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The top and bottom margins of a poster are 4 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 390 square centimeters, find the dimensions of the poster with the smallest area. Note: The answer to this problem requires that you enter the correct units.
1) a) How many 16 bit strings of 0's and 1's contain exactly 7 1's? b) How many 16 bit strings of 0's and 1's contain at least one 1?
A beacon on a lighthouse 2000m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500m from P?
Why would we want to do this? Why not just use Newton's Interpolatory Divided Difference formula to get an nth degree interpolating polynomial? Write down the conditions required for the spline S(x) to fit the data and have 6 continuous derivative..
Use the first derivative test to locate and identify all relative extrema"
Suppose that X1 and X2 are Gaussian random variables with means µ1 and µ2 respectively. Assume that µ1 ≠ µ2. The variance for each of the two random variables is σ2. Find the value of x for which fx1(x) = fx2(x).
Increasing and decreasing intervals.
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
customer from Cavallaro's Fruit Stand picks a sample of 4 oranges at random from a crate containing 65 oranges, of which 5 are rotten. What is the probability that the sample contains 1 or more rotten oranges.
I cannot find the famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls?
The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 11 cm and the width is 9 cm, how fast is the area of the rectangle increasing?
Find the volume of a triangle with sides y = 2, y = x+1, y = 11-x. The vertices are (5, 6), (1, 2) and (9, 2). Find the volume by rotating about y-axis:
To ensure that funds will be available when needed, there will be a three month overlap period, and net proceeds from the new issue will be invested at 5% in the money market. Skyline's tax rate is 30%. Should the firm refund its existing debt?
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