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Many manufacturing problems involve the matching of machine parts, such as shafts that fit into a valve hole. A particular design requires a shaft with a diameter of 22,000 mm, but shafts with diameters between 21.990 mm and 22.010 mm are acceptable. Suppose that the manufacturing process yields shafts with diameters normally distributed, with a mean of 22.002 mm and a standard deviation of 0.005 mm. For this process, what is
a. the proportion of shafts with a diameter between 21.99 mm and 22.00 mm?
b. the probability that a shaft is acceptable?
c. the diameter that will be exceeded by only 2% of the shafts?
Justin travels 30 miles at a rate of 65 mi/hr to get to work each day. About how long does the drive take?
A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from tower A, spots the same fire at direction of 255 degrees.
Find the number of deer in the park
a 42 inch- long guitar is 10.5-feet-long on a stadium screen. a drum is 21 inches wide. how wide is the image on the stadium screen?
the area of a rectangle is 100 square inches. the perimeter of the rectangle is 40 inches. a second rectangle has the
a telemarketer must call 157 U.S. phone numbers every shift to meet their quota. How many buttons will have to be pushed to mke 157 long distance calls?
A person has eight shirts, three belts, five pairs of pants, and two pairs of shoes. If an outfit consists of one shirt, one belt, one pair of pants, and one pair of shoes, how many different outfits can the person make?
Suppose that X1=-1, x2=2, x3=4, x4=-3 is a solution of a non-homogeneous linear system Ax = b and that the solution set of the homogeneous system Ax=0 is given by the formulas:
If 20 units of A are required in Week 10, use the low-level-coded bill of materials (product structure tree) to ?nd the necessary planned order releases for all components.
solving differential equations with initial conditionshow much would it cost to solve this onesuppose organisms grow in
A patient is being treated with laser therapy to remove a tumour that is located behind a vital organ. The tumor is 5.7 cm below the skin. To avoid the organ, the entry point of the laser must be 12.4 cm above the tumour along the skin.
In 2007, a bank was offering 4.39% interest on its online Orange Savings Account, with interest reinvested quarterly. Find the associated exponential model for the value of a $4,000 deposit after t years.
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