## what are the variables that are measured/ recorded on each unit INVESTIGATION: DOES VITAMIN C IMPROVE

Question what are the variables that are measured/ recorded on each unit INVESTIGATION: DOES VITAMIN C IMPROVE YOUR HEALTH?In 1970 Linus Pauling, a well-known chemist and Nobel Prize winning scientist, publishedVitamin C and the Common Cold (1970), creating a great deal of public and scientific interest.In short, Pauling argued that taking Vitamin C would reduce one’s risk of the common cold.This book almost singlehandedly made Vitamin C one of the most widely used dietary supple-ments, a status it retains to this day (Nutritional Supplement Review, 2009). Subsequent to thepublishing of his book, Pauling wrote a paper that appeared in the Proceedings of the NationalAcademy of Sciences in 1971. In this paper he describes a study conducted by a physician inBasel, Switzerland, in the early 1960s.Here is an excerpt from the paper explaining the study design:Th e study was carried out in a ski resort with 279 skiers during two periods of 5-7 days. Th econditions were such that the incidence of colds during these short periods was large enough(about 20%) to permit results with statistical signifi cance to be obtained. Th e subjects wereroughly of the same age and had similar nutrition during the period of study. Th e investiga-tion was double-blind, with neither the participants nor the physicians having any knowl-edge about the distribution of the ascorbic-acid tablets (1000 mg) and the placebo tablets.Th e tablets were distributed every morning and taken by the subjects under observation,so that the possibility of interchange of tablets was eliminated. Th e subjects were examineddaily for symptoms of colds and other infections. Th e records were largely on the basis ofsubjective symptoms, partially supported by objective observations (measurement of bodytemperature, inspection of the respiratory organs, auscultation of the lungs, and so on).Persons who showed cold symptoms on the fi rst day were excluded from the investigation.After the completion of the investigation, a completely independent group of pro-fessional people was provided with the identification numbers for the ascorbic-acidtablets and placebo tablets, and this group performed the statistical evaluation of theobservations.Although not stated explicitly in the paragraph above, the participants were randomlyassigned to take ascorbic-acid tablets or the placebo.

## -A court record search of 250 incoming freshmen at a state

Question

-A court record search of 250 incoming freshmen at a state university shows that 26 had been arrested at some point for underage drinking but not drug possession, and 12 had been arrested for possession but not underage drinking. There were 202 that had been arrested for neither.a) How many of the students had been arrested drug possession?b) How many had been arrested for underage drinking?

## Can you find another mathematical contribution of Euler, other than

Question Can you find another mathematical contribution of Euler, other than his work in graph theory? Please add a link where you can back up your research or findings. I have heard of lagrange equation, but cannot find anything that really explains it. It does not have to be the lagrange equation FYI. Thanks!!!

## The expenses and income of an individual are given in table form to

Question The expenses and income of an individual are given in table form to the right. Find the net monthly cash flow (it could be positive or negative). Assume salaries and wages are after taxes. When you need to convert between weeks and months, assume that 1 month equals 4 weeks1 month=4 weeks.IncomePart-time job: $ 800 divided by month$800/monthCollege fund from grandparents: $ 500 divided by month$500/monthScholarship: $ 3600 divided by year$3600/yearExpensesRent: $ 550 divided by month$550/monthGroceries: $ 60 divided by week$60/weekTuition and fees: $ 3000$3000 twice a yearIncidentals: $ 70 divided by week$70/weekThe net monthly cash flow is $nothing.

## Consider a relatively simple health insurance plan with the following

Question Consider a relatively simple health insurance plan with the following provisions. Office visits require a co-payment of $3030. Emergency room visits have a $275275 co-payment. Surgical operations have a $1 comma 8001,800 deductible (the first $1 comma 8001,800 is paid out of pocket). The monthly premium is $370370. During a one-year period, somebody insured by this health insurance has the expenses shown to the right. Complete parts (a) and (b) below. ExpensesTotal Cost Feb. 18: Office visit$100100 Mar. 26:Emergency room$580580 Apr. 23: Office visit$100100 May 14: Surgery$7 comma 0007,000 July 1: Office visit$100100 Sept. 23: Emergency room$840840a. Determine the person’s health care expenses for the year with the insurance policy.The person’s health care expenses with the insurance policy are $nothing. e a whole number.)b. Determine the person’s health care expenses for the year without the insurance policy.The person’s health care expenses without the insurance policy are $nothing. whole number.)