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the operating cost of a truck is 12+x/6 cents per mile when the truck travels x miles per hour. If the driver earns $6 per hour, what is the most economical speed to operate the truck on a 400 mile turnpike? Due to construction, the truck can only travel betweeen 35 and 60 miles per hour
An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,and 2 cans of mango juice. What is the probability of selecting a can of apple juice
Probability using Bayes theorem. An oil executive has determined that the probability that this oil field contains oil is 0.6. Before starting the drilling she decides to order a seismological test to see if there is oil in the ground.
A force of 623 lb is required to pull a boat up a ramp inclined at 22.0 degrees with the horizontal. How much does the boat weight?
A ranger in tower A spots a fire at a direction of 313. A ranger in tower B, located 60 mi at a direction of 51 from tower A, spots the fire at a direction of 299. How far from tower A is the fire? How far from tower B?
In the class, there are 17 females, of whom 8 are freshmen and 16 males, of whom 7 are freshmen. If one student is selected at random, what is the probability of selecting a freshmen or a female?
A grapefruit is thrown with a velocity of 50 ft/sec upwards, off the top of a 256- foot tall building. How long does it take for the grapefruit to reach, and splatter all over, the sidewalk below?
A music store has 2 new pop CDs, 3 new rap CDs, and 2 new rock CDs in this week. If you purchase 1 of each type, how many combinations are there?
Find the 99% confidence interval
The manager of a supermarket found that 72% of the shoppers who taste a free sample of a food item will buy the item. What is the expected number of shoppers that will buy the item if a random sample of 50 shoppers taste a free sample?
Which of the properties: reflexive, antisymmetric and transitive are true for the given relation? Begin your discussion by defining each term in general first and then show how the definition relates to this specific example.
Scoring in Golf. A golfer played 8 rounds on a tournament course with the following scores (par is the expected score for a round; negative numbers represent the number of strokes under par for the round
A kite flying high in the sky has an angle of elevation of 78°. If the kite is flying at the end of a 30 ft piece of string, what is its vertical height off of the ground? Round your answer to one decimal place.
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