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A marketing research company is estimating which of two soft drinks college students prefer. A random sample of n college students produced the following 90% confidence interval for the proportion of college students who prefer drink A: (.385, .425). Identify the point estimate for estimating the true proportion of college students who prefer that drink.
If A and U are two subsets of a normed vector space, and U is open, show that A+U is open. Here A+U={a+u | a belongs to A and u belongs to U}.
Determine whether the following assertion is true or false: if you integrate the Fourier series for the delta function d(x) term by term you obtain the Fourier series for the step function s(x).
You decide to start your article with a math example that the readers can understand. Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing.
Change this to the average probability of tossing heads by putting the average number of heads in a fraction over the number of coins you used in your tosses.
Find formulas for the upper and lower limits ( u and l) as linear equation involving the age x. What is the target heart rate zone for a 20-year-old? What is the target heart rate zone for a 40-year-old?
Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter.
Using the optimistic and conservative approaches in a decision analysis will never give the same optimal decision is the question true or false?
Linear Combinations, Basis and Transformations, 1. Given a basis B = { u1 = [1, 2], u2 = [2, 1] } for R^2, express u = [7, -2] as a linear combination of u1 and u2. How many ways can you do this?
If G = and H is a subgroup of G, show that H is the normal subgroup of G if and only if x^-1Hx contained in H for all x belonging to X. ALSO show that is normal in G if and only if gXg^-1 contained in for all g belonging to G.
Graph the functions y=x and y= square root of x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Trigonometric identities to find length of the guy wire.
Determine the inverse Z-transform for the followings.
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