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There is a pound bag on the left plate of a scale. There is a pound bag on the right plate. Mike has to balance the scale by adding pound bags to the left plate and pound bags to the right plate. Suppose that he must add the same number of bags to each side. How many bags must he add to each side in order to balance the scale?
A rifle bullet is fired into the air with a velocity of 700 feet per second at an angle of 65 degrees from the horizontal. Find the magnitude of the horizontal and vertical components of the velocity vector.
You pay $6 to play a game where you will roll a die, with a payoff as follows: $8 for a 6, $7 for a 5, and $4 for any other result. What are your expected winnings? Is the game fair?
Is there a point at which your investment appears to grow more quickly? What can you conclude about the affect of time on your retirement plans?
A ship travels 50 km on a bearing of N27°E. It then makes a left turn of 90° and travels for 140 km. Find the bearing of the ship to the starting point. Round the answer to one decimal place.
Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
The minute hand on a watch is 5 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
The number of staff personnel needed to handle patients at a medical center is determined by the mean time that patients must wait before being attended to by a physician. For a random sample of 100 previously recorded emergencies, the sample mean..
consider an election with 1025 voters. Suppose that at least 129 votes are needed to have the plurality of the votes. What is the number of candidates in the election?
Confirm that (C ([a, b]) , II·II infinity ) where II f II infinity= max I f (x) I a
Solve each of the following initial value problems: Check to see if eigenvectors are multiples of the given eigenvectors.
A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3,6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B, or C.
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