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A guy wire to the top of a tower makes an angle of 63 degrees with the level ground. At a point 34 feet farther from the base of the tower and in line with the base of the wire, the angle of elevation to the top of the tower is 22 degrees. What is the length of the guy wire?
Let R be a commutative ring with 1. Prove that if (a,b)=1 and a divides bc, then a divides c. More generally, show that if a divides bc with nonzero a,b then a/(a,b) divides c.
Let V be a circle lying in S. Then there is a unique plane P in R^3 such that p / S = V ( / = intersection). Recall from analytuc geomerty that
What type of sampling? the population consists of all 250 students in your large statistics class. You plan to obain a simple random sample of 30 students by using the sampling frame of students present next monday.
The marketing department at Bodnar Industries is developing a promotional campaign to introduce a new product. A listing of the various activities required, their immediate predecessors, and estimates of their times (in days) is given below.
The ratio of the number of Chinese boys to the number of Malay boys is 5:3.There are 178 more Chinese boys than Malay boys. How many girls are there in the hall?
A cylindrical drill with radius r1 is used to bore a hole through the center of a sphere of radius r2. Find the volume of the ring-shaped solid that remains.
Augmented matrices to solve the equations
let x denote the number of ticketed airline passengers denied a flight because of overbooking. suppose that x is a random variable for which p(x) = c(5-x) for x = 0,1,2,3,4. find the numerical value of c and then compute P(x>0)
Find (partial z)/(partial u)( and ) (partial z)/(partial v) using the chain rule. Assume the variables are restricted to domains on which the functions are defined. Your answers should be in terms of u and v.
Constraints, Decision variables, Objective functions
Calculate the simple linear regression equation
Suppose that 45 workers in a textile mill are selected at randome in a study of accident rate. the number of accidents per worker is assumed to be Poisson distributed with mean u . The average number of accidents per worker is 1.7.
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