An urn contains three red marbles and four blue marbles. One marble is selected at random, its color is noted, and it is returned to the urn. Another marble is then selected. What is the probability the second marble drawn is red? 117 N/7 337 36
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- The production department is proposing the purchase of an automatic insertion machine. It has identified three machines and has asked the accountant to analyze them to determine which one has the best average rate of return. Machine A Machine B Machine C Estimated average income $45,593.52 $70,301.40 $72,086.10 Average investment 325,668.00 234,338.00 480,574.00A black box has a total of 10 balls sitting inside. One ball is labeled $100. Two balls are labeled $200, and seven balls are labeled $300. Suppose that you are offered the opportunity of picking one ball at random, meaning you choose one ball but you can’t see it. What is the expected value of this opportunity? Select one: a. $260 b. $230 c. $285 d. $245 e. $215You own a local company that has special equipment for moving pianos. Your company has enough equipment to handle three pianos in a day. The number of requests to move pianos is a random variable with following distribution. → x f(x) 0 0.30 1 0.38 2 0.15 3 4 0.05 5 0.03 6 0.01 4 What is the expected value of the number of requests? a 1.29 b 1.33 c 1.37 d 1.41
- According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select four peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) Compute the probability that at least three of the four M&M’s are blue.A rock company uses five types of rocks to fill six orders. The phosphate content, availability of each type of rock, and the production cost per pound for each rock are shown the picture, as well as the size of each order and the minimum and maximum phosphate percentage in each order. What is the minimum total cost?The production department is proposing the purchase of an automatic insertion machine. It has identified three machines and has asked the accountant to analyze them to determine which one has the best average rate of return. Line Item Description Machine A Machine B Machine C Estimated average income $47,060.44 $72,961.50 $73,785.60 Average investment 336,146.00 243,205.00 491,904.00 a. Machine C b. Machine A c. Machines B and C have the same preferred average rate of return. d. Machine B
- An industrial recycling center uses two scrap aluminum metals, A and B, to produce a special alloy. Scrap A contains 6% aluminum, 3% silicon and 4% carbon. Scrap B has 3% aluminum, 6% silicon and 3% carbon. The costs per ton for scraps A and B are $100 and $80, respectively. The specifications of the special alloy require that (1) the aluminum content must be at least 3% and at most 6%, (2) the silicon content must lie between 3% and 5%, and (3) the carbon content must lie between 3% and 7%. Determine the optimum mix of the scraps that should be used in producing 1000 tons of the alloys.An airliner carries 200 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is____ (Round to four decimal places as needed.) b. If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 78 in. The probability is____ (Round to four decimal places as needed.) c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? A. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. B. The probability from part (a) is more relevant…Assume that Medina Co. makes footballs and is trying to determine the quantity of leather it should order every time an order is placed. The relevant information is as follows:a. over the course of a year 12,000 square meters of leather will be needed,b. the cost of storing 1 square meter of leather is $3 andc. the cost of placing an order is $450. What is the Economic Order Quantity?
- John, who works for Dumas Jewelers, has decided to use the weighted attribute method to compare three systems of cutting diamonds for setting into rings, earrings, necklaces, and bracelets. Once the final inspector and cutting manager scored each of three attributes in terms of importance to them, John placed an evaluation from 0 to 100 on each system for the three attributes. John’s ratings for each system follow: System Attribute 1 2 3 1. ROR > MARR 50 70 100 2. Throughput rate 100 60 30 3. Accuracy 100 40 50 (a) Use the weights below to evaluate the systems. (b) Are the results the same for both individuals’ weights? Why? Importance Score Inspector Manager 1. ROR > MARR 20 100 2. Throughput rate 80 80 3. Accuracy 100 20Please I will need A. The total cost of all orders. B. The total quantity of airframe fasteners purchased. C. The total cost of all orders placed with Manley Valve.North Platt Machinery Company manufactures a shaft that must fit inside a sleeve. The firm has just received an order of 50,000 units from Southernstar Exploration Company for $80 per unit. North Platt can manufacture the shaft at $50 per unit. Southernstar desires the diameter of the shaft to be 1.275 cm. The diameter of the shaft must not be less than 1.25 cm in order to fit properly inside the sleeve. To be able to insert the shaft into a sleeve without the use of force, the diameter cannot be larger than 1.30 cm. A defective shaft is discarded and a replacement has to be shipped via express freight to locations around the world. North Platt estimates that the average cost of handling and shipping a replacement shaft will be approximately $70. Shown below are the diameters from a sample of 80 shafts manufactured during a trial run: Diameter Number of Units Diameter Number of Units Diameter Number of Units 1.232 1 1.273 6 1.292 2 1.240 2 1.274 7 1.293 1 1.250 3…