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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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- Sulaiman is planning to take his car for regular service. The work required in servicing is divided into several activities and represented in the below table along with the time taken for each task: ACTIVITY TASK Activitysymbol iMMEDIATEPREDECESSORS Duration (min) Open the petrol tank cap A - 2 Add petrol (Paid service) B A 14 Close the petrol tank cap C B 10 Open bonnet, check and add engineoil (Paid service) D - 19 Check radiator coolant, Checkbattery, Close bonnet E D 12 Clean the wind shield, Check airpressure in tires F - 12 Prepare bill G B,E 11 Collect payment H G 15 Draw the network diagram and find the earliest start and latest finish time of all the activities. Also determine thetotal project time for which Sulaiman will stay at the service station and list out the critical activities.Anela is a computer scientist who is formulating a large and complicated program for a type of data processing. She has three ways of storing and retrieving data: cloud storage, disk, or hard drive. As an experiment, she sets up her program in three different ways: one using cloud storage, one using disks, and the other using a hard drive. Then she makes four test runs of this type of data processing on each program. The time required to execute each program is shown in the following table (in minutes). Use a 0.01 level of significance to test the hypothesis that the mean processing time is the same for each method. Hard Drive Cloud Disks 8.4 6.8 7.2 9.3 9.6 6.8 8.1 7.0 9.6 8.3 7.9 8.6 (ii) Find the sample test statistic. (Round your F Ratio to two decimal places. Round all other answers to four decimal places.) (vi) In the case of one-way ANOVA, make a summary table. (Round your answers to three decimal places.)Anela is a computer scientist who is formulating a large and complicated program for a type of data processing. She has three ways of storing and retrieving data: cloud storage, disk, or hard drive. As an experiment, she sets up her program in three different ways: one using cloud storage, one using disks, and the other using a hard drive. Then she makes four test runs of this type of data processing on each program. The time required to execute each program is shown in the following table (in minutes). Use a 0.01 level of significance to test the hypothesis that the mean processing time is the same for each method. Hard Drive Cloud Disks 8.8 7.5 7.1 8.8 9.2 6.6 8.0 7.2 10.2 7.6 7.9 8.0 (i) Give the value of the level of significance. (ii) Find the sample test statistic. (Round your F Ratio to two decimal places. Round all other answers to four decimal places.) (vi) In the case of one-way ANOVA, make a summary table. (Round your answers to three decimal places.)…
- LL Pea stores clothes at five different locations. Severaltimes a day it sends an “order picker” out to each locationto pick up orders. Then the order picker must return to thepackaging area. Describe a TSP that could be used tominimize the time needed to pick up orders and return tothe packaging area.Anela is a computer scientist who is formulating a large and complicated program for a type of data processing. Anela has three ways of storing and retrieving data: cloud storage, disk, or hard drive. As an experiment, Anela sets up her program in three different ways: one using cloud storage, one using disks, and the other using a hard drive. Then Anela makes four test runs of this type of data processing on each program. The time required to execute each program is shown in the following table (in minutes). Use a 0.01 level of significance to test the hypothesis that the mean processing time is the same for each method. Hard Drive Cloud Disks 8.7 7.2 7.0 9.3 9.1 6.4 7.9 7.5 9.8 8.0 7.7 8.2Which of the following is the largest number of jobs that could theoretically be within the software industry at present, based on the information available? A) 1,4 million B) 2,4 million C) 4 million D) 8 million E) 10 million Transcribed Image Text:Preparing for Automation The possibility of having robots or mechanical assistants completing our laborious, dangerous, or repetitive day-to-day tasks has long been a dream of humanity. Now, as Robotic Process Automation (RPA) becomes commonplace, this dream or concern, depending on viewpoint - is getting closer. RPA, far from the walking, talking android commonly found in science fiction series, can be thought of as a programmable piece of software which, through using a series of rules, will complete repetitive tasks with a lower error rate and less interruption than a human completing the same tasks. The aim of RPA, beyond improving efficiency, is to free up humans from the monotony of roles like data entry, stock management and…
- Which of the following is the largest number of jobs that could theoretically be within the software industry at present, based on the information available? A) 1,4 million B) 2,4 million C) 4 million D) 8 million E) 10 millionIf there is no seasonal effect on human births, one would expect equal numbers of children to be born in each season (winter, spring, summer, and fall). A student takes a census of her statistics class and finds that of the 120 students in the class, 26 were born in winter, 37 in spring, 31 in summer, and 26 in fall. She wonders if the excess in the spring is an indication that births are not uniform throughout the year. Complete parts a) through c) below. A. What is the expected number of births in each season if there is no "seasonal effect" on births? B. Compute the chi squared-statistic. C. How many degrees of freedom does the chi squared-statistic have?A psychologist claims that the number of repeat offenders will tend to change if first time offenders complete a particular rehabilitation course. You randomly select 20 prisons and record the number of repeat offenders during a two year period. Then, after first time offenders complete the course, you record the number of repeat offenders at each prison for another two year period. The results are shown in the following table. Prison 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20Before 21 34 9 45 30 54 37 36 33 40 11 25 13 8 14 21 18 33 40 10After 19 22 16 31 30 30 22 18 17 21 19 25 13 14 23 21 12 32 25 10Conduct a sign test at 0.05 significance level. Test if the number of offenders before rehabilitation is significantly different to the number of repeat offenders
- Town Date time Temp. max Temp. min temp Feels like max Feels like min Feels like dew London 2022-07-07 23.3 16.7 19.5 23.3 16.7 19.5 11.5 London 2022-07-08 26.9 15 21.2 26.7 15 21.2 12.4 London 2022-07-09 25 15.9 20.6 25 15.9 20.6 11.4 London 2022-07-10 26.6 14.7 20.8 26.6 14.7 20.8 12.3 London 2022-07-11 29 16.4 22.8 28.2 16.4 22.7 12.5 London 2022-07-12 30.1 18.4 23.9 28.6 18.4 23.6 12.2 London 2022-07-13 26.5 17.3 20.9 26.5 17.3 20.9 14.3 London 2022-07-14 23.5 12 17.7 23.5 12 17.7 7.4 London 2022-07-15 24.6 13.4 18.4 24.6 13.4 18.4 8.8 London 2022-07-16 30 13.6 21.7 29.4 13.6 21.5 11.7 London 2022-07-17 25.9 13.7 19.5 25.9 13.7 19.5 9.4 From the data/table above Calculate and discuss** the followings. Please provide the steps for the calculation…Town Date time Temp. max Temp. min temp Feels like max Feels like min Feels like dew London 2022-07-07 23.3 16.7 19.5 23.3 16.7 19.5 11.5 London 2022-07-08 26.9 15 21.2 26.7 15 21.2 12.4 London 2022-07-09 25 15.9 20.6 25 15.9 20.6 11.4 London 2022-07-10 26.6 14.7 20.8 26.6 14.7 20.8 12.3 London 2022-07-11 29 16.4 22.8 28.2 16.4 22.7 12.5 London 2022-07-12 30.1 18.4 23.9 28.6 18.4 23.6 12.2 London 2022-07-13 26.5 17.3 20.9 26.5 17.3 20.9 14.3 London 2022-07-14 23.5 12 17.7 23.5 12 17.7 7.4 London 2022-07-15 24.6 13.4 18.4 24.6 13.4 18.4 8.8 London 2022-07-16 30 13.6 21.7 29.4 13.6 21.5 11.7 London 2022-07-17 25.9 13.7 19.5 25.9 13.7 19.5 9.4 For the data above , use the linear forecasting model which is y = mx + c to calculate and discuss…Town Date time Temp. max Temp. min temp Feels like max Feels like min Feels like dew London 2022-07-07 23.3 16.7 19.5 23.3 16.7 19.5 11.5 London 2022-07-08 26.9 15 21.2 26.7 15 21.2 12.4 London 2022-07-09 25 15.9 20.6 25 15.9 20.6 11.4 London 2022-07-10 26.6 14.7 20.8 26.6 14.7 20.8 12.3 London 2022-07-11 29 16.4 22.8 28.2 16.4 22.7 12.5 London 2022-07-12 30.1 18.4 23.9 28.6 18.4 23.6 12.2 London 2022-07-13 26.5 17.3 20.9 26.5 17.3 20.9 14.3 London 2022-07-14 23.5 12 17.7 23.5 12 17.7 7.4 London 2022-07-15 24.6 13.4 18.4 24.6 13.4 18.4 8.8 London 2022-07-16 30 13.6 21.7 29.4 13.6 21.5 11.7 London 2022-07-17 25.9 13.7 19.5 25.9 13.7 19.5 9.4 From the data/table above Calculate and discuss** the followings. Please provide the steps for the calculation…
