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1) An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to check the transmission. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that the auto dealer will need to order more new transmissions?
2) The weight of bags of fertilizer is normally distributed, with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh between 45 and 55 pounds.
3) The Manager of the local National Video Store sells video cassette recorders at discount prices. If the store does not have a video recorder in stock when a customer wants to buy one, it will lose the sale because the customer will purchase a recorder from one of the many local competitors. The problem is that the cost of renting warehouse space to keep enough recorders inventory to meet all demand is excessively high. The manager has determined that if 90% of customer demand for recorders can be met, then the combined cost of lost sales and inventory will be minimized. The manager has estimated that monthly demand for recorders is normally distributed, with a mean of 180 recorders and a standard deviation of 60. Determine the number of recorders the manager should order each month to meet 90% of customer demand.
a 25 foot rope is used to keep a boat 18 feet away from a dock. The rope connects to the boat at the level of the water. What is the angle formed between the rope and the level of the water
Computing the height of the building -If, at this point, he is 12 feet from the building, what is the height of the building? Draw a picture, show all work, and find the solution. Round to the nearest hundredths.
A carpentar is building a rectangular room with a fixed perimeter of 388 ft. What dimensions would yield the maximum area? What is the maximum area? The lenght that would yeild teh maximum feet is what?
Two trains leave stations 384 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
What is the elongation in the (2, 2, 1) direction? What is the change of angle between two perpendicular lines (in the undeformed state) in the directions (2, 2, 1) and (3, 0, 6)?
at a local market the average weekly grocery bill is $57.85 with a standard deviation of $14.25 what is the lowest amount spent by the upper 25% of market customers?
How much will the company owe on the equipment if they buy it after 15 months?
Question about Elliptic boundary value problem, Uxx means second derivative with respect to x, Uyy means second derivative with respect to y
A building is 172 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 22 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
Vectors as linear combinations of the vectors
Find the value of the linear correlation coefficient r.
The perimeter of rectangle z is equal to its area. Rectangle y has the same perimeter as rectangle z. The length of rectangle y is five inches and the width is three inches. Explain how you can find the length.
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