Questions

Multiply Write your answer in simplest form y y 9y 6y 1 8

ages 18 64 395 say they have gone to the dentist in the past year Construct 90 and 95 confidence intervals for the population proportion Interpret the results and compare the widths of the confidence intervals If convenient use technology to construct the confidence intervals The 90 confidence interval for the population proportion p is Round to three decimal places as needed The 95 confidence interval for the population proportion p is Round to three decimal places as needed Interpret your results of both confidence intervals OA With the given confidence it can be said that the population proportion of males ages 18 64 who say they have gone to the dentist in the past year is between the endpoints of the given confidence interval OB With the given confidence it can be said that the sample proportion of males ages 18 64 who say they have gone to the dentist in the past year is between the endpoints of the given confidence interval OC With the given confidence it can be said that the population proportion of males ages 18 64 who say they have gone to the dentist in the past year is not between the endpoints of the given confidence interval Which interval is wider The 90 confidence interval The 95 confidence interval

Divide Write your answer in simplest fo 1 n n 1

To evaluated we can use A Only Partial Fraction Decomposition B Both Trigonometric substitution or Partial Fractions C None of these D Only Trigonometric Substitution x 3sec E Only Integration by Parts

Multiply Write your answer in simplest form 12s s 1 s 2 3s 1 8s 16s

S 1 point The function is defined by f z a sin b a c d for constants a b c and d In the y plane the points 2 2 and 4 4 represent a minimum value and a maximum value respectively on the graph of f What are the values of a and d a type your answer d type your answer

The best way to evaluate ft2 et dt is by using A Substitution B Partial Fraction Decomposition C Integration by Parts D None of these

the excluded value for y 4 x 4

Task 1 Modelling a real world situation You have been asked to sell tickets to a charity event You know that as the price of the ticket increases there will be less people who are able to attend Your task is to come up with the equation which would best model the ticket price in compared to the revenue Let x represent the price of the ticket and y represent the revenue in you would be able to raise for charity Unit Price 5 Profit 11250 10 12000 15 12250 20 12000 25 11250 30 10000 35 8250 6000 3250 40 45 a Copy the table and graph the points you see and include the line of the best fit You may use the graphing software to help you have to adjust this after you have completed task 2

The differentiation rule that helps us understand why the Substitution rule works is A Both rules B None of these C The product rule D The chain rule

You want to estimate the area underneath the graph of a positive function by using 4000 rectangles of equal width The rectangles that must give the best estimate of this area are those with height obtained from the OA Left endpoints B Right endpoints C Midpoints D We do not have enough information to decide

What is the excluded value for y X 6

The best way to evaluate fz2 In z dz is by using A Integration by Parts B None of these C Partial Fraction Decomposition D Substitution

What is the equation of the horizontal asymptote of y X

Suppose you owe 500 on your credit card and you decide to make no new purchases and to make the minimum monthly payment on the account Assuming that the interest rate on your card is 2 per month on the unpaid balance and that the minimum payment is 3 of the total balance plus interest your balance after t months is given by 8 t 500 0 9894 Find your balance at each of the given times Complete parts a through e below

Multiply Write your answer in simplest form u 14u3 49u 18u 6 4 7

Divide Write your answer in simplest 3p 13p 12 3p 2p 2 P 3 4p p

ask 3 Analyzing a Determine the zeros algebraically and explain what these mean for your situation b Determine the vertex and explain what this means for your situation

Look at the graph 10 5 10 5 O 10 x 5 10 What is the equation of the horizontal asymptote

Divide Write your answer in simplest form 5r 2 5r 2 P 6r 12r30r

16 Use the given formula to evalute the integrat Sva tu du vartur In at actur C u u SVZZVZ

Multiply Write your answer in simplest form 3g 4g 4 9 2 9 2 2 g 11g12

Multiply Simplify your answer 20d2 4d 18cd C

Simplify Express your answer as a single fraction in simplest form X 5x 33x 10 6x 10

vide Write your answer in simplest for 2d 5 2d 10d 2d 5 2d

Task 2 Equation of the situation a Determine the equation of the situation in standard form Write the equation using function notation Use a graphing app Like Desmos GeoGebra or Google Sheets create the graph and include it in your submission b Convert the equation to vertex form algebraically using complete the square method Write the equation using function notation c Describe the transformations applied to y x2 to get the resulting equation

2 I 12 5 Points DETAILS Graph the function not by plotting points but by starting from the graphs below 9 x 10x 1 2 10 5 y 3 y 2 2 2 2 WebAssign Plot State the domain and range Enter your answers using interval notation domain range State the asymptote 2 4

7 3 020 S MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER How often do we use social media to talk about our love life A study released a report on data and relationships in the digital age from 5 700 respondents In their study they found that 56 of social media users shared or discussed something about their romantic relationship online current relationship or dating life USE SALT a Let p be the proportion of people who discussed something about their romantic relationship 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 interpretation of the meaning of the confidence interval you found O We are 95 confident that the true proportion of social media users who shared or discussed something about their romantic relationship online current relationship or dating life falls outside this interval We are 95 confident that the true proportion of social media users who shared or discussed something about their romantic relationship online current relationship or dating life falls within this interval We are 5 confident that the true proportion of social media users who shared or discussed something about their romantic relationship online current relationship or dating life falls within this interval O We are 5 confident that the true proportion of social media users who shared or discussed something about their romantic relationship online current relationship or dating life falls above this interval b What is the margin of error based of the 95 confidence interval Round your answer to three decimal places c As a person who uses social media what do you think about the amount of people posting about dating online based on your confidence interval and margin of error Since the interval is entirely above 0 5 the results suggest a slim majority life of social media users share or discuss aspects of their romantic relationship online current relationship or dating

Use a calculator to evaluate the function at the indicated values Round your answers to three decimals 3x 9 x 3 M 9 3 xxxx Enter a number

Divide Write your answer in simplest form 6q 7q 7q 5 29 2 12914q3 109

Simplify Express your answer as a single fraction in simplest form 3 2 2 3w 2w 14

The graph of a function f is given Sketch the graph of y f 2x 6 Note y f 2x 6 f 2 x 3

Multiply Simplify your answer 10s 3su 6u

True or False A polynomial function with integer coefficients can have bot rational and irrational zeros True False

True of False The graph of a rational function can cross its horizontal asymptote True False

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 x You may have rounded in the wrong direction 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 two decimal places Give a brief interpretation of the meaning of the confidence interval you have found O We are 99 confident that the true proportion of judges who are introverts falls outside this interval We are 99 confident that the true proportion of judges who are introverts falls within this interval O We are 1 confident that the true proportion of judges who are introverts falls above this interval O We are 1 confident that the true proportion of judges who are introverts falls within 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 Yes the conditions are satisfied This is important because it allows us to say that p is approximately normal O Yes the conditions are satisfied This is important because it allows us to say that p is approximately binomial No the conditions are not satisfied This is important because it allows us to say that p is approximately normal O No the conditions are not satisfied This is important because it allows us to say that p is approximately binomial

Sketch the graph of a rational function y f x that meets ALL of the following conditions x 3 is a zero of multiplicity 1 x 3 is a zero of multiplicity 1 yoo as x 1 yoo as x 1 yoo as x 4 yoo as x 4 y0 as x

You may need to use the appropriate appendix table or technology to answer this question In the past 26 of all homes with a stay at home parent the father is the stay at home parent An independent research firm has been charged with conducting a sample survey to obtain more current information a What sample size is needed if the research firm s goal is to estimate the current proportion of homes with a stay at home parent in which the father is the stay at home parent with a margin of error of 0 04 Use a 95 confidence level Round your answer up to the nearest whole number b Repeat part a using a 99 confidence level Round your answer up to the nearest whole number

15 Make a Substitution to express the integrand as a rational function and than evaluate the integral COSX Act sin 8 Absin J N sin x 15inx dx A floss and 1 cosx COST 2x 8 8

Multiply Write your answer in simplest form 92 9 4935 1

Simplify Express your answer as a single fraction in simplest form z 4 7z 6z 7

Divide Write your answer in simplest form 5g 3 3g 1 5g 2 3g 1

Simplify Express your answer as a single fraction in simplest form 2c C 2 C 2 c

The Little Hungry Caterpillar ate 1 apple on Monday 2 apples on Tuesday 1 on Wednesday 4 on Thursday 2 on Friday 5 on Saturday and 6 on Sunday 1 10 points Provide as many descriptive statistics for this dataset as you can 2 2 points Draw a chart that you think best illustrates what happened 3 8 points I had a theory that drinking snake oil would improve students academic performance To test my theory I selected 3 healthy male volunteers from my class of 29 and gave each of them a glass of snake oil daily for 100 days The point score for the semester of one of those volunteers was 1 higher than the class average the other two died of stomach ulcers before the final exam and were excluded from data analysis and from the paper I wrote about my tudy Since I had a large sample size 300 and the positive effect was obvious I patented my method and made billions selling snake oil List at least 8 flaws in my study

Divide Write your answer in simplest form 3j 4 3j 2 9j 18j 8

Determine the series of the Given function g x In 1 7x

Multiply Write your answer in simplest form 8 7 3w 4 5w2

Simplify Express your answer as a single fraction in simplest fe 3u 9 10u 4 5 2u 10

A C 6 in 175 lb in 12 in 12 in B 100 lb in

18 The form of the partial fraction expansion of the rational function A none B Ax B b x 2 A x 1 x244 B Ax B Cx D X 1 2 is C A B l X274 x 1 x 1 x 2 X72 DAB x 4 X 1 X 2 BICID D A B Cx b x 1 X 1 2 x2 4 EA Bxt C Cx b x 1 X 1 2 x2 44