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Let R ba a partial order on S, and suppose that x is a unique minimal element in S.
a) prove that S is finite, then xRy for all s in S
b) show that the conclusion in (a) need not be true if S is infinite
If a one person household spends an average USD 730 per week on groceries, calculate the minimum dollar amount spent per week for the middle 40 percent of one person households. Suppose that the standard deviation is USD 104 and the variable is norma..
The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
Problem solving on single mean
Given that the y-intercept of a line is (0,-5) and the slope is 1/3, find the equation of the line in slope-intercept form. What is the x-intercept?
A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by:f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0
Find the estimated regression equation
If the probability of an event is .857, what is the probability that the event will not occur?
We may think that this is similar to a Fresnel Integral (sin(x^2)). In that case, we would set z=e^(iz)^2, and then integrate over the special contour with regions I: 0 to R, II:
The marginal revenue derived from producing q units of a certain commodity is R'(q) = 4q - 1.2q^2 dollars per unit. If the revenue derived from producing 20 units is $30,000 how much revenue should be expected from producing 40 units?
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
The displacement s cm of the end of a stiff spring at time t seconds is given by: s = a (e^-kt) sin 2πft. Determine the velocity and acceleration of the end of the spring after 2 seconds if a = 3, k = 0.75 and f = 20.
Basic arithmetic problem - What is the overall percentage of five test grades: 96%, 98%, 89%, 95% & 97%? I need the work shown. If I took five tests and passed with the following percentages:
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