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A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 10 in. by 17 in. by cutting equal squares from the four corners and turning up the sides. (a) Find a mathematical model expressing the volume of the box as a function of the length of the side of the square cut out. (b) What is the domain of the function obtained in part (a)? (c) On a graphics calculator, find accurate to three decimal places the length of the side of the square cut out so that the box has the largest possible volume. What is the maximum volume?
Teachers also found that strength of class is maximum satisfying all above conditions. Determine the total no. chocolates got by student A of the first class.
Make a ninety percent confidence interval for the proportion.
What is the largest domain over which this function is defined? For this domain, what is the corresponding range of the function?
The probability that a basketball player will make a 3 point basket is 3/5. If he tries two 3 point shots
Assume that the average annual salary for a worker in the United States is $28,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,250. Find the following
Probability of a person keeping in touch with his or her parents. Please show the formula, and the steps in working the formula, to solve problems.
Find an equation for the sphere, in the form of a level surface
Mean and Variance of a Probability distribution, A bank keeps tracks of customers coming into the bank between 12 Noon and1 PM on Monday.
Important information about Probability : Sampling without Replacement A bag cotains 10 nickels, 5 dimes, and 3 quarters. If you draw 3 coins at random from the bag, without replacement
What is the probability that he obtains a four -digit number less than 3265? A child takes four of the card and places them in some order.
Based on exponential growth function how long will it take the world population to reach exactly 7 billion? How about 10 billion? Based on the population how long before it will reach 400 million? and 500 million?
Constraints, Decision variables, Objective functions
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