. A post office has a machine that can sort letters by zip code much more quickly than a human. The machine scans the mail looking for zip codes, but is not always able to locate them. That means that every few seconds, one or more letters cannot be scanned and still need to be sorted by hand. UNITED STAT POS There is a linear relationship between the number of minutes that the machine is working (x) and the typical number of letters that cannot be scanned and must be sorted by hand (y). A postal worker starts the machine at the beginning of her shift. She notices that after 15 minutes, 80 pieces of mail could not be scanned and must be hand-sorted. She notices that after 45 minutes, 170 pieces of mail could not be scanned. a. Determine the slope of this function. b. Interpret the slope using the problem context. c. Determine a function equation. d. What is the y-intercept of the function?

. A post office has a machine that can sort letters by zip code much more quickly than a human. The machine scans the mail looking for zip codes, but is not always able to locate them. That means that every few seconds, one or more letters cannot be scanned and still need to be sorted by hand. UNITED STAT POS There is a linear relationship between the number of minutes that the machine is working (x) and the typical number of letters that cannot be scanned and must be sorted by hand (y). A postal worker starts the machine at the beginning of her shift. She notices that after 15 minutes, 80 pieces of mail could not be scanned and must be hand-sorted. She notices that after 45 minutes, 170 pieces of mail could not be scanned. a. Determine the slope of this function. b. Interpret the slope using the problem context. c. Determine a function equation. d. What is the y-intercept of the function?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

An online clothing company is keeping track of their customers purchases. Company also offers a credit card where customers get additional offers if they use that card when they make purchases from their online store. For those customers who has their credit card, the company has additional information such as age, yearly income, etc. The company management is interested in looking at the relationship between the income (in 1000s of dollars) and the total yearly purchases from their store for these credit card holders . They have gathered this information from a random sample of 42 credit card holders. Below provided is a partial MINITAB output for predicting the yearly purchases from the income. Identify the response and the predictor variable in this study. Write the equation of the least squares regression line for predicting the total yearly purchase from the income of the customer. What percentage of variation in total yearly purchase is explained by income of the customer?…
The file Galton on D2L contains the 928 observations Francis Galton used in 1885 to estimate the relationship between the heights of parents and the heights of their children. The column Children refers to the height (in inches) of a child, and the column Mid-Parents refers to the average height (in inches) of the mother and father of that child. You can download this file into Excel and Minitab. a. Calculate the regression Height of Children = a +b (Height of Mid-Parents). b. Calculate the average for Height of Children, and calculate the average Height of Mid-Parents. c. Create a new variable in Minitab which is the Height of Children measured in terms of deviations from its mean. Call this new variable y. Also, create a new variable in Minitab with is the Height of Mid-Parents measured in terms of deviations from its mean. Call this new variable x. Calculate the regression y = a + bx. You can create the new y and x variables in Excel of Minitab, whichever you find more convenient.…
Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for last year's graduates. Size of donation Proportion of calls 0.40 $0 0.30 0.25 Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who were contacted but declined to make a donation and for those who were not reached in three attempts. Consider the variable x = amount of donation for a person selected at random from the population of last year's graduates of this university. (a) Write a few sentences describing what donation amounts you would expect to see if the value of x was observed for each of 1,000 graduates. to donate $25, and roughly $10 $25 $50 (c) What is P(x ≥ 25)? You would expect roughly of the graduates to donate nothing, roughly frequencies would be close to, but not exactly, these values. The four frequencies would add to (d) What is P(x > 0)? 0.05 (b) What is the most…
A group of migraine headache sufferers were tracked over their lifetimes with data taken every 10 years. The scatter plot shows the number of headaches per year versus age, in years. How would you estimate the number of headaches at age 100? Question 2 options: Draw a line of best fit and interpolate. Wait until a sufficient number of subjects have reached the age of 100. Draw a line of best fit and extrapolate. Use the number from age 80 and divide by 2.
The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x1, the number of days in the month x2, the average product purity x3, and the tons of product produced x4. The past year's historical data are available and are presented in the following table. 240 25 24 91 100 236 31 21 90 95 290 45 24 88 110 274 60 25 87 88 25 26 25 301 65 91 94 316 72 94 99 300 80 87 97 84 75 296 25 86 96 267 24 88 110 276 60 25 91 105 288 50 38 25 23 90 100 261 89 98 If y= ao+a1X1 +a2x2+Q3X3+Q4X4 represents the regression model. What is the value of a2? Use 2 decimal places.
You were asked to help with an analysis of birth weights (BW) of 10,000 infants born in NYC during a certain period of time. The aim of the analysis is to see whether the birth weights of the infants are associated with mothers’ AGE at birth (continuous variable in years), mothers’ current HOUSING status (“own” and “not-own”; “own” is the reference group), and NYC boroughs (the BOROUGH variable contains 5 categories “Manhattan”, “Bronx”, “Brooklyn”, “Queens” and “Staten Island”; “Manhattan” is the reference group). Write down the population model that estimates the effect of mother’s AGE on BW while adjusting for mother’s current HOUSING status. If you use dummy or binary variables, specify what they mean. Write down the population model that estimates the effect of mother’s AGE on BW while adjusting for mother’s current HOUSING status and BOROUGH. If you use dummy or binary variables, specify what they mean. Write down the population model that estimates the effect of mother’s AGE…
Shelia’s doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 136 milligrams per deciliter (mg/dl) one hour after ingesting a sugary drink. Shelia’s measured glucose level one hour after the sugary drink varies according to the Normal distribution with μ = 125 mg/dl and σ = 11 mg/dl. a)What are the mean and standard deviation of the distribution of sample proportion if measurements are made instead on 40 separate days? b)If measurements are made on 40 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having gestational diabetes? c)Let’s consider what could happen if we took 40 separate measurements from Shelia. What is the blood glucose level L such that the probability…
Please help with this problem. Can you please explain using a calculator. Thank you.
If the data points do not lie in a straight line, there is no relationship between the variables True False
please answer correctly:
This value represents how much a change in one variable can be predicted from its relationship witha completely different variable .......
A researcher found that counties with a high rate of passport ownership also have low rates of obesity, and counties with low rates of passport ownership have high rates of obesity. This is an example of what kind of relationship? Positive Negative Spurious Intervening