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A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is d = 1030 kg/m3.
Prove that the element K=k1+k2+....km is the center of the group ring R[G]. Let K1,....Kr be the conjugacy classes of G and for each Ki let Ki be the element of R[G] that is the sum of the members of Ki.
Matrices are the most common and popular way to solve systems of equations. Provide an example of a matrix that can be solved using Gaussian elimination. Show specifically how row operations can be used to solve the matrix.
The measure of the central angle of the sector
Vectors : Identities and Dot Products, How could you use the properties of the dot product to prove the following identities
Finding the possible length using the law of cosine.
A recent study reported that college students study for an average of four hours per day. You believe this figure is too large & you decide to conduct your own test. Find the p value & explain its meaning.
What is the variance of the binomial distribution of voters supporting a particular referendum? In a survey, 80% of the voters support a particular referendum. If 20 voters are chosen at random
Evaluate formulae for the coefficients -Hint: Use the linear transformation
Now there is a fair coin in each room. Each prisoner goes to each room and flips the coin. If the coin comes up heads, prisoner changes the state of the switch.
Finding the density of y and then finding the expectation and (b) using theorem A
In a random sample of 330 homes, what is the probability that more than 70 do not have an answering device? The probability that more than 70 do not have an answering device
Important information about Probability and Statisics. Find the probability that a randomly selected adult has an IQ between 90 and 110
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