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A: As per the guidelines we can solve 3 parts only.
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A: (29) y=x^2-2 The function shift the basis graph down 2 unit . Vertical shift down 2 units.
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- A can of cat food, guaranteed by the manufacturer to contain at least 10 units of protein, 20units of mineral matter, and 6 units of fat, consists of a mixture of four different ingredients.Ingredient A contains 10 units of protein, 2 units of mineral matter, and 1 2 unit of fat per100g. Ingredient B contains 1 unit of protein, 40 units of mineral matter, and 3 units of fat per100g. Ingredient C contains 1 unit of protein, 1 unit of mineral matter, and 6 units of fat per100g. Ingredient D contains 5 units of protein, 10 units of mineral matter, and 3 units of fatper 100g. The cost of each ingredient is 3c, 2c, 1c, and 4c per 100g, respectively. How manygrammes of each should be used to minimise the cost of the cat food, while still meeting theguaranteed composition?Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?The parts produced at a certain factory are produced by three machines: Machine X, Machine Y, and Machine Z. 2% of the parts produced by Machine X don't pass quality control inspection, 2% of the parts produced by Machine Y don't pass quality control inspection, and 4% of the parts produced by Machine Z don't pass quality control inspection. Machine X produces 24% of the factory's total output, Machine Y produces 35% of the factory's total output, and Machine Z produces 41% of the factory's total output. Use this information to answer the following questions. a. What is the probability that a part that passes quality control inspection was produced by Machine Y? Enter your answer in decimal form and round to four decimal places if rounding is necessary. Blank 1. Calculate the answer by read surrounding text.b. What is the probability that a part doesn't pass quality control inspection? Enter your answer in decimal form and round to four decimal places if rounding is…
- The parts produced at a certain factory are produced by three machines: Machine X, Machine Y, and Machine Z. 2% of the parts produced by Machine X don't pass quality control inspection, 2% of the parts produced by Machine Y don't pass quality control inspection, and 4% of the parts produced by Machine Z don't pass quality control inspection. Machine X produces 24% of the factory's total output, Machine Y produces 35% of the factory's total output, and Machine Z produces 41% of the factory's total output. Use this information to answer the following questions. a. What is the probability that a part that passes quality control inspection was produced by Machine Y? Enter your answer in decimal form and round to four decimal places if rounding is necessary.The parts produced at a certain factory are produced by three machines: Machine X, Machine Y, and Machine Z. 2% of the parts produced by Machine X don't pass quality control inspection, 2% of the parts produced by Machine Y don't pass quality control inspection, and 4% of the parts produced by Machine Z don't pass quality control inspection. Machine X produces 24% of the factory's total output, Machine Y produces 35% of the factory's total output, and Machine Z produces 41% of the factory's total output. Use this information to answer the following questions. d. What is the probability that a part is produced by Machine X and doesn't pass quality control inspection? Enter your answer in decimal form and round to four decimal places if rounding is necessary.The parts produced at a certain factory are produced by three machines: Machine X, Machine Y, and Machine Z. 2% of the parts produced by Machine X don't pass quality control inspection, 2% of the parts produced by Machine Y don't pass quality control inspection, and 4% of the parts produced by Machine Z don't pass quality control inspection. Machine X produces 24% of the factory's total output, Machine Y produces 35% of the factory's total output, and Machine Z produces 41% of the factory's total output. Use this information to answer the following questions. c. What is the probability that a part passes quality control inspection, given that it was produced by machine Z? Enter your answer in decimal form and round to four decimal places if rounding is necessary.
- The parts produced at a certain factory are produced by three machines: Machine X, Machine Y, and Machine Z. 2% of the parts produced by Machine X don't pass quality control inspection, 2% of the parts produced by Machine Y don't pass quality control inspection, and 4% of the parts produced by Machine Z don't pass quality control inspection. Machine X produces 24% of the factory's total output, Machine Y produces 35% of the factory's total output, and Machine Z produces 41% of the factory's total output. Use this information to answer the following questions. b. What is the probability that a part doesn't pass quality control inspection? Enter your answer in decimal form and round to four decimal places if rounding is necessary.A hunger-relief organization has earmarked between $2 million and $2.5 million (inclusive) for aid to two African countries, Country A and Country B. Country A is to receive between $1 million and $1.25 million (inclusive), and Country B is to receive at least $1 million. It has been estimated that each dollar spent in Country A will yield an effective return of $0.40, whereas a dollar spent in Country B will yield an effective return of $0.80. How should the aid be allocated if the money, in millions, is to be utilized most effectively according to these criteria? Hint: If x and y denote the amount of money, in millions of dollars, to be given to Country A and Country B, respectively, then the objective function to be maximized is P = 0.4x + 0.8y.Scenario 1:You work as a design engineer in SpaceX which is a space exploration company that produces re-usable space rockets. Space rockets in the past used to be disposable, the fact that they only serve for one time then get lost in the space. SpaceX proposed a re-usable rocket, that can go to outer space, deliver some equipment, satellites, or even people to the outer space, and get back to earth to land again in a specified parking point. Where it can be re-fuelled, go through careful maintenance, and go through another journey again. You are regularly requested by your manager to provide technical reports and theoretical explanations about the main components and operational concepts related to these space shuttles. [https://www.spacex.com/]Task 1:Concerned with the number of maintenance visits the rocket can undergo before being out of service, you have been informed that the recent statics show a that after the first journey to the outer space, the rocket was sent to service…
- The city of San Fransokyo is a high-tech city, especially in the field of robotics. There are three big companies that rule the city: Granville, Axcel, and Hamada. The Granville company controls about 50% of the total robot manufacturing in the city of San Fransokyo; Axcel company controls 35%; while the rest is controlled by the Hamadacompany. Based on the information you have obtained, it turns out that 3% of the robots made by Granville have problems with the sensing ability ofthe robot. As much as 5% robots made by Axcel and 1% robots made by Hamada also have the same problem. You want to buy a robot to help with your business and randomly pick up exactly one robot from the three companies. After the item arrives, you do a test, and it turns out that the robot is experiencing a malfunction in its sensing component. Using the Bayes Rule approach, which company is predicted to make the robot you bought? Justify your answer with adequate calculations!A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $19,698, and the variable costs will be $18.75 per book. With the other method, the one-time fixed costs will total $61,156, and the variable costs will be $9.25 per book. For how many books produced will the costs from the two methods be the same?Activity 4 ( 2) Please provide detailed solution with explanation and justification asap to get a upvote