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A theatre has a seating capacity of 900 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults s children and students combined. The receiipts totaled $5600. How many children attended the show?
A paper bag contains a mixture of three types of candy. There are ten gum balls, seven candy bars, and three packages of toffee. Suppose a game is played in which a candy is randomly taken from the bag
Find the standard deviation, , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
A merchant has coffee worth $20 a pound that she wishes to mix with 50 pounds of coffee worth $80 a pound to get a mixture that can be sold for $30 a pound. How many pounds of the $20 coffee should be used.
A survey of 1000 registered voters revealed that 450 people would vote for candidate A in an upcoming election. If 220,000 people vote in the election, how many votes would the survey takers predict candidate A should receive?
To find the rate of increment in the height of conical pile at a particular point using differentiation.
A study conducted at a certain college shows that 63% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her ..
A father and his son can clean the house together in 7 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone.
What is the probability that all the aces will appear before any of the tens? Compute Deck of cards probability
Dividing a complex number with another number.
A rancher plans to set aside a rectangular region of 1 square km for horses. A wooden fence encloses the area, and the side along a highway will cost 3 times as much per sq meter as the other sides to fence. Find the dimensions to minimize cost.
A certain flight arrives on time 66 percent of the time. Suppose 106 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that exactly 75 flights are on time.
the cost to rent a construction crane is $750.00 per day plus $250.00 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed over $2500.00 per day?
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