Questions

8 17 6 5 3 2 1 N 1 1 2 3 The curve above is the graph of a sinusoidal function It goes through the points 4 0 and 2 0 Fin sinusoidal function that matches the given graph If needed you can enter T 3 1416 as pi in your answer otherwise use at least 3 decimal digits f x

Find the value of a in the parallelogram a Type an integer or a decimal AB Type an integer or a decimal BC Type an integer or a decimal CD Type an integer or a decimal AD Type an integer or a decimal B 2a 22 6 A a 1 5 22 5 C a 1 4 D

The tuition for a college has the following rate Under 7 credits 5000 dollars 7 to 14 credits 6000 dollars More than 14 credits 6000 dollars plus 100 per credit over 14 Let T x be the rate when credits are taken Find the following If a value is undefined type DNE T 10 T 7 T 9 T 15

Let f x be a function that is differentiable on the entire real line If f 5 1 and f 6 2 we can guarantee that there is a point in the interval 5 6 such that c f c We know that such a point exists by the Intermediate Value Theorem Mean Value Theorem Squeeze Theorem

From the definition f 6 lim h 0 f 6 h f 6 h Suppose f x x 8x 7 f 6 h f 6 V 00

Find the difference 11011010two 1100010two

Find the slope of the line shown 5 4 3 2 5 4 3 2 1 1 1 3 4 1 2 3 4 5 The slope is m If the slope is undefined ent

Consider a binomial experiment with two trials a Which of the following tree diagrams accurately represents this binomial experimen 1 E A Select your answer Compute the probability of one success f 1 to 2 decimals c Compute f 0 to 2 decimals d Compute 2 to 2 decimals e Compute the probability of at least one success to 2 decimals

The Sugar Sweet Company delivers sugar to its customers Let C be the total cost to transport the sugar in dollars Let S be the amount of sugar transported in tons The company can transport up to 20 tons of sugar Suppose that C 120S 2500 gives C as a function of S Identify the correct description of the values in both the domain and range of the function Then for each choose the most appropriate set of values Domain Range Description of Values O cost to transport sugar in dollars Oamount of sugar transported in tons O cost to transport sugar in dollars Oamount of sugar transported in tons Set of Values Choose one the set of all real numbers from 120 to 2500 the set of all real numbers from 2500 to 4900 the set of all real numbers from 0 to 20 20 21 22 23 4900 Jan

Write each expression with a single rational exponent Show each step of your process Which expressions are equivalent Justify your reasoning A 4x B C 10 5 D

Identify the vertex of each 7 y 2x 12x 28 A 3 10 C 7 1 B 1 7 D 1 7 9 y x2 10x 25 A 5 0 C 0 5 B 5 0 D 0 5 10 8 8 y x 6x 15 A 3 6 C 3 6 10 y 2x 24x A 3 6 C 7 2 B 3 6 D 3 6 75 B 6 3 D 6 3

A roller coaster s height is given by the equation h 046t2 5t 75 where t represents the time in seconds How long will it take riders to pass over the hill and reach ground level Hint Seth 0 122 05 seconds 75 00 seconds 54 35 seconds

Solve for x Round to the nearest tenth da 19 1 point O 41 8 63 5 28 5

Rewrite in simplest rational exponent form xx Show each step of your process

Rewrite in simplest radical form 516 1 X6 Show each step of your process

Rewrite in simplest radical form 1 3 Show each step of your process X 6

Is the expression x3 x3 x3 equivalent to x3 3 3 Why or why not Explain your reasoning

A scientist is studying how an antibiotic affects a bacteria colony The colony has a population of 20 000 when she applies the antibiotic Each hour after the application the population of the colony is of its size from the previous hour Let P be the size of the colony r hours after the scientist applies the antibiotic Which equation is an explicit formula for P in terms of r A P 20 000 t B P 20 000 2 C P 20 000 1 D P 20 000 5

The prior probabilities for events A and A2 are P A 0 40 and P A2 0 60 It is also known that P A1A a Are A and A2 mutually exclusive They Select mutually exclusive How could you tell whether or not they are mutually exclusive P A P A1 A P A A 0 P B A P B A P A2 P A2A P A P A 1 b Compute P A1 n B and P A n B P A n B P A B c Compute P B d Apply Bayes theorem to compute P A1 B and P A2 B Round your answers to four decimal places P A1 B P A 1 8

The prior probabilities for events A and A2 are P A 0 40 and P A2 0 60 It is also known that P A1A a Are A and A2 mutually exclusive They Select mutually exclusive How could you tell whether or not they are mutually exclusive P A P A1 A P A A 0 P B A P B A P A2 P A2A P A P A 1 b Compute P A1 n B and P A n B P A n B P A B c Compute P B d Apply Bayes theorem to compute P A1 B and P A2 B Round your answers to four decimal places P A B P A B

Consider the following hypothetical survey results of 18 to 34 year olds in a certain country in response to the question Are you currently living with your family Male Female 94 155 249 Totals Female Yes No Male Totals Totals 107 144 251 201 299 a Develop the joint probability table for these data and use it to answer the following questions Yes 500 No Totals b What are the marginal probabilities P 18 to 34 year old female P 18 to 34 year old male P responded yes P responded no c What is the probability of living with family given you are an 18 to 34 year old female in this country Round your answer to four decimal places d What is the probability of living with family given you are an 18 to 34 year old male in this country Round your answer to four decimal places e What is the probability of an 18 to 34 year old in this country living with family f If in this country 50 2 of 18 to 34 year olds are male do you copri

A consulting firm submitted a bid for a large research project The firm s management initially felt they had a 50 50 chance of getting the project However the agency to which the bid was submitted subsequently requested additional information on the bid Past experience indicates the successful bids and 40 of the unsuccessful bids the agency requested additional information a What is the prior probability of the bid being successful that is prior to the request for additional information b What is the conditional probability of a request for additional information given that the bid will ultimately be successful c Compute the posterior probability that the bid will be successful given a request for additional information Round your answer to two decimal places

ow many ways can three items be selected from a group of six items se the letters A B C D E and F to identify the items and list each of the different combinations of three items Enter your answers as a comma separated list Enter three unspaced capital letters for each combina

Assume that we have two events A and B that are mutually exclusive Assume further that we know P A 0 30 and P B 0 40 a What is P A n B P An B b What is P A B P A B Events A and B Select independent because Select c A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same and that if events are mutually exclusive they must be independent Do you agree with this statement Use the probability information in this problem to ju answer therefore I Select with the student d What general conclusion would you make about mutually exclusive and independent events given the results of this problem Mutually exclusive events are Select MY NOTES ASK YOUR TEACHER

DETAILS ASWS 4 E 025 urvey examined the use of social media platforms Suppose the survey found that there is a 0 64 probability that a randomly selected person will use Facebook and a 0 28 probability that a randomly selected person will use LinkedIn In addition suppose there is a 0 26 probabil selected person will use both Facebook and LinkedIn at is the probability that a randomly selected person will use Facebook or LinkedIn at is the probability that a randomly selected person will not use either social media platform

Suppose that we have two events A and B with P A 0 50 P B a Find P A B Round your answer to four decimal places P A B b Find P B A P BA c Are A and B independent Why or why not A and B Select A independent because Solont 0 60 and P An B 0 40

An experiment has four equally likely outcomes E E2 E3 and E4 a What is the probability that E occurs b What is the probability that any two of the outcomes occur e g E or E4 c What is the probability that any three of the outcomes occur e g E2 or E3 or E4

By hand perform a single iteration of the secant method with initial guesses x 1 4 and 0 0 to find a solution of tan x 0 1 1 where x is in radians After 1 iteration report the exact values of your solution estimate x and its estimated relative error and the tolerance in function as a decimal floating point number in engineering notation with 7 mantissa digits Required submission Handwritten or printed all steps to obtain the answers incl the final answers submitted to Gradescope

a contractor She has narrowed down her selection to two companies and will base her decision on the likelihood that the job is done on time and on budget She uses online reviews to estimate the probabilities Probability that the Job Is done on time Probability that the Job Is done within budget Contractor A 0 95 0 97 Contractor B 0 98 0 93 Which contractor should Anne choose to maximize the probability that the job will be done on time and on budget Assume all events are independent A Contractor A The probability that both conditions are met is 0 92 B Contractor B The probability that both conditions are met is 0 91 C Contractor A The probability that both conditions are met is 0 93 D Contractor B The probability that both conditions are met is 0 90

7 20 m 530 8 75 30 ft 9 16 yd 15

9 16 yd 15

37 3 yd X

A large accounting firm hired seven student interns and their hourly wages were as follows 23 22 20 19 15 16 and 17 Calculate the third quartile 16 00 19 00 20 00 22 00

In the figure shown below lines a and b are parallel and line c is a What is the value of x A 6 B 9 C 12 D 18 O A OB 13x 6 11x 30 C E

10 5 in 559 11 369 16 m 12 24 r 44 ft

b y x 1

The modal score on your statistics exam was 89 Which of these interpretations is most correct A score of 85 was slightly below average No one scored above an 89 The highest score was 89 More students received an 89 than any other score

4 12 cm 620 X 5 70 7 in X 6 X 13 ft 32

Two functions are described below Function A A taxi driver charges customers a base amount of 3 00 and also an amount of 2 00 per mile x for a total charge y to a customer Function B The equation y 3x 2 represents the relationship between the number of miles x a taxi travels and the total charge y to a customer Which statement correctly compares the relationship between Function A and Function B A Function A has both a greater rate of change and a greater initial value Function B has both a greater rate of change and a greater initial value Function A has a greater rate of change than Function B but the initial value for Function A is less than the initial value for Function B B C D Function B has a greater rate of change than Function A but the initial value for Function B is less than the initial value for Function A A B C

7 Two points are plotted on a coordinate plane Point A is plotted at 11 8 and point B is plotted at 2 4 What is the distance in units from point A to point B A 13 B 15 1 poi C 145 D 185

Best of luck you got this 1 Find the x intercepts if any and y intercepts if any of the graph of the followin functions Write them clearly as ordered pair 12 pts LA Szollo a y x 31 3 The tibes flol vol row saiquo be helistab woda unsidons does not b y x 1 BOY RAT

What was the main reason why the US officially joined WWII on the Allies side all of these the surprise attack at Pearl Harbor in Hawaii on December 7th 1941 killing Americans and destroying American ships and airplanes the Zimmerman Telegram was intercepted and the US was worried that Germany was attempting to get Mexico to attack from the so the US was concerned that Germany was close to creating and using an atomic bomb in Europe

6 Write your final answer as a mixed number or improper fraction 1 poin What value of x makes the equation shown below true 24x 33 3 5x 21 9 Show your work

J x x 3 Identify the vertex of each 7 y 2x 12x 28 A 3 10 C 7 1 B 1 7 D 1 7 8 D f x 5 x 9 2 4 8 y x 6x 15 A 3 6 C 3 6 B 3 6 D 3 6

Which expression has a value of 1 A 2 4 B 24 1 C 28 2 2 8 2 D O A O B O C

4x 16x1 41

What was the War Production Board s purpose all of these to enforce trade agreements with non warring nations to ensure that all countries followed the rules of engagement and that civilians were not harmed during the to oversee and control the US total war effort during WWII

Why did the US ultimately decide to drop atomic bombs on Hiroshima and Nagasaki the US was concerned that they would not get to use the bombs in the future if they did not use them during WW2 the US thought that using atomic bombs would encourage Germany to surrender more quickly avoiding a land invasion of Japan would save numerous Allied forces lives the US did not have enough air power to attack Japan successfully

Which statement is true of the Manhattan Project its goal was never achieved code name for secret research and development program to build an atomic bomb during WW Albert Einstein was not involved all of these

What was the name of the US strategy in the Pacific that was designed to address issues with transportation and supplies shock and awe trench warfare island hopping all of these