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A box contains 2 plain pencils and 2 pens. A second box contains 5 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected? Write your answer as a fraction in simplest form.
a survey of 210 registered voters revealed that 107 of them plan on voting for the incumbent. find a 95 confidence
For which values of k are the following vectors u and v orthogonal? Let u,v be orthogonal unit vectors. Prove that d(u,v) = 2^(1/2)
the equation a=25000 - 1500t, where t is the time in minutes and a is the altitude in feet, represents the steady decent of a certain aiplane. Graph the equation using the x- and the y- intercepts. How long will it be before the airplane reaches t..
A frustum of regular pyramid has bottom square base of edge 20 cm and top square with edge of 8 cm. if the volume is 2266 cm squared, find the height of the frustum.
1. Let V be a real vector space. We know that V has an additive identity, called 0. Suppose there is a vector u ∈ V with the property that u+v=vforeveryv∈V. Showthatu=0. (Thisshowsthatarealvector space can only have one additive identity.)
How many unique types of pizza can you create when allowed to choose two of seven types of meats, two of eight types of vegetables, one of two types of sauces, and one of three types of crusts?
Normal Probability: Diameter of Grapefruits. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.44 inches and a standard deviation of 0.41 inches.
Analysis the graph of the derivative.
Determine the constraints and evaluate maximum or minimum value using Linear Programming Method - How many days should each plant operate to produce 2000 of each part and keep operating costs at a minimum?
1 how do graphical presentations reflect data type e.g. discrete and continuous random data?2 how can mean standard
in fiscal year 2000, the U.S. government had a budget surplus of 99 billion (99 X 10^9) dollars. How many years of such surpluses would be needed to pay off the debt, as of July 2004, of 7.26 trillion (7.26*10^12) dollars?
The first equation in a system of two equations is x - 2y = 10. The graph of the second equation does not intersect the first. Write a possible second equation for the system and explain your answer. (Note: There are multiple equations that will work..
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