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In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
how many different finishes among the first three places are possible for a ten-horse race? How many ways can a three-person subcommittee be selected from a committee of seven people?
The inflection points and global extrema.
What is the number of edges in a Kn? Let a, β be two graph invariants with positive values. Formalize the two statements below, and show that each implies the other: a is bounded above by a function of β β can be forced up by making a large enough. S..
Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.
Mutually Exclusive events, Probabilities, and Binomial Distribution. Use the frequency distribution below to answer questions 13-17. The number of school-related extracurricular activities per student.
The slope f'(x) at each point (x, y) on a curve y = f(x) is given along with a particular point (a, b) on the curve. Use this information to find f(x). f'(x)=3x^2+6x-2; (0,6) A: x^3 + 3x^2 - 2x B: x^3 + 3x^2 - 2x + 6 C: x^3 + 3x^2 - 2x + c D: x^3 + 3..
Find the sample size needed to assure with 95.44 percent confidence that the sample mean will not differ from the population mean by more than 2 units.
the number of seconds of continuous spray yielded by cans of a brand of outdoor fogger is normally distributed with a
Adding 4 fractions. The denominators are: 3a, 24b, 7a, and 25b. What is the LCD?
From central parking it is 9/10 of a mile to the science building. Bob started at central parking and walked 1/5 of a mile toward the science building. He stopped for coffee.
Two trains are driving towards each other .One at 144 km/h and the other at 72 km/h When they see each other they start to brake at 1 m/ss. There is 950m between them
the temperture is 33 degrees at 10am and 60 degrees at 4pm. what is the average rise in temperature per hour?
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