Binet’s Formula Simplified Binet’s formula (see
Exercise 23) can be simplified if you round your calculator results to the nearest integer. In the following Formula, nint is an abbreviation for “the nearest integer of."
If you use
Use the above form of Binet’s formula and a calculator to find the 16th, 21st, and 32nd Fibonacci numbers.
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Chapter 1 Solutions
Mathematical Excursions (MindTap Course List)
- SalaryA Colleague of the teacher in Exercise 29, hired at the same time, makes $35,000 in her first year and gets a $1200 raise each year. (a) What is her salary Anin her nth year at this school? (b) Find her salary in her eighth year at this school, and compare it to the salary of the teacher in Exercise 29 in his eighth year.arrow_forwardTest the hypothesis using the P-value approach. Be sure to verify the requirements of the of the test. H0: p=0.7 versus H1: P > 0.7 n=250; x=185; α=0.1 find P-value = round to 3 decimal places as neededarrow_forwardIn a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. *Please show formulas in EXCEL format a. What is λ? 2 per min b. What is μ? 18 seconds c. Find probability of no units in the system. d. Find average number of units in the system. e. Find average time in the waiting line. f. Find average time in the system. g. Find probability that there is one person waiting. h. Find probability an arrival will have to wait.arrow_forward
- EXPERIENCES HAD SHOWN THAT 20% OF A MANUFACTURED PRODUCT IS ON THE TOP QUALITY. IN DAY PRODUCTION OF 400 ARTICLES ONLY 50 ARE TOP QUALITY. TEST THE HYPOTHESIS AT 0.05 LEVEL.arrow_forward[Statistical Power and Type I and II Errors] How do you calculate the Type I error? Round to four decimal points. Thanks!arrow_forwardA publisher reports that 74% of their readers own a particular make of car. A marketing executive wants to test the claim that the actual percentage is actually less than the reported percentage. A random sample of 310 found that 70% of readers owned a particular make of car. Is there sufficient evidence at the 0.02 level to support the executive's claim? Round p-value to four decimal places. p-value = Conclusion (write R for "reject H0", and F for "fail to reject H0"):arrow_forward
- High blood pressure: A national survey reported that 34% of adults in a certain country have hypertension (high blood pressure). A sample of 24 adults is studied. Round the answer to at least four decimal places.arrow_forwardA model for advertising response is given by Upper N left parenthesis a right parenthesis equals 12 comma 000 plus 800 ln a comma a greater than or equals 1N(a)=12,000+800lna, a≥1, where N(a)equals=the number of units sold and aequals=the amount spent on advertising, in thousands of dollars. Find Upper N primeN′(1111). Round to the nearest whole number. Question content area bottom Part 1 A.1 comma 918 1 comma 9181,918 B.73 7373 C.58 5858 D.12 comma 073 12 comma 073arrow_forwardObtained vaule from community is -1.49 and the critical vaule of the state is 1.96. Compare the obtained vaule to the critical vaule to see if the average number of cases in the community is different from that of the state.arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage