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Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A are used. It is observed that 10 grams of C are formed in 5 minutes.
1. How much is formed in 20 minutes?
2. What is the limiting amount of C after a long time?
3. How much of chemicals A and B remain after a long time?
What are the odds that a randomly selected number between 1 and 100 will not have a digit 7?
How would I solve the characteristic equation for B and show that the eigenvalues are 0, 2 and 4? For each eigenvalue, how would I find a corresponding eigenvector?
Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma.
Three-person Problem of Points
Find A.M, G.M, H.M, median and mode of following data and find the missing frequencies from the data given below if mean is 60.
The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year.
Find number of ways using permutation
Probability: Random Dart. A dartboard has 3 areas: the main board has a radius of 9 inches; there is a circle with a radius of 5 inches
Explain why a decision maker might feel uncomfortable with the expected value approach, and decide to use a non-probabilistic approach even when probabilities are available.
The natural length of a spring is 10 cm. A force of 25 N stretches it to a length of 20cm. How much work, in units of N-cm, is done in stretching it from a length of 10cm to a length of 15cm?
Decide whether or not the events are mutually exclusive: Having good reading skills and having good math skills.
F ind the probability that the mean of the number of hours they watch television will be greater than 27.3 hours. Give your answer to 2 decimal places.
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