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A movie theater had a certain number of tickets to give away. Five people got the tickets. the first one got 1/3 of the tickets, the second one got 1/4 of the tickets, the third one got 1/5 of the tickets. The fourth person got 8 tickets, and there were 5 tickets left for the fifth person. Find the total number of tickets given away. Show and explain work please.
An airplane is flying on a compass heading of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane and find the actual ground speed and direction of the plane.
Starting with a hyperplane that does not separate the points, use the perceptron algorithm to find a separating hyperplane. Did the algorithm find the maximum margin separating hyperplane.
A particular company produces widgets. Each widget sells for $9, and the variable cost of producing each unit is 40% of the selling price. If the monthly fixed costs incurred by the company are $50,000, what is the break-even point?
The weight of a product is normally distributed with a mean of four ounces and a variance of 0.25 "squared ounces".
Calculating the probability from a given situation using combinations. A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random.
Use the quadratic formula to find out how long after the rocket is launched it will hit the ground. Round to the nearest tenth of a second.
Construct a tree diagram to represent this situation. A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 3 or 7.
Find the number of calculators produced from the beginning of the third week to the end of the fourth week. (Round your answer to the nearest integer.)
The yearly production of a 5 foot orange tree is 36 pounds of oranges. A 14 foot tree produces 72 pounds. What is the predicted production of an 18 foot tree?
Write the converse of this statement. Is the converse true. Explain. Write the contrapositive of this statement. Is the converse true. Explain.
Augmented matrices to solve the equations
A vertical right cylindrical tank measures 30 ft high and 20 ft in diameter. It is full of kerosene weighing 51.2 lb/ft cubed. How much work does it take to pump the kerosene to the level of the top of the tank?
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