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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.A research center claims that 28% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 31% say that they would travel into space on a commercial flight if they could afford it. At x = 0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least % of adults in the country would travel into space on a commercial flight if they could afford it. B. No more than % of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not % of adults in the country would travel into space…2. Determine all critical points for the following. Identify the maxima/minima. 2/3 a) y = 6x - 4x + 1 b) y = (x + 1)* – 0.5x
- 1.4 (A) Let x represent the number of years since 1960 and find a cubic regression polynomial for the marriage rate. (B) Use the polynomial model from part (A) to estimate the marriage rate (to one decimal place) for 2025 .Find the critical points of f(x) = x³ - 3x² - 24x. %3DExercise 1.1: Error Propagation • Suppose x = v3, and x* = 1.732 is a floating-point representation of x. 1. Determine the magnitudes of the absolute and relative errors of x. 2. Provide semilog plots of the magnitudes of the absolute and relative errors of (x*)" for n = 1 to 10 in a single figure. 3. On the same plots, provide the mathematically derived values of the magnitudes of the errors.
- ASIACELL LTE 5:51 PM 36% A cis.turath.edu.iq 2 of 6 Determine the Domain •B. and the Ran ge of the Fallowing fun etions 1. Fux = 6x+ 2 2 Faw = x²- 2x + 6 3. Fer)= -| + 2x - x? 4. F&) = X - 3X x²- 3x² - 5 x + 15 5. hcx)z 2K + 6 X -4 X - 12 NB. Solving s Graphing the functions are required A. Find fo llow ing Functions the inuerse of theX X zy Section 5.4- QNT/275T: Statistics x + 598163/chapter/5/section/4 for Decision Making home > nce between two population means 4.1: Hypothesis test for the difference between two population means. Jump to level 1 A clinical researcher performs a clinical trial on 14 patients to determine whether a drug treatment has an effect on serum glucose. The sample mean glucose of the patients before and after the treatment are summarized in the following table. The sample standard deviation of the differences was 8. Before treatment What is the test statistic? Ex: 0.123 Check What type of hypothesis test should be performed? Select Select Left-tailed z-test Paired t-test Two-tailed z-test Unpaired t-test Next After treatment 75 Sample mean glucose (mg/dL) What is the number of degrees of freedom? Ex: 25 Does sufficient evidence exist to support the claim that the drug treatment has an effect on serum glucose at the a = 0.05 significance level? Select 81 MESA 81101 2 hp 3 Imoodle.nct.edu.om arning Portal Courses Reports e-Services Academic Departments ETC - CIMS - purses / MATH1200 / Assessments(CA+Final) / Worksheet 2 SEM 1: 2021-2022 Use second derivative test, If f(x) =, 4x +9 then f(x) has a local maximum at the point -3 2 2.
- The 98% prediction interval for the value of yy at x0=12x0=12 is between9) Find L3.2 (5) using the nodes xo = 3,x1 = 4, x2 = 6 ,x3 = 8 %3DA WSS process X (t), with mean value 5 and power spectrum Sxx (@) = 50 n. 8 (@) + is applied to a network with impulse response %3D 1+ 2. h (t) = 4. e-4 I %3D (a) Find H (@) of the network (b) Find the Mean and power spectrum of the response Y (t). 3/2
