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At a high school five-year reunion, half of the 168 graduates were women and 89 of the graduates had gone to college; 46 of those 89 were women.
a. If a person who did not go to college is selected at random, find the probability that the person is a man.
b. If a man is selected at random, find the probability that he had gone to college.
Use the dot product to determine whether v and w are orthogonal. Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is orthogonal to w
Determine the amplitude, period and phase shift of Y = ½ sin (x+π) and graph one period of the function.
Convert the rectangular point (x, y, z) = (3√3, 3, 4) into cylindrical (r, θ, z). Convert the spherical point (ρ, θ, Φ) = (10, π/2, π/6) into rectangular (x, y, z).
What is the mathematical model for the total profit earned by producing and selling x units ? What is the optimal solution for this production model?
find the equation of the line that is perpendicular and passes through (-1,1)
Many musical composers have used mathematics
explain the main differences among integers rational numbers real numbers and irrational numbers. how are these used in
Deterministic models / linear programming. Please help asap 1. Consider the following parametric problem: z(θ) = min - 10x1 + 16x2 - x3 x1 - 2x2 + x3 ≤ 2 + 2θ x1 - x2 ≤ 4 + θ x1, x2, x3 ≥ 0,
Sketch a possible parabolic path of your arrows flight if your shoulder height is 53 inches.
Solve the given equation :
a sample of iron has a mass of 195 grams and a volume of 25 cubic centimeters. what is the density of the iron?
The following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.
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