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In a school of 420 students, 147 students are in the band, 245 students are on sports teams, and 63 participate in both activities. How many students do not participate in band or sports?
Permutation and combination to find number of ways
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
The first kernel pops 127 seconds after the microwave oven is started. What is the z-score of this kernel? Round your answer to two decimal places.
Probability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university
A random sample of 48 days taken at a large hospital shows that averages of 38 patients were treated in the emergency room per day. The standard deviation for the population is four. Determine the 99% confidence interval of the mean number of patient..
Find the derivatives of the following functions (Do not simplify): f(x) = 20x^(11/5) - 13x^(5/4) - 4x(-7/2)
Determine the type I and type II error
Each individual letter of the word "pfeffernuesse" is placed on a piece of paper, and all 13 pieces of paper are placed in a hat. Three letters are selected at random from the hat. Find the probability of selecting each of the following.
Of the registered voters in a certain town, 64% are Democrats, 59% favor a school loan, and 49% are Democrats who favor a school loan. Suppose that a registered voter is selected at random from the town.
Find the true mean completion time of the task
Recent study of television viewing, 73% of first year college students stated that university well off financially is a very important personal goal. What is the probability that a similar study would have the same sample mean or higher?
Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Please show work.
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