EXAMPLE 5 a Mixtures and ConcentrationA manufacturer of soft drinks advertises their orange soda as "naturally flavored,"although it contains only 5% orange juice. A new federal regulation stipulates that tobe called "natural," a drink must contain at least 10% fruit juice. How much pureorange juice must this manufacturer add to 900 gal of orange soda to conform to thenew regulation?

The equation is statement it contains equal to symbol between two algebraic expressions that have…

Answered: EXAMPLE 5 a Mixtures and Concentration…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter1: Variables, Expressions, And Integers

Section1.5: Adding Integers

Problem 45E

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.
2. The amount of protein in the bloodstream (mg/L) is given below for 30 patients: 2.0 2.5 1.4 1.8 1.8 1.9 2.7 2.9 3.3 3.8 4.3 4.8 4.9 5.1 5.8 5.9 6.8 6.8 7.0 7.2 7.7 8.0 8.0 8.7 11.0 11.1 12.0 12.1 12.3 12.3 b) Create a stem-and-leaf plot for the above given data:
Nocaf Drinks , Inc. a producer of decaffeinated coffee, bottles Nocaf. Each bottle should have a net weight of 4 ounces. The machine that fills the bottles with coffee is new, and the operations manager wants to make sure that it is properly adjusted. The manufacturer of the machine has stated that the process average should be 4.05 ounces and that the average range should be 0.31 when the machine is properly adjusted. The operations manager take a sample of 8 bottles and records the average and range in ounces for each sample. The data for the first eight samples is in the following table :Sample number Sample Range Sample Average1 0.41 4.002 0.55 4.163 0.44 3.994 0.48 4.005 0.56 4.176 0.62 3.937 0.54 3.988 0.44 4.01Develop the mean and range control charts. Is the machine properly adjusted and in control ?. State your reasons
A sample of ore is found to be 0.0022% gold and 0.059% silver. What is the percentage of matter in the ore that is neither gold or silver?
A firm works on the activity "delivery of packets to customers". The following information is given. Total Number Weight of all packets Volume Business year activity cost of all packets of all packets 2019 123,411 € 8,430 68,470 kg 4,000 m? 2020 135,800 € 9,000 70,000 kg 4,400 m3 The firm's managers are surprised, as the activity cost increased by 10%, while the number of packets increased by only 7%. a) What might, in this case, be the main cost driver for the increase in activity cost? Please give a reason for your answer. b) Based on your answer to question a, what is the corresponding activity-cost rate?
2.) A new building has used 18 tons of cement and is only 30% built. At this rate, how many tons of cement will the building use when the building is completed? y bio
3. The operations division manager of a logistics company is trying to identify whether the use of nitrogen to fill tires instead of normal air improves fuel economy. The tires of 12 trucks were filled with nitrogen and tested over a prescribed course. Without changing drivers, the tires of the same trucks were then filled with normal air and driven once again over the test course. The mileage was recorded as follows: Mileage (in kilometers/liter) Using Nitrogen Using Normal Air 5.1 Truck 4.9 2. 4.8 4.8 5.4 5.2 4 4.7 4.8 5.3 5.1 5.6 5,4 4,6 6 4.8 4.9 4.8 9. 5.0 5.1 10 4.5 4.2 11 5.6 5.5 12 5.1 5.0 a. Test whether using nitrogen instead of normal air improves fuel econamy (increases the mileage) at 0.05 level of significance. b. Find a 95% confidence interval of the difference between the mean of mileage of trucks whose tires is filled with nitrogen and the mileage of trucks filled whose tires is filled with normal air. interpret.
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3. Consider a gas in a piston-cylinder device in which the temperature is held constant. As the volume of the device was changed, the pressure was meas- ured. The volume and pressure values are reported in the following table: Volume, m Pressure, kPa, when I = 300 K 1 2494 2 1247 3 831 4. 623 5 499 416 (a) Usc lincar interpolation to cstimate the pressure when the volume is 3.8 m. (b) Usc cubic spline interpolation to estimate the pressurc when the vol umc is 3.8 m'. (c) Usc lincar interpolation to cstimate the volume if the pressure is meas- urcd to be 1000 kPa. (d) Usc cubic spline interpolation to estimate the volume if the pressure is mcasured to be 1000 kPa.
4.- The department of the environment carried out a study in one of the towns, on the amount of daily rain and the amount of pollution eliminated from the air due to the effects of rain, obtaining the following data: Cantidad de partículas eliminadas, y (ug/m3) Cantidad de lluvia diaria, x (0.01 cm) 4.3 126 4.5 121 5.9 116 5.6 118 6.1 114 5.2 118 3.8 132 2.1 141 7.5 108 a) Calculate the equation of the regression line to predict the particulates removed from the daily precipitation amount. b) Estimate the amount of particles removed if the daily precipitation (amount of rain) is 4.1 units. c) Evaluate the error sum of squares. d) Evaluate the mean square error. e) Construct a 90% confidence interval for B0. f) Construct a 90% confidence interval for B1.
7. In the manufacturing of a chemical adhesive, 3% of all batches have raw materials from two different lots. This occurs when holding tanks are replenished and the remaining portion of a lot is insufficient to fill the tanks. Only 5% of batches with material from a single lot require reprocessing. However, the viscosity of batches consisting of two or more lots of material is more difficult to control, and 40% of such batches require additional processing to achieve the required viscosity. Let A denote the event that a batch is formed from two different lots, and let B denote the event that a lot requires additional processing. Determine the following probabilities: а. Р(А) b. P(A') c. P(B|A) d. P(B|A') e. P(ANB) f. P(ANB') д. P(B)
6. Setup: JP was curious about the sodium content of organic cornflakes. To investigate this, twenty 300-gram boxes of organic cornflakes were obtained and the sodium content was measured. The data (in milligrams) are as follows: 131.1, 130.7, 130.9, 129.5, 129.6, 128.8, 130.7, 128.3, 128.2, 129.7, 130.1, 129.3, 128.7, 129.0, 129.4, 130.4, 129.5, 130.1, 129.8, 130.0 Task: Perform a hypothesis test using R to determine if you can support a claim that the mean sodium content of this brand of cornflakes differs from 130 milligrams? Use a = 0.08 to make your decision. R Output: Upon running your analysis in R, you obtain the following results: One Sample t-test data: corn = 0.1121 t = -1.6659, df = alternative hypothesis: true mean is not equal to 130 19, р-value 92 percent confidence interval: 129.3458 130.0342 sample estimates: mean of x 129.69 Questions: (a) State the hypotheses used in performing this test. (b) Using the output above, state the decision (Reject or Not Reject Ho) of the…

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