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How parents can assess children's learning at home and how the task can be differentiated. Must provide two examples of differentiation tasks. Mathematics in Practice Assignment 2

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter2: Solving Linear Inequalities

Section2.6: Solving Absolute Value Inequalities

Problem 46E

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Mathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph and (b) describe how closely the model represents the data. If the model does not closely represent the data, suggest another type of model that may be a better fit. The ordered pairs below give the revenues y (in billions of dollars) for Activision Blizzard, Inc., from 2008 through 2014. 2008,3.032012,4.862009,4.282013,4.582010,4.452014,4.412011,4.76 A model for the data is y=0.184t+2.32,8t14, where t represents the year, with t=8 corresponding to 2008.
HOW DO YOU SEE IT? Discuss how well a linear model approximates the data shown in each scatter plot.
Mathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph and (b) describe how closely the model represents the data. If the model does not closely represent the data, suggest another type of model that may be a better fit. The ordered pairs below give the civilian non-institutional U.S. populations y (in millions of people) 16 years of age and over not in the civilian labor force from 2006 through 2014. 2006,77.42011,86.02007,78.72012,88.32008,79.52013,90.32009,81.72014,92.02010,83.9 A model for the data is y=1.92t+65.0,6t14, where t represents the years, with t=6 corresponding to 2006.
Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.
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Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The president of a large bank with many branch offices wanted to know if the quality of customer service at a new branch office was acceptable. One aspect of service that was examined was the length of time that customers had to wait in line before being helped by a member of the bank's staff. The bank decided on acceptable probabilities for the waiting- time categories, and these are given in the table below. Το investigate whether the quality of customer service was acceptable, waiting times were recorded for a random sample of 100 customers at the new branch office. The table below shows the numbers of customers observed in the five waiting-time categories. Use the sample data for the 100 customers to conduct a statistical test to determine if the waiting times at the new…
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Part 2 According to the US Bureau of Labor Statistics, Data The data can be found at stat.hawkeslearning. com Data Sets > Employee Satisfaction. there was a 12.4% incidence of workplace injury in 2016 in the private sector. If the workplace accident rate is above 12.4% , the company will increase inspections and implement additional safety training. For this data, is there statistical support to increase inspections and implement additional safety training? Use the entire dataset and the work accident variable where 0 = no accident and 1= an accident occurred. 1. Is work accident a qualitative or quantitative variable? 2. Graph the accident at work data with an appropriate graph and calculate statistics appropriate for this type of data. 3. Conduct the appropriate hypothesis test using the following steps. a. Determine the null and alternative hypotheses. b. Use a significance level of a = 0.05. c. Validate the assumptions of the hypothesis test, identify the appropriate test…
Job Satisfaction Survey Assignment You will be creating 7 different scales: work, pay, supervision, co-worker, opportunities, engagement and commitment. With the exception of Overall (which should be kept as is), each scale is the average of the items within the dimension. For example, the work scale will be the average of the four work items, W1 – W4, for each observation. Cut and paste (you will need to use the paste special option) until you have a clean data set that looks like the following: Observation Gender Age Education Level Work Pay Supervision Co-worker Opportunities Engagement Commitment Overall 1 M 30 B N 2.5 3.75 2.5 2.25 3 3.75 2.5 6 2 F 28 A H 2.25 3 3 4 2.25 2.25 2.25 4 I recommend that you keep a “clean” copy of this revised/scaled data set saved separately. You will need to sort the data several times for the following analyses. Begin each analysis with a newly copied…
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Continue monitoring the process. A second ten days of data have been collected, see table labeled “2nd 10 Days of Monitoring Reservation Processing Time” in the Data File. Develop Xbar and R charts for the 2nd 10 days of monitoring. Plot the data for the 2nd 10 days on the Xbar and R charts. Is the reservation process for the 2nd 10 days of monitoring in control? If the control chart indicates an out-of-control process, note which days, the pattern, and whether it is the Xbar or R chart. Based on the X-bar and R Charts that you developed for the 2nd 10 days of data, is the process in control? Group of answer choices No. The X-bar and R Charts are both out of control. No. The X-bar Chart is in control, but the R Chart is out of control. No. The R Chart is in control, but the X-bar Chart is out of control. Yes. The X-bar and R Charts are both in control.