A glass of skim milk supplies 0.1 mg of iron, 8.5 g of protein, and 1 g of carbohydrates. A quarter pound of lean red meat provides 3.4 mg of iron, 22 g of protein, and 20 g of carbohydrates. Two slices of whole-grain bread supply 2.2 mg of iron, 10 g of protein, and 12 g of carbohydrates. If a person on a special diet must have 24.2 mg of iron, 194 g of protein, and 140 g of carbohydrates, how many glasses of skim milk, how many quarter-pound servings of meat, and how many two-slice servings of whole-grain bread will supply this?

Cicadas are flying, plant-eating insects. One species, the 13-year cicadas (Magicicada), spends five juvenile stages in underground burrows. During the 13 years underground, the cicadas grow from approximately the size of a small ant to nearly the size of an adult cicada. The adult body weights (BW) in grams and wing lengths (WL) in millimeters are given for three different species of these 13-year cicadas in the following table. It is of interest to determine if body weight is a significant predictor of wing length for a 13-year cicada. Considering all assumptions for a parametric test are satisfied, use the obtained jamovi © outputs below to answer the following: Test whether the wing length of 13-year cicadas is linearly dependent on its body weight at 5% level of significance.

Cicadas are flying, plant-eating insects. One species, the 13-year cicadas (Magicicada), spends five juvenile stages in underground burrows. During the 13 years underground, the cicadas grow from approximately the size of a small ant to nearly the size of an adult cicada. The adult body weights (BW) in grams and wing lengths (WL) in millimeters are given for three different species of these 13-year cicadas in the following table. It is of interest to determine if body weight is a significant predictor of wing length for a 13-year cicada. Considering all assumptions for a parametric test are satisfied, use the obtained jamovi © outputs below to answer the following: Is it logical to proceed to simple linear regression? If yes, provide an estimate of the simple linear regression line. Specify which variables should be considered as the response and independent variable.

1.Dennis wants to use cottage cheese and yogurt to increase the amount of protein and calcium inhis daily diet. An ounce of cottage cheese contains 3 grams of protein and 15 milligrams ofcalcium. An ounce of yogurt contains 1 gram of protein and 41 milligrams of calcium.How many ounces of cottage cheese and yogurt should Dennis eat each day to provide exactly 62grams of protein and 760 milligrams of calcium?

Nicole started a new diet that requires each meal to have 340 calories, 6 grams of fiber, and 6 g of fat. The table shows the fiber, fat, and calorie content of one serving of each of three breakfast foods. How many servings of each food should Nicole eat to follow her diet? toast  serving(s) cottage cheese      serving(s) fruit  serving(s) Food Fiber (g) Fat (g) Calories Toast 2 1 100 Cottage cheese 0 5 120 Fruit 2 0 60

A bakery in Cape Town would like to produce a koeksister that could be marketed to consumers that are health conscious. They experimented with 4 different fats to see which fat was least absorbed by the koeksisters during the deep-frying process. Each fat was used for six batches of one dozen koeksisters each, and the table shows the grams of fat absorbed by each batch of koeksisters g Fat Absorbed in Batch Fat 1 64 72 68 77 56 95 72 13.34 Fat 2 78 91 97 82 85 77 85 7.77 Fat 3 75 93 78 71 63 76 76 9.88 Fat 4 55 66 49 64 70 68 62 8.22 S df MS F p-value Treatment 1636.5 3 545.4 5.41 0.0069 Error 2018.0 20 100.9 Total 3654.5 23 4.1 At the 0.05 level of significance, test whether the mean fat absorbed by the four different fats are significantly different. Interpret your results. (Ensure you use all the steps for your hypothesis test) 4.2 Given the table below, what can you conclude about the mean fat absorbed by the four different fats 95% Confidence Interval for x – x Fat 1- Fat 2 -13…

Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 40 grams of sulfur dioxide and 120 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 5 grams of sulfur dioxide and 40 grams of particulate matter for each gallon produced. The company makes a profit of 80¢ per gallon and 20¢ per gallon on the old and new processes, respectively. Answer parts (A) through (C) below. (A) If the government allows the plant to emit no more than 36,000 grams of sulfur dioxide and 90,000 grams of particulate matter daily, how many gallons of the chemical should be produced by each process to maximize daily profit? Wha is the maximum daily profit? Summarize the model, Maximize Objective function subject to V 36,000 Sulfur dioxide constraint V 90,000 Particulate constraint х, у 2…

1) A dairy keeps two kinds of milk on hand, skim milk that has 0.2% butterfat and whole milk that has 3.4% butter fat. How many gallons of each type of milk does a company need to produce 340 gallons of 1% milk for a grocery store?

A weight lifter wants to mix two types of protein powder. One is a whey protein and one is a soy protein. The fat, carbohydrate, and protein content (in grams) for 1 scoop of each powder is given in the table. Fat Carbohydrates Protein Whey 3 g 3 g 20 g Soy 2g 4 g 18 g Suppose that the weight lifter wants to make at most 60 scoops of a protein powder mixture. Furthermore, he wants to limit the total fat content to at most 150 g and the total carbohydrate content to at most 216 g. a. Determine the number of scoops of each type of powder that will maximize the total protein content under these constraints. b. What is the maximum total protein content? c. If the protein content were reversed between the two brands (that is, 18 g for the whey protein and 20 g for the soy protein), then how much of each type of protein powder should be used to maximize the amount of protein?

The US and China together produce 5.9 million tons of e-waste each year. About 0.7 million more tons are produced in the US than China. How many million tons of e-waste is produced in each country?