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Find an equation of the line satisfying the given conditions.1. Throught the origin with slope 5.2.Through (3,4) and parallel to 4x-2y=5.3. Through (6,8) and perpendicular to y=2x-3.
Accourding to data from the U.S. Cenusu Bureau, the number of retail drugs perscriptions (in millions) can be approximated by y=136.25x+1443.75,where x=5 corresponds to 1995. Find the approximate number of prescriptions in the following years.(a). 2003(b). 2005(c) Assuming that this model remains accurate, in what year will the number of prescriptions be 4,850,000,000?
According to the data from the U.S. Department of Commerce, movie-theater box-office receipts (in millions of dollars) in year x can be approximated by y= 535.43x+5362.21, where x=0 corresponds to 1995. Assume that this equation remains valid until 2012.(a) estimate the box-office receipts in 2004.(b) in what year will the box-office receipts be $14 billion?
Find the median score
Find the test statistic
In each case, sketch the closure of the set: (pi)
If H and K are subgroup of G, with K a normal subgroup of G, K intersect H=1 and KH=G, then G is called a semidirect product (or split extention) of K by H.
Use the washer method to find the volume of the solid of revolution formed by revolving the region bounded by f (x)= 3x^2 and g (x)=2x+1 about the x-axis.
If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors.
Simple Probability, Sample Spaces, Events, A couple has three children, assume the likelihood of a boy is the same as a girl:
If I treat the upper block as a 2x2 matrix, I can find P = [1 0; 1 1] (Note: Using Matlab notation here). This correctly results in INV(P)AP = [3 1; 0 3] which is in the form needed.
The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
What is the probability of- a white chip on the first draw? An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn.
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
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