RNA Both To use it as a benchmark result for the unknown test sample and To test the efficiency of th

Let g w 12w2 2 Determine the average value g c of g over 7 2 g c Determine the value s of c in 7 2 guaranteed by the Mean Value Theorem C

There are 10 400 students at JSU If 40 percent of the students live on campus select the correct method to be used to calculate the number of students living on campus and find the answer a 40 x 10 400 b 1 40 x 10 400 C 2 5 x 10 400 d 5 x 10 400 4 The area of a rectangle is represented by A Lx W If the area is equal to 28 which expression represents W a 28L b 28 L C L 28 d A 28L F What is the additive inverse of 1 3x What is the multiplicative inverse of 1 3x You need to replace a board on your front porch which is 10 3 feet long If the board I you purchased is 12 feet long how much do you need to cut off in order to have the correct size for the replacement board 424 2 4 2 424 53 424 2 424 2 424 4 12 2

A humane society claims that less than 68 of households in a certain country own a pet In a random sample of 600 households in that country 396 say they own a pet At a 0 01 is there enough evidence to support the society s claim Complete parts a through c below a Identify the claim and state Ho and Ha Identify the claim in this scenario Select the correct choice below and fill in the answer box to complete your choice Type an integer or a decimal Do not round O A Less than of households in the country own a pet OB The percentage households in the country that own a pet is not OC of households in the country own a pet O D D More than of households in the country own a pet

display results from a test of the claim that hall of us say that we should replace passwords with biometric security Use the normal distribution as an approximation to the binomial distribution Use the display and a 0 10 significance level to complete pers a through e a is the best two tailed bolt tailed or right bailed Choose the correct answer below leit tailed two tailed right tailed b What is the test statistic 21 27 Round to two decimal places as needed c What is the P value P value 0 205 Round to three decimal places as needed d What is the null hypothesis and what do you conclude about it The null hypothesis is Ho P 05 where p denotes the population proportion of people who say that we should replace passwords with biomeline security Fail to act the not hypothes Type an integer or a decimal Do not round

Although the ELISA test is a powerful technique some of its disadvantages are the relatively long time to obtain a result and its inability to test for an active immune response against an infection True False

grams a How many different anagrams including nonsensical words can be made from SUCCESS b How many can be made if we require that the first and last letters must both be S c How many distinct arrangements of the word SUCCESS are there with the condition that con sonants always should come together as one block Examples SSSCCUE SSSCCEU CSSSCEU etc

Which of the following is the hypothesis test to be conducted A Hop 05 H p 05 Ho p 05 H p 05 OEM p 05 Hy D 05 What is the test statistic 20 Round to two decimal places as needed OB Ho P 05 H p 05 OD Ho p 05 H p 0 5 OF 16 0205 H p 05

Four jars of coins each contain 144 coins The theoretical probability of randomly drawing a quarter is given in simplified form Find the number of quarters in each a 153 quarters per jar b c 91 6 49 quarters per jar 38 2 d 3 quarters per jar quarters per jar

What does real time mean in rRT PCR A relatively small amount of PCR product can be quantified All of these choices It can be used to screen for results in Real Time We can monitor the progress of a PCR while its running

According to affect control theory people act differently from one situation to the next because they have different identities Give 2 specific and detailed examples for when this has occurred with you e g how you act at work vs how you act with friends describe a few at least 3 behaviors of you at work and 3 behaviors you display with friends Each example described is worth 2 points Maximum 4 points Provide details of you when you take on each of these two identities

In a study of cell phone usage and brain hemispheric dominance an Internet sur was e mailed to 6968 subjects randomly selected from an online group involved ears There were 1333 surveys returned Use a 0 01 significance level to test the claim that the return rate is less than 20 Use the P value method and use the normal distribution as an approximation to the binomial distribution Identify the null hypothesis and alternative hypothesis A Ho p 0 2 H p 0 2 C Ho p 0 2 H p 0 2 E Ho p 0 2 H p 0 2 The test statistic is z Round to two decimal places as needed B Ho p 0 2 H p 0 2 D Ho p 0 2 H p 0 2 OF Ho p 0 2 H p 0 2

You and your friend want to take graduation pictures with a few of your fellow computer science class mates making 10 of you in total You hired a very expensive photographer for the occasion and want to make the most of the experience You want to select four students to stand in the front of the group in a line In how many ways is it possible to take the pictures such that a you have a place at the front of the group photo b you and your friend have a place together at the front of the group photo

Describe the genetic material of SARS CoV 2 O ds DNA ve sense ssRNA ve sense ssRNA 5 DNA Question 4 1 point Listen Why do we use no template control in the reaction To screen for CDNA To test for viral RNA To screen for any contamination in the reagents

What is an amplicon O Target ds DNA none of these ss DNA Target ss viral RNA

K In a newspaper s survey of 453 people 53 said that we should replace passwords with biometric security such as fingerprints The accompanying Statdisk display resulls from a lest of the say that we should replace passwords with biometric security Use the normal distribution as an approximation to the binomial distribution Use the display and a 0 10 significance level to complete parts a through a a Is the test two tailed left tailed or right tailed Choose the correct answer below Oleft tailed two tailed right tailed b What is the test statistic z 1 27 Round to two decimal places as needed c What is the P value P value 0 205 Round to three decimal places as needed d What is the null hypothesis and what do you conclude about it umothoci 0 5 where n denotes the population proportion of people who say that we should replace passwords with biometric security Fail to reject the null hypothesis

5 Binomial Theorem Using the Binomial Theorem what is the coefficient of a x 13 in x 2 30 b y13 in 2 y 30

What are the assay controls in this experiment Positive control negative control and no template control Internal control negative control No controls were used Positive control no template control Question 2 1 point Listen Which of the following is not a component of rRT PCR DNA probe virus particle Primers Reverse transcriptase

If Rita receives 41 14 interest for a deposit earning 5 simple interest for 140 days what is the amount of her deposit Round your answer to the nearest cent X Suggested tutorial Learn It Calculate the Interest Rate the Present Value or the Time for an Investment Using the Simple Interest Formula Nood

Which of the following is not a component of rRT PCR DNA probe virus particle Primers Reverse transcriptase Reaction Buffer

Why do we use no template control in the reaction To screen for cDNA To test for viral RNA To screen for any contamination in the reagents To screen for other nucleic acid in the reaction

Fluorescent signals from the reporter dye are number of amplicons that are generated Inversely proportional Indirectly proportional Cross wise proportional Directly proportional proportional to the

What is meant by the pandemic spread of SARS CoV 2 It spread through the ocean It spreads world wide It spreads only in a certain area It spreads only in one country

evenue Mo s HookNLadder is the only company selling fire engines in the fictional country of Alexandrina Mo initially produced eight trucks but then decided to increase production to nine trucks The following graph gives the demand curve faced by Mo s HookNLadder As the graph shows in order to sell the additional fire truck Mo must lower the price from 80 000 to 60 000 per truck Notice that Mo gains revenue from the sale of the additional engine but at the same time he loses revenue from the initial eight engines because they are all sold at the lower price Use the purple rectangle diamond symbols to shade the area representing the revenue lost from the initial eight engines by selling at 60 000 rather than 80 000 Then use the green rectangle triangle symbols to shade the area representing the revenue gained from selling an additional engine at 60 000 110 100 90 22 80 70 PRICE Thousands of dollars per fire engine 60 50 40 30 20 10 O Revenue Lost Demand 2 3 4 5 6 7 8 9 10 QUANTITY Fire engines Revenue Gained Mo increase production from 8 to 9 fire engines because the dominates in this scenario True or False If alternatively Mo s HookNLadder were a competitive firm and 80 000 were the market price for an engine decreasing its price from 80 000 to 60 000 would result in the same change in the production quantity and thus total revenue O True

Your field experience instructor wants to line up 9 cars for transportation to a grade school Between you and your classmates there are 25 cars available How many different groups of cars are possible different groups

Find the number of permutations of each group of letters a G E C K O permutations b P Y T H A G O R U S permutations

ASK YOUR TEA The dial of a combination lock has the numbers 0 through 38 The combination to open the lock is actually an ordered sequence of 3 numbers Each ordered sequence from your textbook is called an outcome How many outcomes are possible for this lock outcomes

The manager of a baseball team must determine the batting order of the nine starting players a Is the possible number of outcomes found using permutations or combinations Explain your reasoning since the order Select matter The possible number of outcomes is found by using a Select b How many different batting orders are possible orders

You throw four softballs at the strike zone target shown The softballs are equally likely to hit any point of the strike zone target What is the probability that the first softball hits zone 1 second softball hits zone 3 the third softball hits zone 2 and the fourth softball hits zone 4 Enter your probability as a fraction T 6 in 1 2 12 in 3 4

Determine the number of possible outcomes for each experiment a Flipping a coin outcomes b Rolling a standard die outcomes c Choosing a letter from the alphabet outcomes

Scholarship A is worth 1000 and costs 10 to apply Scholarship B is worth 4000 and costs 25 to apply You have a 4 chance of receiving Scholarship A and the Scholarship B a What is your expected value for Scholarship A b What is your expected value for Scholarship B c You can only apply for one scholarship Which one should you choose O Scholarship A O Scholarship B

ASK YOUR You are given a bag with 8 green marbles 6 blue marbles 12 yellow marbles and 10 red marbles Find the theoretical probability of each random event Enter your probabilitie fractions a Drawing a green marble b Drawing a red marble c Drawing a marble that is not yellow

Serology testing is used to detect previous infection antibodies to SARS CoV 2 in people who may have been exposed to the virus True False Question 6 1 point Listen The purpose of doing Microneutralization assay is to confirm the positive result that is obtained by ELISA True

You cannot remember your 5 digit bike lock combination What is the probability that you guess the combination correctly Enter your probability as a fraction

The cells resulting from the microneutralization assay should be counted with a Spectrophotometer Hemocytometer Crystal violet stain

Which serum sample contains antibodies that block infection Sample A Sample B A Neither OB Both

There is a line through the origin that divides the region bounded by the parabola y 2x 4x2 and the x axis into two regions with equal area What is the slope of that line

A volume is described as follows 1 the base is the region bounded by x y 16y 50 and z y 20y 110 2 every cross section perpendicular to the y axis is a semi circle Find the volume of this object volume

b A paint company has developed a new paint formula which should have a faster drying time compared to the old formula Paint drying time is known to be normally distributed and from previous tests it is known that the original paint formula has a mean drying time of 45 min The company s R D scientists believe the new formula will have a mean drying time of 235 min that is they expect the new formula to dry an average of 10 min faster than the old formula or that 10 They aren t sure what the population variances are yet but the new formula is not expected to affect the variance in drying time A scientist takes 10 samples of each paint formula and determines the mean drying time for each batch to be X 45 min and X2 34 min with sample variances equal to s 6 5 min and s 4 4 min respectively Find a 95 confidence interval on the difference in average lifetime between the two populations

Approximate to the nearest 10 the solutions of the equation in the interval 0 360 If there is no solution enter NO SOLUTION sin2 t 8 sin t 5 0 t Need Help smaller value larger value