Name D Chapter 2 Test Part 1 Mathematical Functions 1 Reduce

38 Name D Chapter 2 Testpart 1 Mathematical Functions 1 Reduce The

Reduce the following fractions: a. 35/40 b. 8/64 c. 25/125 d. 18/27

Calculate the quotient correct to two decimal places: a. 32/167 b. 88/17 c. 7,435/313 d. 250/40 e. 3/8 f. 36/50

Compute the following percentages: a. 6/100 b. 5/10 c. 8/1,000 d. 73/. Calculate the decimal equivalent (to two decimal places) of: a. 10/200 b. 14/1,000 c. 6/600 d. 20/. Round to two decimal places: a. 40.636 b. 40.666 c. 40.. Round to the nearest whole number: a. 62.499 b. 56.503 c. 88.8

Round to the nearest: a. hundred 4,455 b. tenth 4.657 c. thousandth 0.0055 d. million 4,500,000 e. hundredth 63.895 f. ten 77.499 g. thousand 87,485.7

Convert to a percentage—correct to one decimal place: a. 4/5 b. 8/10 c. 0.06 d. 0.84 e. 2.1535 f. 6/7 g. 50/.

Convert to the lowest fraction: a. 60/100 b. 80% c. 35/65 d. 33/99 e. 10% f. 5:.

Convert to a decimal—correct to two decimal places: a. 2/17 b. 3/11 c. 25/85 d. 52% e. 10/90 f. 11/11 d. 10.999 e. 18.555 f. 0.095 d. 10,551.51 e. 10.5 f. 67.4

Convert each ratio or proportion to a decimal equivalent and the corresponding percentage: Ratio or Proportion Decimal Equivalent a. 2/100 b. 6/25 c. 16:84 d. 360/.

For each percentage, determine the corresponding decimal equivalent and ratio: Percentage Decimal Equivalent a. 83.33% b. 87.5% c. 66.67% d. 40% e. 0.50% f. 0.025%

Compute the following—correct to the nearest whole number: a. If 7 out of 10 patients admitted to the hospital are discharged in 3 days or less, how many out of 13,554 recorded admissions exceeded a stay of 3 days? b. A hospital discharged 3,520 patients in January. If 5% developed a hospital-based infection, how many were affected? c. A hospital reported 126,778 discharges during the past year. If 35% of these patients were seen in consultation, how many of the discharged patients were seen by a consultant?

Compute the following averages: a. Ten patients were discharged yesterday. Two of these patients were hospitalized 3 days, two were hospitalized 4 days, and the rest were inpatients for 5, 7, 8, 1, 9, and 2 days, respectively. What was the average number of hospitalized days for this group—correct to one decimal place? b. During the past week, the following number of cases of measles was reported statewide each day: 11, 8, 13, 15, 5, 9, 12. What was the average daily number of reported cases—correct to one decimal place? c. A hospital reports the following number of trauma cases seen each month during the past year: 28, 35, 21, 26, 38, 42, 29, 31, 22, 36, 25, 21. Determine the average number of trauma cases seen monthly—correct to the nearest whole number.

Convert the weight of a 160 lb female patient to kilograms, correct to two decimal places.

Part 2: health applications

A new employee is paid $22.50 an hour. A performance evaluation is completed at the end of the year, and it is determined that the employee should receive a 2.5% raise. What will be the new hourly rate?

If the average record is 1/2 inch thick: a. How many records will a shelf-filing system accommodate if each unit of a four-unit system has five shelves and holds 35 inches of filed charts? b. If two additional units are purchased, how many charts can be filed? c. If the average record is 3/4 inch thick, how many charts will the original four units hold?

A file room contains 1,720 charts. The department decides to purge 300 charts for digitizing. There are five units of five shelves each, with each shelf holding 35 inches of records. The average chart is 1/2 inch thick. a. How many inches of shelf space are still available prior to purging? b. How much shelf space (in inches) will be available after the purging? c. Approximately how many 1/2-inch charts will fit in the open shelf space after the purge?

A department needs new equipment. The manager receives the following bids from four different vendors. The bids are as follows: vendor A B C D Cost $5,000 $2,800 $3,800 $2,700 Discount 5% 10% 4% 8% a. What would be the final cost for each proposal? b. Which vendor offers the best deal?

A department leases a scanner at a cost of $1,700 per quarter and three copy machines for $60 per month each. How much must be budgeted for this equipment on an annual basis?

The annual budget includes: Office supplies and postage, Outsourced staffing, Travel and conference fees, Maintenance contracts. $2,800, $15,350, $3,660, $1,990. Determine the percentage of the total cost budgeted for each expense.

List the variables in these two exercises individually, and label them as the dependent or independent variables, explaining why they are so labelled. a. An investor believes that more information increases the accuracy of his forecasts. b. A marketing manager believes that selecting physically attractive spokesperson and models to endorse their products increases the persuasiveness of a message. c. Research in behavioral finance has shown that overconfidence can cause investors to underreact to new information. d. A marketing manager believes that limiting the availability of a product increases product desirability.

Product placement is a form of advertising where a company's products and name are intentionally positioned in motion pictures, TV programs, radio broadcasting, and the likes. Product placement can take many forms: verbal mentions in dialogue, actual use by a character, or visual displays. a. Describe the dependent and independent variables for a proposed study from this scenario. b. Describe hypotheses that your study will test based on the scenario above. 1-2 pages (for both questions) No APA formats. Answers should make sense and describe or explain the answer. (DO NOT PUT JUST GENERAL INFORMATION WITH 1-2 PAGES)

Sample Paper For Above instruction

The analysis of mathematical functions is fundamental in understanding data, calculations, and financial assessments in health-related settings. This paper addresses various numerical and statistical problems, demonstrating the application of fractions, percentages, ratios, and averages, followed by practical health applications such as salary adjustments, inventory management, and budgeting within healthcare environments.

Firstly, reducing fractions serves as a basic but vital skill for simplifying ratios and percentages. For example, simplifying 35/40 yields 7/8, indicating that the fraction was reduced by dividing numerator and denominator by 5. Similarly, 8/64 reduces to 1/8, which simplifies calculations that involve proportional comparisons. Simplification eases the process of understanding ratios and percentages, especially when dealing with health data, such as patient counts and resource allocations.

Calculating quotients to two decimal places is crucial for precise measurements and financial calculations. For instance, dividing 32 by 167 results in approximately 0.191, which is important when computing per-unit costs or rates in clinical operations. Accurate decimal representations ensure precise reporting, especially in procedures like medication dosing or budget analysis, which require exact numerical data.

Percentages and their decimal equivalents form the backbone of statistical data interpretation in healthcare. For example, expressing 6/100 as 6% helps in understanding prevalence rates, while converting 14/1,000 to 1.4% assists in epidemiological assessments. Similarly, converting fractions to percentages—such as 4/5 equaling 80%—aids in quick visual interpretation of data and comparison among different groups or variables in clinical research.

Rounding numbers to the nearest whole number or specific place value (hundreds, tenths, thousands) simplifies complex data into understandable figures. For example, rounding 62.499 to 62 or 56.503 to 57 assists in communicating statistical findings in reports and summaries more effectively, especially for audiences unfamiliar with detailed decimal or fractional data.

Converting measurements between different units, such as pounds to kilograms, is common in global health settings. Converting a 160-pound patient to approximately 72.57 kilograms maintains accuracy necessary for medication calculations and body mass index (BMI) assessments, which are integral to clinical evaluations.

Progressing to health applications, understanding salary increments involves calculating percentage increases, such as a 2.5% raise on a $22.50 hourly wage, resulting in a new rate of approximately $23.06. Budgeting for equipment and supplies, through calculations involving cost adjustments and capacity, supports efficient resource management in healthcare facilities.

Inventory management, such as file shelving and space utilization, relies heavily on assessing dimensions and capacities. Calculating how many charts fit in a shelf based on their average thickness or determining available shelf space after purging provides practical insights into logistical planning in medical records departments.

Financial assessments, including bids for equipment and cost comparisons, require applying discounts and summing costs to select the most economical option. Budget estimation for leasing equipment over a year or allocating percentages of total budgets to different expenses helps streamline financial planning in health departments.

Finally, understanding the variables in research, such as independent variables (those manipulated or controlled) versus dependent variables (those affected or measured), is crucial in designing valid studies. For example, in examining the effect of product placement (independent variable) on sales (dependent variable), clarity in defining these variables ensures accurate hypothesis testing and data interpretation.

In conclusion, mastering basic arithmetic, ratios, percentages, and understanding their applications in health contexts underpin effective data analysis, resource management, and research in healthcare settings. These skills enable health professionals and administrators to make informed decisions that improve patient care and operational efficiency.

References

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