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State and give a proof of how many 11-digit numbers that do not begin with a 3 or a 4 contain exactly three 3s and four 4s without simply enumerating them by brute force. Note: a number may not have a leftmost digit of zero. (A fixed size purely numerical expression for the answer need not be evaluated.)
Mary bought a red convertible for $14000.She paid $1000 down and borrowed the rest on a one year note at 15% interest. How much will she owe at the end of one year?
The store is selling lemons at $0.45 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?
Use generating functions to find the number of ways to select 14 balls from a jar containing 100 red balls, 100 blue balls, and 100 green balls so that no fewer than 3 and no more than 10 blue balls are selected. Assume that the order in which the..
How many bags will the recycling center accept?
Mathematical models are used as tools to describe reality. These models are supposed to characterize the important features of the analyzed phenomena and provide insight. The normal distribution is an example of a random variable that is widely us..
If a rocket is launched from the top of a tower 70 70 meters high with an initial upward speed of 20 20 meters per? second, what will its height be after 3 3 ?s
Let v(t)=3t^2-12t be the velocity of a particle moving along the x-axis for time t, t>(less than or equal to)0 When t=0 the particle is at x=-6.
Cost to sell compact discs is 2x^2-2x+10 and the revenue from the sale is 5x^2+12x-1.
Write an algorithm that takes as input a prime nd outputs a primitive root for that prime. (( use python only )) ((please write the program by yourself do not solve it from internet
Find the point(s) on the graph of f where the slope of the tangent line is equal to 12.
Explain why this means that we can make the probability that X(x) is between np-sn and np + sn as close to 1 as we want by making n large.
A common Stock pays an annual dividend per share of $1.60. The risk-free rate is 5 percent and the risk premium for the stock is 4 percent. If the annual dividend is expected to reemain at $1.60 per share, What is the value of the stock?
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