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A motorboat travels 290 km in 5 hours going upstream. It travels 430 going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Set up and solve using Management Scientist, Excel Solver, or an online LP solver. What are the values of X and Y at the optimal solution?
An airline has 15 flights from city A to city B and eight flights from city B to city C. In how many ways can you fly from city A to city B.
A plane flies 45 minutes at 150mph on a bearing of 35 degrees. It then turns and flies 90 minutes at the same speed on the bearing of 125 degrees. How far is the plane from the staring point?
Smalltown Elevator produces elevator rails. To meet specifications, an elevator rail must be between 0.995 inches and 1.005 inches in diameter. Suppose that the diameter of an elevator rail follows a normal random variable with mean of 1 inch
The number of shark attacks and deaths over a recent 5- year period is shown. Find the mean, median, mode, midrange, variance, and standard deviation for the date. Which data set is more valuable?
What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)
Describe each of the following as an indexed family of sets. Here, pi denotes the coordinated xy-plane.
A box with no top is to be built by taking a 6'' - by - 10'' sheet of cardboard and cutting x - in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.
suppose a motorboat is moving at 40ft/s when its motor suddenly quits and that 10s later the boat has slowed to 20ft/s. assume that the resistance it encounters while coasting is proportional to the square of the velocity (v'=-k(v^2)) how far does..
The equation R = 0.028t + 20.8 can be used to predict the world record in the 200-m dash, where R is the record in seconds and t is the number of years since 1920. In what year will the record be in 19.0 sec?
Find the probabillity that a sweater has a flaw. Round to nearest tenth of a % Suppose the company produces 600 sweaters/day. How many WILL have flaws?
Which of the following indicates how many observations fall into various categories?
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