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The number of Internet users in Mexico between 2004 and 2008 can be modeled as
u(t) = 8.02(1.17t) million users
where t is the number of years since 2004. The population of Mexico in 2008 was 109,955,400. What percentage of the Mexican population used the Internet in 2008?
Problem solving on linear programming
A swimming pool is circular with a 38-ft diameter. The depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end. Find the volume of water in the pool.
nna bought twelve pieces of gum consisting of only red gumballs & white gumballs. Find number of white gumballs from 12 pieces.
What is the equation of the vertical line and the equation of the horizontal line throught Point A?
Suppose a business purchases a new tractor at an original cost of $42,000. Further, suppose this tractor has a useful life of 8 years and a salvage value of $10,000.
Two rainstorms occurred in one week in a certain area. In the first storm 25ml of rain fell per hour, and in the second storm 20ml of rain fell per hour. Rain fell that week for a total of 75 hours for a total rainfall of 1700ml.
Basic probability problems
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
Probability : Bayes' Theorem, In a survey, it is found that 10 boys out of hundred are in favor of selecting their life partners themselves without any interference by their parents. Where as only 20 girls out of 500 hold this view.
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?
A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring (128/101) feet.
Estimate the number of replications needed to reduce the half width of each con?dence interval by 25 percent. Run the additional replications for each system and compute new con?dence intervals using a 0.10 level of signi?cance.
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