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An average computer mouse inspector can inspect 60 mice per hour. The 48 computer mice inspectors at a particular factory can only inspect 55 mice per hour with a standard deviation of 10. Does the company have reason to believe that these inspectors are slower than average?
Find the following antiderivatives for each integral
A cylindrical container 1.7 {rm m} tall contains mercury to a certain depth, d. The rest of the cylinder is filled with water. If the pressure at the bottom of the cylinder is two atmospheres, what is the depth d?
The circumference of a sphere was measured to be 72.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
A home security system is designed to have a 99% reliability rate. Suppose that nine homes equipped with this system experience an attempted burglary.
The radius of a circular disk is given as 26 cm with a maximum error in measurement of .2 cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
The cost per unit of producing each product will be determined by whether a new union labor contract passes or fails. The cost per unit of each product, giving each contract result is shown in the following pay off table.
Find the absolute change and the percentage change in the following case. The population of a country increased from 99 million in 1990 to 259 million in 2010.
What odds should a person give in favor of the following events?
A manufacturer has been selling lamps at $6 apiece, and at this price, consumers have been buying 3,000 lamps per month. The manufacturer wishes to raise the price and estimates that for each $1 increase in price
A rope is wrapped around a pole so that a force of 75 lbs acts on one end and a force of 53 lbs acts on the other end. If the angle between the two forces is 114 degrees what is the resultant force?
Step by step process in solving the following question. Using matrix algebra techniques, find a general solution of the system:
The sides of a square increase in length at a rate of 2 meters / seconds. (a) At what rate is the area of the square changing when the sides are 10 meters long? (b) At what rate is the area of the square changing when the sides are 20 meters long?
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