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- Coffee consumption in the United States is greater on a per capita basis than anywhere else in the world. However, due to price fluctuations of coffee beans and worries over the health effects of caffeine, coffee consumption has varied considerably over the years. According to data published in The Wall Street Journal, the number of cups f (x) consumed daily per adult in year x (with 1955 corresponding to x = 0) is given by the mathematical model f (x) = 2.77 + 0.0848x - 0.00832x2 + 0.000144x3. Graph y = f (x) to show daily coffee consumption from 1955 through 1994.As baby boomers enter their golden years, the number of people afflicted with Alzheimer's disease is expected to rise dramatically. In a study published in the Journal of Neurology, the number of people with Alzheimer's disease in the United States age 65 years and over is projected to be N(t) = 0.00525t2 + 0.075t + 4.7 (0 ≤ t ≤ 4) million in decade t, where t = 0 corresponds to 2010.† (a)What is the projected number of people with Alzheimer's disease in the United States age 65 years and over in 2040? (Round your answer to four decimal places.) million (b) How fast is the number of people with Alzheimer's disease in the United States age 65 years and over projected to grow in 2040? million per decade (c)How fast is the rate of growth of people with Alzheimer's disease in the United States age 65 years and over projected to change in the period covered by the study? million per decade per decadeAlzheimer’s Disease: As baby boomers enter their golden years, the number of people afflicted with Alzheimer’s disease is expected to rise dramatically. In a study published in the Journal of Neurology, the number of people with Alzheimer’s disease in the United States age 65 years and over is projected to be Nt=0.00525t2+0.075t+4.7 0≤t≤4 Million in decade t, where t=0 corresponds to 2010. What is the projected number of people with Alzheimer’s disease in the United States age 65 years and over in 2030? How fast is the number of people with Alzheimer’s disease in the United States age 65 years and over projected to grow in 2030? How fast is the rate of growth of people with Alzheimer’s disease in the United States age 65 years and over projected to change in the period covered in the study?
- A researcher thinks that watching violent televisions increases aggressive behavior in children. To test this hypothesis, she randomly assigns 48 children into one of 3 groups (no violent TV, a little violent TV, or a lot of violent TV) and observes their playground behavior for three weeks and measures it for violence and intensity. The variable “amount of TV” (as it appears in this problem) is a __________ variable. a. continuous b. discrete A researcher thinks that watching violent televisions increases aggressive behavior in children. To test this hypothesis, she randomly assigns 48 children into one of 3 groups (no violent TV, a little violent TV, or a lot of violent TV) and observes their playground behavior for three weeks and measures it for violence and intensity. The variable “amount of TV” (as it appears in this problem) is the: a. independent variable b. dependent variable A researcher thinks that watching violent televisions…Visualize that two tributaries A and B at their confluence form a river C. Statistical properties of flow data for tributaries A and B indicate that tributary A has a yearly discharge rate smaller than its mean flow rate (?̅?) in 50% of the years while tributary B has a yearly discharge rate smaller than its mean flow rate (?̅?) in 60% of the time. In 70% of the years in which tributary A has a discharge rate smaller than its mean discharge rate (?̅?), tributary B also has a discharge rate smaller than its mean discharge rate (?̅?). Compute the probability that (i) both tributaries have a discharge rate smaller than their mean discharge rates, (ii) at least one tributary has a discharge rate smaller than its mean discharge rate, (iii) tributary A has a discharge rate smaller than its mean discharge rate given that tributary B has a discharge rate smaller than its mean discharge rate, (iv) at least one tributary has discharge rate higher than its mean discharge rate, and (v) probability…