Questions

REASONING In Exercises 29 34 tell whether it is possible for a cross section of a cube to have the given shape If it is describe or sketch how the plane could intersect the cube 29 circle 31 rhombus 30 pentagon 32 isosceles triangle 33 hexagon 34 scalene triangle

A 120 000 5 200 day note dated June 6 is discounted on October 8 The discount period is 124 days 76 days 142 days 67 days None of these

If the function f x csc sec is periodic what is its period 3 3 O a The period is 9 O b The period is T O c The function is not periodic d The period is 6

A variable rate mortgage means The interest rate is not fixed The interest rate is fixed for five years The rate is not subject to change Larger monthly payments than a fixed rate None of these

A 25 000 15 80 day note dated November 5 is discounted at National Bank on January 5 The discount period is 80 days 19 days 61 days 91 days None of these

een pr you com Practice Pedigrees mine the inheritance patern of each of the following pedigrees Then label the genotypes of each individual in the pedigrees

The sign of sin 0 is negative and the sign of cos 0 is negative In what quadrant is located O a is in Quadrant I O b is in Quadrant III Oc is in Quadrant III O d is in Quadrant IV

Solve for t K 5 3 3 t for t 0

Two high school statistics students are studying in their school s library They see the librarian seemingly selected random books from the shelves The two students wonder aloud what they believe the librarian is doing Student 1 states I bet she is selecting random books to try and find the average page number for the books in the library Student 2 states No I think she is selecting random books to estimate the proportion of books per category fiction non fiction etc Which student is correct

Find the coordinates of the vector 2 5 with respect to the order basis 3 1 13 4 Answer

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 standa deviation of 650 At a 0 01 can you support the claim Complete parts a through e below Assume the population is normally distributed 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 t and t U OC 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 OA Reject Ho because the test statistic is not in the rejection region OB Fail to reject Ho because the test statistic is not in the rejection region OC Fail to reject Ho because the test statistic is in the rejection region n Reject Ho because the test statistic is in the rejection region B

Cooper Corporation must evaluate two capital expenditure proposals Cooper s hurdle rate is 10 Data for the proposals follow Required investment Annual after tax cash inflows After tax cash inflows at the end of years 3 6 9 and 12 Life of project Proposal X Proposal Y 120 000 120 000 24 000 72 000 12 years 12 years What is the cash payback period for Proposal X For Proposal Y Hint For Proposal Y in what year 3 6 9 or 12 will the full original investment be recovered Round Proposal X answer to one decimal place if applicable Proposal X 0 years Proposal Y

The function is given by j x 4 3 tan A x 1 2zk where k is an integer B x k where k is an integer 22 C x zk where k is an integer D x x 2xk where k is an integer Which of the following gives the vertical asymptotes of j

2 The area of the region between the graph of y x 8x 9 and the x axis is

d 4x Find 1 28 dt dx 6 4x d dr 1 8 dt

1 ss between SS between Ea I n 2 T N SS between 57 47 21 1252 7 SS 98 671 21

Consider the series n 1 1 113 1 n 6 4 12n 2 In this problem you must attempt to use the Ratio Test to decide whether the series converges Compute 12 818 an 1 an Enter the value of L If L is finite enter the numerical value Otherwise enter INF if L diverges to infinity INF if it diverges to negative infinity or DIV if it diverges but not to infini egative infinity 0 Which of the following statements is true The Ratio Test says that the series converges absolutely The Ratio Test says that the series diverges The Ratio Test says that the series converges conditionally The Ratio Test is inconclusive but the series converges absolutely by another test or tests The Ratio Test is inconclusive but the series diverges by another test or tests

The area of the region between the graph of y r 8x 9 and the x axis 2

Average Rate of Return Lakeland Company is considering the purchase of equipment for 175 000 The equipment will expand the Company s production and increase revenue by 40 000 per year Annual cash operating expenses will increase by 12 000 The equipment s useful life is 10 years with no salvage value Lakeland uses straight line depreciation The income tax rate is 25 What is the average rate of return on the investment Do not use negative signs with your answers Increase in revenue 0 Increase in expenses 0 Pretax income from investment 0 Income tax expense 0 Net income from investment 0 Round answer to the nearest whole percentage if applicable Average rate of return on investment

5n An 10n 3 For both of the following answer blanks decide whether the given sequence or series is convergent or divergent If convergent enter the limit for a sequence or the sum for a series If divergent enter INF if it diverges to infinity INF if it diverges to minus infinity or DIV otherwise The series An 4 n 1 a b The sequence An 10 5

Directions After identifying the amino acid sequences for your gene follow the model below to construct the resulting structure of each protein on your own sheet 1 Using graph paper provided start your sequence in the third box down and third box from the left 2 The original protein will be contained within the first sheet and the other three proteins should each be on their own sheets for comparison 3 Write the first three letters of the amino acids into the three boxes if space allows Where boxes may be too small shade the boxes in and label each amino acid next to that shape 4 Use the key on the following page to assemble each protein Once all 4 models have been drawn on your graph paper you can more easily determine where the shape of the protein has changed if at all Circle the point at which the shape first changed in each altered protein Answer the following questions based on your completed translated sequences What is an addition insertion What is a substitution What is a frameshift What is a silent mutation Of the four mutation types above which can cause one of the others Explain using evidence

Keith needs 5040 for a future project He can invest 3000 now at an annual rate of 6 2 compounded semiannually Assuming that no withdrawals are made how long will it take for him to have enough money for his project Do not round any intermediate computations and round your answer to the nearest hundredth

19 3 20 21 7x8 4 8

What is the value of 3 5 b and c 2 5 ac C 2 2 c 2 a b c a if a 1 2 10 2

What is the value of 2 2 10x if a 2 b 3 and c 5 b a C 1012 2 10X 3 2 5

7 9 2 p 6q r What is the value of 2p 9 if p 4 q and r 2 2 7 42 2 4 6 C

72 3 2

What is the value of 9 2x z y if x 4 y 1 and z 3

5 12 12 3

72 9 8 2

The pressures caused by pure tones on the eardrum are sinusoidal The change in pressure P in pounds per square foot on a person s eardrum from a pure tone at time t in seconds can be modeled using the equation P Asin 2xft d where f is the frequency in cycle per second and is the phase angle When P is positive there is an increase in pressure and the eardrum is pushed inward when P is negative there is a decrease in pressure and the eardrum is pushed outward A graph of a tone P t 008 sin 2x 274 42 t shown to the right Complete parts a through c below 2 274 421 is 008 Q 005 Q 008 a Determine algebraically the values of t for which P 0 over 0 005 The solution set is Round to five decimal places as needed Use a comma to separate answers as needed b From the graph and your answer in part a determine the interval for which P 0 over 0 005 Type your answer in interval notation c Would an eardrum hearing this tone be vibrating outward or inward when P 0 Outward

Determine the sum of the following series

Find the values of x so that the series below converges Give your answer in interval notation iM8 n 0

Consider the series Compute iM8 an where 7m 4 an 8n 5 6 In this problem you must attempt to use the Ratio Test to decide whether the series converges L lim 11 00 an 1 an Enter the numerical value of the limit L if it converges INF if it diverges to infinity INF if it diverges to negative infinity or DIV if it diverges but not to infinity or negative infinit L 1 Which of the following statements is true A The Ratio Test says that the series converges absolutely B The Ratio Test says that the series diverges C The Ratio Test says that the series converges conditionally D The Ratio Test is inconclusive but the series converges absolutely by another test or tests E The Ratio Test is inconclusive but the series diverges by another test or tests The Ratio Test is inconclusive but the series converges conditionally by another test or tests

If the following series converges compute its sum Otherwise enter INF if it diverges to infinity INF if it diverges to minus infinity and DIV otherwise n 1 3 3 8n 8n

Determine the sum of the following series

Consider the series Determine whether the series converges and if it converges determine its value IM 8 cos 1 6

ble or technology to answer this question Minnesota had the highest turnout rate of any state for the 2016 presidential election Political analysts wonder if turno in rural Minnesota was higher than turnout in the urban areas of the state A sample shows that 630 of 840 registered voters from rural Minnesota voted in the 2016 presidential election while 396 out of 550 registered voters from urban Minnesota voted a Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election Let P1 the population proportion of voters in rural Minnesota who voted in the 2016 election and p2 the population proportion of voters in urban Minnesota who voted in the 2016 election Ho P1 P220 HP1 P2 0 Ho P1 P2 0 Ha P1 P20 O Ho P1 P20 Ha P1 P2 0 Ho P1 P 0 HP1 P2 0 O Ho P1 P2 0 Ha P1 P20 b What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election c What is the proportion of sampled registered voters in urban Minnesota that voted in the 2016 presidential election d At 0 05 test the political analysts hypothesis Calculate the test statistic Round your answer to two decimal places What is the p value Round your answer to four decimal places p value What conclusion do you draw from your results Do not reject Ho We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election Reject Ho We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election Do not reject Ho We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election Reject Ho We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election

Tourism is extremely important to the economy of Florida Hotel occupancy is an often reported measure of visitor volum and visitor activity Hotel occupancy data for February in two consecutive years are as follows Current Year Previous Year Occupied Rooms 1 470 Total Rooms 1 750 1 458 1 800 a Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one year period Let p population proportion of rooms occupied for current year and P population proportion of rooms occupied for previous year HoP P 0 HP P O HP P O Oo P P 0 H P P 0 Hoi P P 20 HP1 P2 0 Hoi Py P 0 Ha P P 0 b What is the estimated proportion of hotel rooms occupied each year current previous c Calculate the test statistic Round your answer to two decimal places What is the p value Round your answer to four decimal places p value Using a 0 05 level of significance what is your hypothesis test conclusion Reject Ho There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate Do not reject Ho There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate Reject Ho There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate Do not reject Ho There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate d What is the 95 confidence interval estimate of the change in occupancy for the one year period Round your answers to four decimal places to Do you think area officials would be pleased with the results The 95 confidence interval Select zero This suggests that the occupancy rates for the current year

10 A large sample hypothesis test with known of a null hypothesis 15 against the alternative hypothesis 15 results in a test statistic of z 1 37 Assuming is known the corresponding p value is approximately Hint since is known we will use a z score with a normal distribution normalcdf A 0 0853 B 0 1707 C 0 4147 D 0 8293 E 0 9147

standard deviation of the monthly percentage return for a mutual fund as a measure of the risk for the fund in such cases a fund that has a larger standard deviation is considered more risky than a fund with a lower standard deviation The standard deviation for a certain fund referred to as Fund A and the standard deviation for a second fund Fund B were recently reported to be 15 0 and 18 9 respectively Assume that each of these standard deviations is based on a sample of 60 months of returns Do the sample results support the conclusion that the Fund B has a larger population variance than Fund A Assume that a 0 05 State the null and alternative hypotheses H 2 02 02 2 H02022 2 Find the value of the test statistic Find the p value Round your answer to four decimal places p value State your conclusion Do not reject Ho We cannot conclude that the Fund B has a greater variance than Fund A Reject Ho We can conclude that the Fund B has a greater variance than Fund A Do not reject Ho We can conclude that the Fund B has a greater variance than Fund A Reject Ho We cannot conclude that the Fund B has a greater variance than Fund A Which fund is more risky

Use Laplace transform to solve the following initial value problems 1 2 y 10y 9y 5t y 0 1 g 0 2 y 3y 2y e y 0 1 y 0 0 3 y 6y 15y 2 sin 3t y 0 1 y 0 4 Question 2 Find the Fourier series representation of the following function f x 0 x 0 x 0 x and has period 2 Question 3 Find the Fourier transform of the following function f x x x 1 otherwisu

In an analysis of variance which value is determined by the size of the sample mean differences OSSwithin O dfwithin Odfbetween

An analysis of variance produces SS between 40 and MS many treatment conditions are being compared between 20 In this analysis how 2 20 03

The between treatments variance measures the overall differences between treatment conditions True False

when x 0 Exercise 4 5pt Decide if the following function is continuous 2x 3x when x 0 a f x 0 when 0 3x when x 0 b f x 0 when r 0 2x when a 0

0 5 pts For an independent measures experiment comparing two treatment conditions with a sample of n 10 in each treatment what are the correct df values for the F ratio O 1 19 O2 19 O2 18 1 18

An analysis of variance produces SS between 30 SS within 60 and an F ratio with df 2 15 For this analysis what is the F ratio O30 60 0 50 O4 15 0 27 O 60 30 2 00 15 4 3 75

Set up the definite integral required to find the area of the region between the grap of y 18 2 and y 2x 3 dx

The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n 10 participants in each treatment Note that several values are missing in the table What is the missing value for SS total Source SS df MS Between 20 XX xx F xx Within XX XX 2 Total XX XX 54 30 22