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Find a nonzero vector PQ with initial point P(-1,3,-5) such that u is opposite in direction to v = (6,7,-3). In other words, find the coordinates of Q.
Starting with a hypothetical population of 14,000 people and an even age distribution [1,000 in each age group from 1-5 to 66-70 years], suppose that the population initially has a total fertility rate of 2.0 and an average life span of 70 years.
Calculating the height of the statue - find out how high is the statue?
A manufacturing company produces and sells 20,000 units of a single product. Total products cost are $14 per unit.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
What is the probability that those three segments can form a triangle? Probability of Forming a Channel
Discrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).
How many different four-digit numbers can be formed from the digits 0 through 9 if the first digit must be even and cannot be zero?
Label the Vertex and the Axis of symmetry
An octahedron is a three dimensional shape with eight sides that are equilateral triangles. THis shape is used as a die in games such as Dungeons and Dragons because all eight sides come up with equal probability.
How many six-digit even numbers less than 200,000 can be formed using all the digits 1, 1, 2, 2, 3 and 5? How many permutations of the letters in the name ABBA are there?
For the normal distribtion, the mean plus and minus 1.96 standard deviation will include what percent of the observations? What is the formula to calculate the percentage?
Significance Testing of correlation coefficient - Test the significance of r
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