Questions

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

Find the area of the region between the graphs of y 12 and y 2x 3 ove the interval 2 x 9

The area is Question Help Video Written Example Question 26 Find the area of the region between the graphs of 0 1 pt 3 98 O 2 and

What value is expected on average for the F ratio in ANOVA when the null hypothesis is true Explain why this value is expected Edit View Insert Format Tools Table

The area of the region between the graph of y x x 20 and the x axis is

A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children Three samples of children are selected with n 5 in each sample One group gets no sugar one group gets a small dose and the third group gets a large dose The psychologist records the activity level for each child The data from this experiment are presented below a Do these data indicate any significant differences among the three groups Test with a 05 b Compute n the percentage of variance accounted for by the treatment No Sugar Small Dose Large Dose 5 3 6 3 3 8 1 5 G 60 1 4 2 EX 298 5 4 T 15 T 20 T 25 SS 16 SS 12 SS 20

An analysis of variance produces SS total 80 and SS within 30 For this analysis what is SSbetween 50 30 80 O110

Suppose F 2 9 F 3 5 and F z f x 3 f z 2 F z dz

Find the area of the region between the graphs of y 14 2 and y 3x 26 ove the interval 8 x 3

C Suppose F 2 1 5 dt and G x 3 3 F x 1 x7 Find the following DO NOT attempt to find a formula for F x F 3 F 3 G 3 G 3

Set up the definite integral required to find the area of the region between the grap 10 2 and y 5x 4 of y dx

Suppose F 8 2 F 9 10 and F x f x 9 f x dx 1 61 c F x

Set up the definite integral required to find the area of the region between the grap of y 12 2 and y 4x 48 over the interval 9 x 4 dm

Find the area of the region between the graphs of y 15 x and y 2x

3 Consider the language L ab2c2dkdli 0 j 0 k 1 Is this language context free If so give a PDA for the language If not prove it is not a CFL

10 Parallelogram HIJK 1J HK 18 4 JK d x x HI P A 0 6 H K 4 B B X

In 3 11 Find the indicated information P is perimeter A is area Round answers to the nearest tenths Drawings are not to scale Don t Forget Units 3 11 m 4 X 21 ft 8 1 m P 6 4 m x P A 20 ft

In 1 2 Use Pythagorean s Theorem to find the value of x in each right triangle Round answers to the nearest tenths Drawings are not to scale Don t Forget Units 1 18 in 5 in x X 2 8 in A 36 in 11 in x

1 Consider the following grammar ScScc A AaaaAbb aaaDbb DddD d a Describe the language produced by this grammar in set notation i e L ie th same format used in other problems e g 2 below Briefly explain your reasoning b Come up with a PDA that accepts the same language

Find the value of the trig function indicated sin e 5 13 13 13 12 12 13 2 6

2 Consider the language L amb2mc m n 0 m odd n even Is this language context free If it is give a GRAMMAR that accepts it else prove it s not a CFL