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Consider a class of 55 students. The student names are placed in a hat and 3 names are randomly drawn without replacement.
a) If the first person drawn was named the class president, second person drawn was named vice president, and the third person drawn was named secretary how many different results would be possible?
b) If the class of 55 students consisted of 30 women determine the probability that all three students randomly selected were women.
A 50-foot pole casts a shadow on the ground. a) Express the angle of elevation θ of the sun as a function of the length s of the shadow. (Hint you may wish to draw this firs
Solve the subsequent IVP. y'' - 4y' + 9y = 0, y(0) = 0, y'(0) = -8 Solution The characteristic equation for such differential equation is. As: r 2 - 4r + 9 = 0
Peter purchased 14 latest baseball cards for his collection. This increased the size of his collection through 35%. How many baseball cards does Peter now have? First, you must
briefly explain how the famous equation for the loss of heat in a cylindrical pipe is derived
Ashley's car insurance costs her $115 per month. How much does it cost her per year? Multiply $115 by 12 because there are 12 months in a year; $115 × $12 = $1,380 per year.
how do you differentiate sinx/ex?
The price of gasoline is $1.349 cents per gallon. If the price increases through three tenths of a cent, what will the price of gasoline be? Three tenths of a cent can be writt
For each of these arguments determine whether the argument is correct or incorrect and explain why. a) Everyone enrolled in the university has lived in a dormitory. Mia has never l
Differentiate the following functions. (a) f (t ) = 4 cos -1 (t ) -10 tan -1 (t ) (b) y = √z sin -1 ( z ) Solution (a) Not much to carry out with this one other
Q. Graphs of Sin x and Cos x ? Ans. The sine and cosine functions are related to the path that an object might take around a circle. Suppose a dolphin was swimming over
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