Consider a mixture of two Gaussian distributions,0.AN([12]. [i])+0.GN([8].Compute the marginal distributions for each dimension.Compute the marginal distributions for each dimension.• Compute the mean and mode for the two-dimensional distribu-tion.[8.4 22 1.7

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Answered: Consider a mixture of two Gaussian…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 65E

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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.
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Find the average rate of change for each function over the given interval. y=x between x=1 and x=4

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Consider a mixture of two Gaussian distributions, [8.4 2 AN([12]. [6 %]) + 0.6N([8] · [²2* 1.7]) Compute the marginal distributions for each dimension. Compute the marginal distributions for each dimension. • Compute the mean and mode for the two-dimensional distribu- tion.