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In a noraml distribution, 2.25% of the area lies to the left of 42 and 2.25% of the area lies to the right of 48. Find the mean and standard deviation.
a ski lift that runs to the top of a hill has a rise of 1/9. The horizonal distance from the bottom of the lift to the center of the mountain is 7000 feet. How hight is the hill?
A special window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 16 feet, what dimensions will admit the most light?
Suppose that f and g are continuous functions and (integral sign) from 2 - 0 of f(x) dx = 5 and (integral sign) from 2-0 of g(x) dx = 13. Compute the following.
Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
Annual Salary: Suppose your salary was $28500 in 1992 and $32900 in 1994. pattern. a) Write a linear equation giving your salary S in terms of the year t.
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities?
Identify the critical points and find the maximum value and minimum value on the given interval g(x)=1/1+x^2 ; I=[-3,1]
Given A = a*p_hat + b*psi_hat + c*z_hat (cylindrical unit vectors), where a, b, and c are constants. Is A a constant vector (uniform vector field)? If not, find: the divergence and curl of A
the formula for the area of a triangle is A=1/2bh, where b represents the base length, and h represents the height. The perimeter of the triangle is 28 inches. Write an equation for the area A of the triangle in terms of its base length b.
A local hamburger shop sold a combined total of hamburgers and cheeseburgers on Wednesday. There were fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?
Assuming you are the financial manager of a for-profit hospital, what is the hospital's cost of capital assuming that the hospital has the following capital structure on its Statement of Financial Position
A circular spa has a diameter of 12 feet. The spa is decorated with 4-inch porcelain tiles around the rim. How many tiles suround the spa?
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