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A radio disc jockey has 8 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae songs, and 3 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probabilitythat both songs are country songs? Write your answer as a fraction in simplest form.
Water is pumped out of a holding tank at a rate of 5-5e-.09t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 798 liter of water when the pump is started, how much water does it hold one hour later?
James borrows $12,000 for equipment so that he could do some of his personal training work in his garage. He agreed to repay $13,200 after 300 days. Find the amount of interest and the interest rate.
A particle is set in motion at time t=0 and moves to the right along the x-axis. (a) Suppose that its acceleration at time t is a=100e^(-1). Show that the particle moves infinitely far to the right along the x-axis.
A researcher calculated the values and probabilities for a random variable X as shown below. Unfortunately, he erased the last value and needs to figure it out. If the mean of X was 2.2, then what was the last value?
There are 7 women and 9 men on a faculty. How many ways are there to select a committee of 5 members if at least 1 member must be a woman?
Create a matlab code to find principal stresses, principal planes, maximum and minimum shear stresses and their planes (for any specified state of stress).
A company can borrow $100,000 at 10% compounded annually for 10 years. To repay the debt at the end of 10 years, a sinking fund is to be setup at 9% compounded annually.
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
Educational attainment and smoking status.
Sketch the given region R and then find its area. R is the rectangle with vertices (1, 0), (-2, 0), (-2, 5), and (1, 5).
question prove if triangle abc and triangle def are two right triangles with right angles at the vertices c and f
Mean and Variance and Error Probability, Binary data are transmitted over a noisy communications channel in block of 16 binary digits
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