3. The annual number of burglaries in a town rose by 50% in 2012 and fell by 10%in 2013. Hence the total number of burglaries increased by 40% over the two-year period.a. What is the mistaken assumption here?b. Why is that assumption incorrect?c. By what percent has the number of burglaries actually changed in thetwo-year period? show calculationd.By what percent would the crime have to decrease in the second year inorder for the change over the two-year period to actually be a 40%increase? Round to nearest 10th percent (ex-decimal .05873 is 5.873% toone decimal is 5.9%) show calculation 4. A store is currently offering a 60% discount on all items purchased. Your cashieris trying to convince you to open a store credit card and says to you, "In additionto the 60% discount you are receiving for purchasing these items on sale today,you will get an additional 20% off for opening a credit card account. That meansyou are getting 80% off!"a. What is the mistaken assumption here?b. Why is that assumption incorrect?c. If you did truly have 80% discount, explain what should happen whenyou go to the counter to buy $500 worth of items? show calculationd. If you got your 60% discount and opened the card for an additional 20%,what is the actual % discount you would receive? show calculatione. Is it better to apply the 60% discount first or the 20% discount first? showcalculation

According to guidelines, We can solve one question at a time, and three subparts formiste Given,…

Answered: 3. The annual number of burglaries in a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assuming that workers' salaries in your company are uniformly distributed between $10,000 and $50,000 per year. Find the amount of money that 35% of the workers make more than that value?
1. Suppose you run a library and the cost of a particular journal you carry has increased over a ten year period from $14 to $35 a) What is the percentage increase over this time period? b) Is it correct to say that since this was over a ten year period that the cost increased 15% per year? If this is not correct what would the cost of the journal be now if it DID increase 15% per year over this time period? What would the actual percentage increase be in this case
Data on the gasoline tax per gallon (in cents) as of a certain date for the 50 U.S. states and the District of Columbia are shown below. State Gasoline Taxper Gallon State Gasoline Taxper Gallon Alabama 19.1 Missouri 17.2 Alaska 9.1 Montana 27.7 Arizona 19.1 Nebraska 27.8 Arkansas 21.7 Nevada 23.7 California 37.1 New Hampshire 23.9 Colorado 23.4 New Jersey 14.5 Connecticut 25.1 New Mexico 19.0 Delaware 22.9 New York 33.9 District of Columbia 23.4 North Carolina 35.4 North Dakota 23.1 Florida 30.7 Ohio 28.1 Georgia 26.6 Oklahoma 17.1 Hawaii 18.4 Oregon 30.1 Idaho 33.1 Pennsylvania 51.3 Illinois 33.0 Rhode Island 34.0 Indiana 28.9 South Carolina 16.9 Iowa 31.9 South Dakota 30.1 Kansas 24.9 Tennessee 21.3 Kentucky 25.9 Texas 20.1 Louisiana 21.0 Utah 30.0 Maine 31.5 Vermont 30.6 Maryland 32.7 Virginia 16.9 Massachusetts 26.6 Washington 44.5 Michigan 31.0 West Virginia 33.3 Minnesota 30.5 Wisconsin 33.0 Mississippi 18.3 Wyoming 24.1…
5. Each year for the past five years the population of a certain country has increased at a steady rate of 2.7% per year. The present population is 15. 3 million people. a) What was the population one year ago? b) What was the population five years ago?
2. The average adult spends 7 hours every night sleeping. If it is estimated that 20% of sleep is spent in deep sleep, how much time (in days) are spent in deep sleep each year?
A. By how much does the machine decrease in value (in dollars) in 1 year? B. Predict when (in years) the value of the copy machine will be zero.
21. Butterfly wings: Do larger butterflies live longer? The wingspan (in millimeters) and the lifespan in the adult state (in days) were measured for 22 species of butterfly. Following are the results. Vin 35.5 30.6 30.0 32.3 23.9 27.7 Wingspan Lifespan Wingspan Lifespan 19.8 17.3 27.5 22.4 40.7 18.3 25.9 23.1 24.0 38.8 36.5 Source: Oikos Journal of Eology 105:41--54 25.9 31.3 23.0 26.3 23.7 27.1 28.1 25.9 28.8 31.4 28.5 32.5 27.5 31.0 37.4 22.6 23.1 18.5 35.9 25,4 24.6 28.1 32.3 29.1 37.0 33.7 a. Compute the least-squares regression line for predicting lifespan (y) from wingspan (x). b. Construct a 99% confidence interval for the slope. c. Test H B =0 versus H 6 <0, Can you conclude that wingspan is useful in predicting lifespan? Use the a 0.05 level of significance. d. Do larger butterflies tend to live for a longer or shorter time than smaller butterflies! Explain,
2. A study was conducted to determine the relationship between a person’s monthly income in Omani Rials and the number of meals that person eats away from home per month. The data are shown below.
The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of dollars, to a certain company for a given employee turnover percentage in a year.
An Associated Press story in Easton, Maryland’s The Star Democrat on June 3, 2010 reported thatAll told, scam artists are believed to have stolen about $47 billion from Medicare in the 2009 fiscal year, nearly triple the toll a year earlier. Medicare spokesman Peter Ashkanaz said that…charges have been filed against 103 defendants in cases involving more than $100 million in Medicare fraud.(a) What percentage of the Medicare fraud has been targeted by filed charges?(b) What is the average claim in each fraud charge?(c) How many of these average size claims would need to be filed to recover the entire $47 billion?

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