Questions

b Determine whether or not the vectors 1 1 1 1 2 3 and 2 1 1 form a basis for the vector space R c Solve the following system of equations by row echelon form 2x y 2z 8 3x 2y 4z 15 5x 4y z 1

1a Show that the set S is consisting of all four vectors whose first and last components are equal to zero is a subspace of R4

3 22 0 5 4 3 2 1 1 2 3 4 5 6 2 H 3 Identify the function whose graph appears above f x

What is the difference between a memorized presentation and an extemporaneous presentation Which one is more effective Why

Use synthetic division to divide x4 3x 2x 2x 7 by x 2 The quotient is and the remainder is Use integers or fractions for any numbers in the expression

Divide using synthetic division x 9x 3x 2 X 5 x3 9x2 3x 2 remainder X 5

f x x x 1 x 2 Choose the correct graph below O A 50 a 10 10 10 Confusing the techniques relating to end behavior zeros and multiplicity intercepts symmetry and turning points OB 50 C 50 10 10 E 10 10 G 50 OD 50 10 EMMAN 50 10

If the polynomial f x has x 2 as a factor then f 2 0 Choose the correct answer below OA True because by the Factor Theorem if x 2 is a factor of f x then f 2 0 OB False because by the Factor Theorem if x 2 is a factor of 1 x then f 2 f 0 OC False because by the Factor Theorem if x 2 is a factor of f x then f x 2 0 OD False because by the Factor Theorem if x 2 is a factor of f x then f 2 0

Find the real zeros of f and state the multiplicity for each zero State whether the graph of f x 3 x 4 x 5 The real zeros of f are x 4 5 Use a comma to separate answers as needed The multiplicity of the smaller zero is Type a whole number The multiplicity of the larger zero is Type a whole number Does the graph of f cross or touch the x axis at the smaller zero The graph crosses the x axis The graph touches but does not crosses the x axis Does the graph of f cross or touch the x axis at the larger zero The graph crosses the x axis O The graph touches but does not crosses the x axis

Determine whether the following statement is true or false A polynomial function of degree n has at most n 1 zeros Choose the correct answer below OA The statement is false because a polynomial function of degree n has at most n 1 turning points and n 1 real z OB The statement is false because a polynomial function of degree n has at most n 1 turning points and 2n real zer OC The statement is false because a polynomial function of degree n has at most n 1 turning points and n real zeros OD The statement is true because a polynomial function of degree n has at most n turning points and n 1 real zeros

1 True or False a 4x 2y 4y 2x b 4x 1 4y 4y 1 4 x c x y y x d 4xy 4yx

Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial x 6 x3 8x 9x 18 Is x 6 a factor of x3 8x 9x 18 O No Yes www

A data set includes weights in grams of 36 Reese s Peanut Butter Cup Miniatures The accompanying Statdisk display shows results from using all 36 weights to test the claim that the sample is from a pop with a mean equal to 8 953 g Test the given claim by using the display provided from Statdisk Use a 0 05 significance level Click the icon to view the Statdisk display Identify the null and alternative hypotheses Ho H H H 8 953 8 953 Type integers or decimals Do not round Identify the test statistic Round to two decimal places as needed

the division 2x 5x2 x 2x 3 2x 1 2x 5 x 2x 3 the dividend is the divisor is the quotient is and the remainder is e dividend is the divisor is the quotient is and the remainder is

Consider the polynomial f x 2x 3x x 6 Write the degree of this polynomial its leading term its leading coefficient and its constant term The degree of the given polynomial is 5 The leading term is 2x The leading coefficient is The constant term is 6

The series Ratio Test Op series Test Root Test 4k 5k 4 k2k O Geometric Series Test O Comparison Test Divergence Test Alternating Series Test Select an answer according to the choose the method you used

s autosave question2981466 12 able shows the socks that are in your sock drawer You randomly choose one sock put it on your left foot then choose another Socks in a drawer White Black Green Blue Yellow a Find the probability of the compound event of choosing a black sock and then a green sock Enter your probability as a fraction 1 30 X Describe the likelihood O The event is likely The event is unlikely b Find the probability of the compound event of choosing a blue sock and then a yellow sock Enter your probability as a fraction X 3 80 Describe the likelihood

the times to test the claim that the mean of all such wait times is more than 30 minutes the accompanying Excel display is obtained Test the given claim by using the display provided from Excel Use a 0 05 significance level iClick the icon to view the Excel display Identify the null and alternative hypotheses Ho Hy Type integers or decimals Do not round Excel Display Difference 3 t Observed value 0 967 t Critical value 1 686 X

9 5 4 3 2 1 5 4 3 4 2 4 4 2 3 4 TU 5 1 4 Identify the function whose graph appears above f x

AS 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 jar a 1 1 48 3 b 11 10 6 24 3 c 1 10 72 8 d 2 3 quarters per jar quarters per jar X quarters per jar quarters per jar

How many three digit numbers can be formed under each condition a None of the digits can be 4 648 X three digit numbers b The leading digit is one of the digits 0 through 4 500 three digit numbers

There are three 20 bills five 10 bills eight 5 bills and four 1 bills in your wallet You select one bill at random What is the expected value for this experiment 7 75

Multiplication Theorem a How many ways are there to make a list of two different letters among those that appear in COAT b How many ways are there to make a list of two different letters among those that appear in MATHEMATICS c How many ways are there to make a list of two different letters where the first is a vowel and the second is a consonant among those that appear in COAT d How many ways are there to make a list of two different letters where the first is a vowel and the second is a consonant among those that anneer in MATHEMATICS

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