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Make a venn diagram: 25 students play soccer, 4 boys play soccer and baseball, 3 girls play soccer and baseball, 10 boys play baseball, 4 girls play baseball, 3 boys plays baseball and tennis, 1 girl plays baseball and tennis, 1 boy plays all three sports, 1 girl plays all three sports, 9 students play tennis, 3 boys play soccer and tennis, 3 girls play soccer and tennis, 12 girls play at least one of the 3 sports.
What is the probability that an arriving plane will find at least one other plane waiting to land? Calculate the average time it takes a plane to land and clear the runway once it has notified the airport that it is in the vicinity and wants to lan..
There are many applications used in the area of solving systems of equations. For example, systems of equations can be used to find the optimal number of items to produce to ensure the highest profit of those particular items.
Solving linear programming problem.
Chemist has 400ml of solution of which 80% is alcohol. How much water needs to be added to dilute solution to 50% alcohol? Please provide step by step breakdown so I can understand how this is solved.
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
Application of matrices in real word problems -Five neighborhoods ( NB ) all want to raise money for a playground for their kids.
Mayall Corporation is developing standards for its products. Each unit of output of the product requires 0.92 kilogram of a particular input. The allowance for waste and spoilage is 0.02 kilogram of this input for each unit of output.
Determine the dimensions of largest possible area of a rectangular garden - What are the dlmensions area if $1200 is to be spent for fencing material?
Suppose T is a Mobius transformation such that the image of the real axis under T is the real axis. Prove that T may be written in the form T(z) = (az+b)/(cz+d) with a, b, c, and d real.
State the null and alternative hypothesis and test the claim
The following linear trend equation was developed for annual sales from 1984 to 1990 with 1984 the base or zero year. Y1 = 500 + 60X (in $ thousands). What are the estimated sales for 1984?
What velocity should the bird have (speed is the same) so that the temperature around the bird increase as fast as possible? What is the rate of change of the temperature?
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