The table below shows the calories, fat, and carbohydrates per ounce for three brands of cereal, and the total amount of calories, fat, and carbohydrates required for a special diet. Calories Fat Carbohydrates Cereal Brand X 50 0 22 Cereal Brand Y 108 0.1 25.5 Cereal Brand Z 127 5.5 18 Total Required 393 5.7 91 (i) Using the information in the table above, write a system of three equations. (ii) Write a system in matrix form Ax=b (ii) Using the Cramer's Rule or Inverse

The table below shows the calories, fat, and carbohydrates per ounce for three brands of cereal, and the total amount of calories, fat, and carbohydrates required for a special diet. Calories Fat Carbohydrates Cereal Brand X 50 0 22 Cereal Brand Y 108 0.1 25.5 Cereal Brand Z 127 5.5 18 Total Required 393 5.7 91 (i) Using the information in the table above, write a system of three equations. (ii) Write a system in matrix form Ax=b (ii) Using the Cramer's Rule or Inverse

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter12: Sequences, Series And Binomial Theorem

Section12.3: Geometric Sequences And Series

Problem 12.58TI: What is the total effect on the economy of a government tax rebate of $500 to each household in...

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What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?
The demand for hand sanitizers is off the charts due to this coronavirus outbreak. People are in desperate need of hand sanitizers. Therefore, FMCGs like Unilever Bangladesh Limited are producing this life-essential product in a bulk amount to help the citizens across Bangladesh to maintain the hygiene standards. Sales figures and profits for the stores are given in the following table. (For the Unit sales, pick any value in between 12-33Units in ascending order). Unit Sales, X Profit (Taka), Y ** 1200 ** 1650 ** 1950 ** 2300 ** 2700 ** 3600 ** 4100 Obtain a regression line for the data. Calculate the profit of a shop for 40 unit sales. Calculate the correlation between unit sales and profit. What is the coefficient of determination of these variables?
To determine the effectiveness of an oil additive, a testing firm purchased two cars of the same make, year, and model, and drove each a distance of 30,000 miles using the same kind of gasoline, the same kind of oil, the same driver, under the same road conditions. The oil in one engine included the additive, whereas the oil in the other engine did not. At the end of the test, the engines of both cars were dismantled, and it was found that the engine that contained the additive had less wear. The testing firm concluded that the oil additive caused the reduced wear.
Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The manager of this plant is under pressure from a local union to increase the amount of paid time off. However, he does not want to give more days off to the workers because that would be costly. Instead he decides he should fire 10 employees in such a way as to raise the average number of days off that are reported by his employees. In order to achieve this goal, should he fire employees who have the most number of days off, least number of days off, or those who have about the average number of days off? a. He should fire employees who have the most number of days off. b. No matter who he fires, it will not increase the amount of paid time off. c. He should fire employees who have the average number of days off. d. He should fire employees who have the least number of days off.
A researcher wants to investigate claims that a new plant compound is effective in curbing appetite. She randomly assigns 22 rats to a treatment or control group (11 rats in each group). Rats in the treatment group are given the plant compound daily for a week, while rats in the control group are given a placebo. Over the course of the week, the researcher monitors the total number of calories consumed by all 22 rats. All the rats are kept separate from one another, but in their typical environments, for the duration of the week. The researcher’s null hypothesis is that the rats given the plant compound consume the same number of calories as the rats given a placebo. Since the rats in the treatment group are independent of the rats in the control group, the researcher realizes that the design of her study is an independent-measures design. The researcher knows that the total calories consumed by a rat over the course of a week are normally distributed. However, the researcher is not…
The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At α=0.005, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds ReptilesNumber of visitors 152 175 185 144 145 171 163 Step 2 of 4 : Calculate the expected value for the number of visitors for the birds exhibit. Enter your answer as a fraction or a decimal rounded to three decimal places. Step 3 of 4: Compute the value of the test statistic. Round any calculations to at least six decimals places and round your final answer to three…
An agricultural scientist tests six types of fertilizer, labeled A, B, C, D, E, and F, to determine whether any of them produces an increase in the yield of lima beans over that obtained with the current fertilizer. For fertilizer C, the increase in yield is statistically significant at the 0.05 level. For the other five, the increase is not statistically significant. The scientist concludes that the yield obtained with fertilizer C is greater than that of the current fertilizer. Explain why this conclusion is not justified.
A survey among the workers in a large manufacturing company was taken, in order to findout from which company the workers had purchased their mobile phones, and to find outwhether the choice of mobile phone company was related to the type of worker. The resultsare shown in the table below. ls there evidence, at 5% level, that the choice of Phone Company is independent of the type ofworker?
The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At α=0.025, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds Reptiles Number of visitors 164 166 172 188 165 139 142 Copy Data Step 3 of 4 : Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places.
a) A C-chart is to be constructed for the count of surface defects in 2000 square meters of 40-kg Kraft paper. If 55 lots had a total of 550 defects. Determine the trial central line and control limits.b) An (np) chart is to be established on a painting process that is in statistical control. If 60 pieces are to be inspected every 3 hours and the fraction non-conforming is 0.06, determine the central line and control limits
In recent years, a substantial amount of research has focused on a possible relationship between chemical contamination of various sorts and mental impairment in children. An article reported data on hair-lead concentration for a sample of mentally impaired children for which the cause of impairment was unknown. Sample statistics were n = 41 X Bar = 16 ppm s = 5.36 ppm The paper states that 14.27 ppm is considered the acceptable upper limit of hair-lead concentration. Let μ= the average hair-lead concentration for all mentally impaired children with the cause of impairment unknown. H0: μ = 14.27 versus H1: μ > 14.27 at 0.01 significance level Does the given sample data support the research hypothesis that true average hair concentration for all such mentally impaired children exceeds the acceptable upper limit? Assume normality. 1. reject null hypothesis 2. fail to reject null hypothesis
The table below contains the total cost ($) for four tickets to a basketball game purchased on the secondary market, two beers, two soft drinks, two hot dogs, and one parking space at each arena during a recent season. 298.97364.59427.79213.23307.54531.23297.49302.56521.19291.69366.83532.67230.38320.12507.88212.87452.34656.21245.26436.92709.57220.91485.82727.63365.07487.58788.14360.31467.92886.93 a. Organize these costs as an ordered array. b. Construct a frequency distribution and a percentage distribution for these costs. c. Around what values, if any, are at least 75% of the costs of attending the game concentrated? Explain.