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Billy likes to go cycling.His bike has wheels of diameter 75cm. He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 150 revolutions.How far has Billy cycled?
If 1600 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Standard deviation, Variance and Covariance. Calculate the standard deviation and variance of each set data, and covariance.
Specifications for the computer upgrades are 78 minutes and 81 minutes. Estimate the percentage of process output that can be expected to fall within the specifications. (Round your answer to 1 decimal place. Omit the "%" sign in your response.)
Find the total profit,the maximum value of the total profit, and the value of x at which it occurs when the revenue is given by R(x)=210x-x^2 and the cost is given by C(x)=5000+8x.
Undergraduate senior level Real Analysis. Please show me formal math proofs. Give an example of a binary relation which is
Probability questions
Failures per day for a computer network follow the Poisson distribution with mean 0.3. What is the probability that two or more failures occur in
$180 were split between 3 friends. The ratio was 2:3:5. How much money did each person gets?
A toy rocket is launched straight up from the top of a building 64 ft tall at an initial velocity of 243 ft per sec. Using the function V(x)=-16t^2+vt+h, answer the following.
Find the least squares approximation of e^x over the interval [0,1] by a polynomial of the form ao+a1x. Find the mean square error of the approximation.
Law of sines.
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
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