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For the party, the guests decide they want to see a movie at Jacks house. He has a couch that only seats 3 people at once. If there are 8 people watching the movie, how many different ways can Jack arrange people on the couch? Show work.
What type of distribution would the instructor most want to see if the best result is that most students earn an average score?
What is the standard deviation of this sampling distribution? (Round your answer to two decimal places.)
Show the proportions that you could have used to solve for exercise #3 and #4. Let's say it takes 3000 cows to make enough footballs for one season of the NFL. If the NFL decides to make the official football a bit larger so that it now takes 3400 ..
1. Consider the function f (x) = x2 - 6x + 7. Find the following: (i)The intervals where the function is increasing or decreasing (ii) Is the function concave up or concave down
Probability questions
Explain the main differences among integers, rational numbers, real numbers, and irrational numbers. How are these used in everyday life? How would you explain the use of each to someone who did not know about the differences?
Substitution in Integrals. Evaluate the definite integral 0∫1(e5x/1+e5x)dx. Evaluate ∫sin3(x) dx, by writing sin2(x) = 1 - cos2(x) and making a substitution
In a small village in the South of France, it snows just 2% of the time based on data collected over the last 50 years. In the last 10 days this winter, it has snowed 7 days. What is the probability of snow?"
Consider a large clothing shop in Sydney. Suppose it is known that the number of business suits sold per day is normally distributed with a mean, μ = 23 and standard deviation, σ = 10. What is the probability that Mr Wood's average daily sales wil..
Some collectors view comics as an investment. The effective rate of interest, r, earned by an investment can be defined by the formula, Determine the initial price of a rare comic book that resold for $1139 after two years, earning its owner 18% int..
Determine the slope of the tangent to each of the following curves:
State the key features (vertex, focus, directrix, direction of opening, and axis of symmetry) of each parabola, and sketch the graph.
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