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Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost.
An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.
Use the first derivative test to locate and identify all relative extrema
If the rope is pulled through the pulley at a rate of 20 ft/min, at what rate will the boat be approaching the dock when 100 ft of rope is out?
The sentence below is a theorem of predicate logic. Show that it is by deriving it from the null set of premises. If any "individual" in the domain has a property, then every individual has it. I need help explaining this and with the derivation.
If you are 22 years old, deposit $7,825 each year into a traditional IRA for 48 years at 11% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
A rancher has 1200 ft of fencing to enclose two adjacent rectangular regions of equal areas. express the area A of the two rectangles as a function of the width x.
The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far will the car travel in one minute?
The school cafeteria has found that they go through 7 sandwiches for every 4 tickets they sell to the students. Today they have 344 tickets for sale. How many sandwiches do they need to make?
The school's graduates find jobs in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her field within a year of graduating.
If 1100 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.
Each letter stands for a different digit, 0 to 9. No two letters stand for the same digit. TOM + NAG = GOAT. Determine which digit each letter represents.
If a ball is thrown directly upward with a velocity of 28 ft/s, its height (in feet) after t seconds is given by y = 28t - 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
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