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A run is a maximal sequence of successes in a sequence of Bernoulli trials. For example, in the sequence S,S,S,F,S,S,F,F,S, where S represents success and F represents failure, there are three runs consisting of three successes, two successes, and one success, respectively. Let R denote the random variable on the set of sequences of n independent Bernoulli trials that counts the number of runs in this sequence. Find E(R)
What is the slope of a line that is perpendicular to it?
Draw a rectangular box that has P and Q as opposite vertices and has its faces parallel to the coordinate planes. Then find the coordinates of the other six vertices of the box and the length of the diagonal of the box
What are the x and y coordinates of this object 2 seconds after the string is cut? Be accurate to one decimal digit and include units.
erik works 35 hours under one week and earns 3010 sek. anna has the same hourly wage and earns 1892 sek.a how many
What were the initial species populations when the invasion began? At what time will the predator and prey populations reach a maximum? what are the maximum populations?
The length of a rectangular garden is 10 feet longer than its width. If the garden's perimeter is 212 feet, what is the area of the garden in square feet?
On what scale is the speed of each car measured?
A bacteria culture initially contains 1132 bacteria and doubles every half hour. Find the size of the bacterial population after 60 minutes.
Ashley bought a new computer for $1250.She paid $140 down payment and financed the rest for one year. Find the total interest paid on the given amortized loan.
Unfortunately, the weatherman has predicted rain for tomorrow. When it actually rains, the weatherman correctly forecasts rain 9090 of the time. When it doesn't rain, he incorrectly forecasts rain 1010 of the time.
the dimensions of a rectangle are such that its length is 3 inches more than its width. if the length were doubled and if the width were decreased by 1 inch,the area would be increased by 204 inches squared. what are the length and width of the re..
Find the unit tangent vector T(t). r(t) = t2i + tj +4k , P(9, 3, 4) Find a set of parametric equations for the line tangent to the space curve at point P.
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