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Q: solve each equation. Don’t forget to check each of your potential solutions. √(2n + 3) - 2 = -1
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A: Find the slope between the two points
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Q: Determine which of the four inner product axioms do not hold. Give a specific example in each case.
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Q: Solve the equation. |x + 4| = 0.5
A: To solve the equation: |x+4|=0.5 Solution: |x+4|=0.5 On simplifying further we get: |x+4|=0.5⇒x+4=±0...
Q: Ques – 2: Each student in a class of 40 plays at least one indoor game chess, carrom and scrabble. ...
A: Given: Each student in a class of 40 plays at least one indoor game chess, carrom, and scrabble. 18 ...
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A: Given: McDonuts charges Php 18 each for special heart chocolate doughnuts on Valentine's Day. Plus, ...
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A: Solution:-
Q: D) Solve the following eq" with the help of Cramer's Rule. x+2y + 3z=6 2x + 4y +z=7 3x +2y +9z 14
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A: The suspension cable that support a footbridge hangs in the shape of a parabola the height h in feet...
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Q: Use the Pythagorean identities to write the expression as an integer.
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Q: (20) Let X be a random variable with p.d.f. 1 3 e - - X 0 <x<0 - k f (x) = find k. O.W
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Q: Solve for x 5 log(x + 4) = 10
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Q: Find the local maxima and local minimum value of function f(x) =xx
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A: We have to check which equation does not represent a linear function of x We know that , A linear ...
Q: (a) What is the logical first step in solving the equation | 2r - 1| = 5? (b) What is the logical fi...
A: a) The given equation is, 2x-1=5. We use the absolute value to obtain two equations. Thus, 2x-1=5 is...
Q: (2-3x -15xS1 (x)={x-2 nsider the piecewise linear function given by the formula f (x) =< Determine t...
A: To find the solution of the given equations
Q: evaluate the logarithms, if possible.Give approximate solutions to four decimal places.14. log 22 15...
A: evaluate the logarithms, if possible.Give approximate solutions to four decimal places.14. log 22 15...
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Q: Andrea is 3 times as old as Pauline, 10 years from now Andrea will be twice as old as Pauline, How o...
A: Let the present age of Pauline be x. Andrea is 3 times as old as Pauline. Therefore the age of Andre...
Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.
Step by step
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- A researcher is interested in understanding how the flexibility of vacation policies at a company influence employee satisfaction with their job. Company 1, Vance Refrigeration, has a 2 week vacation policy in which employees can take those 2 weeks at any time during the year. Company 2, Dunder Mifflin Paper Company, has a 2 week vacation policy in which employees can only take vacation days during specific pre-approved times of year. What is the confound?A car agency has offices in Phoenix, Denver and Chicago. The agency allows one- or two-way rentals so that cars rented in one location may end up in another. Statistics show that at the end of each week 70% of all rentals are twoway. As for the one-way rentals: from Phoenix, 40% go to Denver, and the rest to Chicago; from Denver, 60% go to Chicago and the rest to Phoenix; from Chicago, 40% go to Denver and the rest to Phoenix; (a) Express the situation as s Markov chain. (b) If the agency starts the week with 100 cars in each location, what will the distribution be like in two weeks (two-step transition probability matrix)? (c) If each location is designed to handle a maximum of 120 cars, would there be a long run space availability problem in any of the location?A marketing research group conducting a telephone survey must contact at least 150 wives and 120 husbands. It costs P100 to make a daytime call and (because of higher labor costs) P150 to make an evening call. On average, daytime calls reach wives 30% of the time, husbands 10% of the time, and neither of these 60% of the time, whereas evening calls reach wives 30% of the time, husbands 30% of the time, and neither of these 40% of the time. Staffing considerations mean that daytime calls must be less than or equal to half of the total calls made. How many should be interviewed at each period to minimize the cost of completing the survey? fomulate the LP Model; identify the decision variables used in the model; and determine the optimal solution using graphical method.
- An engineering company will hire new staff to develop new products, using production teams of engineers (core staff) and support staff on each team. Teams are labeled as: Design, Production, Analysis, Test. The core staff numbers in each team and the total number of engineers in each field to be recruited are as follows: Each design team consists of 2 Construction / environment, 4 Mechanical / design and 2 computer / software personnel; each production team consists of 3 construction/environmental, 0 mechanical/design and 6 computer/software personnel; and such that.)Accordingly, if x1, x2, x3 and x4 are the number of design, production, analysis and testing teams, respectively, find these values.The manager of a small store decided to make half of his employees complete a mandatory training program. Among other things, the training program teaches employees to better serve the customers, be more proactive, appropriately greet customers, etc. After completion of the training program, the manager asks the group that did not receive the training program (non-training group 1) to work for a week (week 1) and then asks the group that received the training program (training group) to work the next week (week 2). During week 1 and week 2 he collects data regarding customer satisfaction from 450 and 800 people respectively using the following item: How satisfied are you with our customers? Not satisfied at all Very Satisfied 1 2 3 4 5 6 7 For week 1 the average customer satisfaction was 4.5 and for week 2…Suppose you are a production manager for a small firm that manufactures GPUs (i.e., video cards) for computers. Your production facility utilizes three identical machines. Quality is binary — each GPU is either defective or it is not defective. Machine 1 produces 40 GPUs per day, and past experience suggests that, on average, 2% of its output will be defective. Machine 2 produces 20 GPUs per day, and past experience suggests that, on average, 3% of its output will be defective. Machine 3 produces 10 GPUs per day, and past experience suggests that 4% of its output will be defective. Any unit of output is not identifiable as having been produced by Machine 1, 2 or 3. (a) Suppose that on March 3, 2022, one GPU is randomly selected from the day’s 70 units of production. That unit is found to be defective. What is the probability that that defective unit was produced by Machine 1? Machine 2? Machine 3? (b) Now suppose that on March 4, 2022, the firm operates only Machine 1. Of its 40 units…
- The head of the department of management at Mitil University has noticed that the four secretaries in the department office seem to spend a lot of time answering questions from students that could better be answered by the college advising office, by the faculty advisors, or simply from the available literature; that is, course schedules, catalogs, the students handbook, and so on. As a result the department head is considering remodeling the office with cubicles so student do not have easy access to the secretaries. However, before investing in this project the head has decided to conduct a work sampling study to determine the proportion of time the secretaries spend assisting students. The head arranged for a graduate assistant to make observation for the sample, but the graduate student's schedule enabled her to make only 300 random observations in the time allotted of the time, somewhat less than the head anticipated. a. Given the number of observations that were included in the…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.