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The percentage of families that were married households in the United States between 1970 and 2000 is approximatelyP(t) = 86.9e-0.05t (0 = t = 3)where t is measured in decades, with t = 0 corresponding to 1970.
a) What percentage of families in the United States were married households in 1970? In 1980? In 1990? In 2000?
b) Sketch the graph of P .
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
Test the instructor's claim at a five percent level of significance. Write your conclusion?
A certain radio wave travels in a path represented by the equation y =5sin2x. What is the period of this wave?
Magnitude plot and phase plot
The Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri..
Write down the parametric equation for a line that passes the points (2, 1) and (5, 4). Write down the implicit form of a line that passes the point (7, 0) and has unit normal √6/3,√3/3. What is the intersection point of the two lines?
Evaluate the exponential equation y=-3^x for three positive values of x, three negative values of x, and at x=0. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph (if any).
Here is a worker with talent θ. There is a market of potential employerswho are willing to pay a wage equalling the talent level. The worker knows thetalent, but the employers do not. They believe talent to be normally distributedwith mean μθ and pre..
Which of the following z-scores is the smallest one in absolute value that leads to rejection of the null hypothesis ?
Prove the following statements using the Principle of Mathematical Induction.
Write a method to calculate the area of a circle. Return the area and write a method to calculate the circumference of a circle.
How many trees are there in the world? The course I am doing is discrete mathematics.
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