A factory ships sunglasses in boxes that each have the same number of sunglasses. The table shows the data for 4 shipments. Number of Number of Вохes Sunglasses 2 50 75 125 175 Which rate represents the relationship in the table? A. 225 sunglasses per 8 boxes В. 100 sunglasses per 4 boxes С. 5 sunglasses per 125 boxes D. 4 sunglasses per 100 boxes
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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- A computer manufacturer buys 30% of its chips from supplier A and the rest from supplier B. Two percent of the chips from supplier A are defective, as are 4% of the chips from supplier B. Approximately what percentage of the defective chips are from supplier B?In comparing the average protein content µ1 and µ2 of two brands of dog food, a consumer testing service finds that fifty 5-pund packages of brand A dog food had an average protein content x̅1=11 ounces per package and a s.d of s1 = 1 ounce, while sixty-5 pound packages of brand B dog food has an average protein content x̅2=9ounces per package and a s.d of s2 = 0.5 ounce. A difference of 0.5 ounces is considered to be not sufficiently important to report as a consumer issue. Therefore, a decision was made to test the hypothesis.1. Are a majority of the seniors in the survey planning to attend graduate school? 2. Which undergraduate major constitutes the majority of the individuals in the survey? 3 compute the row percentages 4. Comment on the relationship between the students undergraduate major and their intention of attending gryschool
- Given are five observations for two variables, x and y. xi 5 13 7 21 19 yi 59 42 55 10 29 -select your answer- choices: a. (A, B, C, D) the different graphs are being attached b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a (positive, negative) linear relationship between x and y. c. Try to approximate the relationship between x and y by drawing a straight line through the data. (Many different straight lines can be drawn, Only one straight line can be drawn, A straight line cannot be drawn) to provide a linear approximation of the relationship between x and y. D & E questions are being attached. Thank you!23. A population of algal cells starts with 200 cells and triples every week. Data are collected for the first three months of the cell growth. When the first, second, third, and fourth differences are calculated from the data, what will be the relationship between the values in the differences columns?A baker has 28 plain bagels and 20 blueberry bagels. If 25% of the plain bagels are gluten free and 10% of the blueberry bagels are gluten-free, then what is the percentage of gluten-free bagels?
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- Textbook publishers must estimate the sales of new (first-edition) books. The records of one major publishing company indicate that 10% of all new books sell more than projected, 30% sell close to the number projected, and 60% sell less than projected. Of those that sell more than projected, 70% are revised for a second edition, as are 50% of those that sell close to the number projected and 20% of those that sell less than projected. a. What percentage of books published by this publishing company go to a second edition? b. What percentage of books published by this publishing company that go to a second edition sold less than projected in their first edition?. What percent of the random samples from Bag 1 had between 30% and 50% red marbles? What percent of the random samples from Bag 2 had between 30% and 50% red marbles? f. What percent of the random samples from Bag 1 had between 70% and 90% red marbles? What percent of the random samples from Bag 2 had between 70% and 90% red marbles? g. Which bag is more likely to be the one with 40% red marbles and which bag is more likely to be the one with 80% red marbles? Why? h. A third bag of 50 marbles contains 50% red marbles and 50% black marbles. If students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for Bag 1 and Bag 2?An office supply company services copiers and tracks how many machines are serviced and the length of time (in minutes) for a service call. The data below for 11 clients is below. Sum X = 46 Sum Y= 234 Sum XY = 5797 Sum X2 =1180 Sum Y2 =146608 1) Calculate SSYY, SSXX, SSXY 2) Calculate b0, b1 3) Interpret the estimated slope coefficient.