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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.Can the average rate of change of a function be constant?If X ~B(190,0.34), find mean and variance of x. (Rounded in 3dp.)
- Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. x 0.9 A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom, on the right side. The region left of the line is shaded and labeled 0.9. The x-axis below the line is labeled "x". The indicated IQ score, x, is(Round to one decimal place as needed.)Find the slope of the normal line to the function g(x)=Vr² +7 at x=3. Select one: 4 а. 3 4 b. 3 3 C. 4 3 d. 4Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, one on the left side and one on the right side. The region between the lines is shaded. Moving from left to right, the x-axis below the first line is labeled 75. The x-axis below the second line is labeled 110.
- Must the variable under consideration be normally distributed for you to use the z-interval procedure or t-interval procedure? Explain your answer.calculate median by this formula median = l + (h/f (N/2 - C)Peak heart rate was determined both during a shuttle run and during a 300-yd run for a sample of n=10 individuals with Down Syndrome. The following ordered pairs reveal the shuttle run heart rate (x) and the 300 yd run heart rate (y) for each individual. (168, 184) (168, 192) (188, 200) (172, 192) (184, 188) (176, 180) (192, 182) (172, 188) (188, 196) (180, 196) At the 5% level of significance, is there sufficient evidence to support the claim that there is no significant linear relationship between the two quantities?
- Q/ Consider the following four points to interpolate for y = f(3.2) using: 1.0 0.1111 2.0 0.0625 3.0 0.0400 4.0 0.0278 1. Direct Fit Substitution.Determine the equation of the normal line to the graph of the function in the picture.Q/The following data shows the relationship between x and y. Use interpolation technique to find the value corresponding to (x = 4). (x: 2, 3, 5, 8, 12), (y: 10, 15, 25, 40, 60) *