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The following table shows the height of a tree as it ages. In Excel, plot each point on the same graph where the first coordinate is the age of the tree and the second coordinate is the height of the tree (age, height). After plotting each point, explain if there is a linear relationship between the age and height of the tree. 5years = 10 ft., 10years = 12.5 ft., 15years = 17.5 ft., 20years = 21 ft., and 25years = 16ft.
Make a meaningful example illustrating Project Evaluation and Review Technique (PERT). Explain all details. Draw the graphs involved. Use reasonable number of tasks.
Probability: Joint Probability Mass Function, Covariance and Variance Let X and Y have joint probability mass function Pr{X = i, Y = j}= c(i + 1)(j + 2) for i >= 0, j >= 0, and i + j
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
A rectangular study plot is to be enclosed by 625 m of fencing. What are the dimensions of the study plot that will have the largest area?
Apply normal distribution methods to approximate this binomial distribution.
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.
A large research hospital has accumulated statistical data on its patients for an extended period. Researchers have determined that patients who are smokers have an 18% chance of contracting a serous illness such as heart disease
Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 4 - x^2 and the plane y = 2.
a grain of silo has the shape of a right circular cylinder topped by a hemisphere, as shown below. if the silo is to have a capacity of 504(pie) ft^3, determine the radius and height of the silo that requires the least amount of area to construct.
suppose that a body with temp. 85F is discovered at midnight, and that the ambient temp. is 70F. the body is removed quickly to the morgue where the ambient temp. is 40F. after 1 hour the body temp. is found to be 60F. estimate time of death.
Service station cars arive randomly at a rate of 1 car every 30 min. the average time to change oil on a car is 20 min. both the time between arrivals and service time can be modeled using the negative exponential Poisson distribution.
Assuming exponential population growth, predict the populations of China and the U.S. in the years 2100 and 2200. Assuming exponential population growth, approximately when will China's population double?
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