In Problems
What is the domain and the range of relation
Express the relation using mapping.
Express the relation as a set of ordered pairs.
The density of a gas under constant pressure depends on temperature. Holding pressure constant at
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Precalculus
- A bottle of medicine is to be stored at a temperature between 5 C and 10 C. What range does this correspond to on the Fahrenheit scale? Note: Fahrenheit F and Celsius C temperatures satisfy the relation C=59(F32).arrow_forwardbThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forwardMortgage Rates The following table is taken from the website of Freddie Mac. It shows rates for 30-year fixed-rate mortgages since 1970. y=Year r=Mortgagerate 1975 9.05 1980 13.74 1985 12.43 1990 10.13 1995 7.93 2000 8.05 2005 5.87 2010 4.69 2015 3.84 a. Explain in practical terms the meaning of r(2003). b. Use the table to estimate the value of r(2003).arrow_forward
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- Each row represents an experimental “run” (in this case, averaged sample of mango wine). Column A shows the run number; Column B shows the percentage of ethanol; Column C shows the amount of glycerol (in g/L); Column D shows the amount of acid (in g/L); Column E shows the temperature of the run (in °C); and Column F shows the pH of the run. Y represents Ethanol of mango wine. 1. Create a scatterplot of the ethanol data for all 20 runs a. Draw a graphical representation of the model that you chose to use. b. Comparing the model to your data, evaluate its fit in one or two sentences. (Not sure what this question is getting at. I've provided all the information given) c. Replace the generic Yi = β0 + ε with the information you have here. Please help. I have no idea what this even means or where to start. HERE is the attached dataset to start with; a b c d e f Run Ethanol Glycerol Acidity Temp pH 1 4.8 3.5 0.84 24 3.8 2 9.6…arrow_forwardNext question The following information is collected from students upon exiting the campus bookstore during the first week of classes. a. Foot length b. Number of books purchased c. Titles of books purchased d. Dorm hall of residence Classify each of these variables as categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. a. Foot length is what type of variable? Numerical, continuous Numerical, discrete Categorical b. Number of books purchased is what type of variable? Categorical Numerical, discrete Numerical, continuous c. Titles of books purchased is what type of variable? Numerical, discrete Numerical, continuous O Categorical d. Dorm hall of residence is what type of variable? Numerical, discrete Categorical Numerical, continuousarrow_forwardThe Quick Sell car dealership has been using 1-minute spot ads on a local TV station. The ads always occur during the evening hours and advertise the different models and price ranges of cars on the lot that week. During a 10-week period, the Quick Sell dealer kept a weekly record of the number x of TV ads versus the number y of cars sold. The results are given in Table below. . ( Show your work--No work no credit) x y 6 15 20 31 0 10 14 16 25 28 16 20 28 40 18 25 10 12 8 15 Draw a scatter diagram for the data ( You can copy and past this graph in your work area by using any technology). Do you see a linear relation? Compute the value of linear correlation coefficient "r". From the value of "r" can we decide the strength of the relation ( strong, moderate, or weak)? Find the equation of regression line, identify the slope and intercept. Also explain meaning of slope in the context of the problem. How many cars can the manager expect to sell if 12 ads per…arrow_forward
- Pls help. Pls do all parts pls i beg.arrow_forwardQuestion 3. A pediatrician wants to determine the relation that exists between a child's height x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the following data. (Using Excel) (Please copy the summary output of each part of your answer of Excel and then find the answer.) Height (inches),x 27.75 24.5 25.5 26 25 27.75 26.5 27 26.75 26.75 27.5 Head Circumference(inches), y 17.5 17.1 17.1 17.3 16.9 17.6 17.3 17.5 17.3 17.5 17.5 a) Find the least-squares regression line treating height as the explanatory variable and head circumferences as the response variable. b) Interpret the slope and y-intercept, if appropriate. c) Use the regression equation to predict the head circumference of a child who is 25 inches tall. d) Compute the residual based on the observed head circumference of the 25-inch-tall child in the table. Is the head circumference of this child above average or below average? e) Draw…arrow_forwardthere is a proportional relationship between the volume measured and cups and the same volume measured in tablespoons in 3 cups is equivalent to 48 tbsp as shown in the graph. A. plot and label at least two more points that represent the relationship B. Use a straight edge to draw a line that represents this proportional relationship C. for which value y is one, y on the line you just drew D. What is the constant of proportionality for this relationship F. Write an equation representing this relationship using C for cups and tea for tablespoons. help I need answers today right nowwwwarrow_forward
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