i) ii) QUESTION 3 F&N Sdn. Bhd. is developing a new soft drink. The cost to produce a batch of the drink is approximated by C(u, v)=2200+27u³-72uv+8v², whee C= measured in in dollars, u = number of kilograms of sugar per batch, and v= number of grams of flavoring per batch. Find the amounts of sugar and flavoring that result in the minimum cost per batch. What is the minimum cost?
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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.Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.ment Pla x 6 0 [ Q A Player A education.wiley.com/was/ui/v2/assessment-player/index.html?launchId=51278b39-ea18-4374-abf9-4ec63a4de8eb#/question/13 Question 14 of 20 View Policies Current Attempt in Progress 2 t X WP Videoplayer A a. The initial amount is Fill in a table of values for the amount A = 70 1.051¹ for values of the time period t of 0, 1, 10, 15, and 20, and then complete the following statements. Round answers to three decimal places. 0 F2 i c. The first of the time periods in the table in which the population is at least doubled is d. The first integer time period in which the population is at least doubled is D S4 X $ 1 a F4 R חד Earth system notes #1 X M Inbox (3,313) - agyem XM Update - Kellogg's ca X % 5 16 F5 IM T G Mi 10 6 MacBook Air c F6 Y & 7 H Jud i F7 U * 8 J ] IN 15 DII F8 Attempts: 0 of 3 used Submit Answer ( 9 K 8 F9 0 -/5 = : 20 ) L VCU F10 P University Counseling X + = 0 H 111 ? Update V delete
- A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, “Participants in our program lose more than 4 pounds within a month.” Six clients of this program are weighed on the first day of the diet and then one month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. (You may find it useful to reference the appropriate table: z table or t table) (Image is table) a. Specify the null and alternative hypotheses that test the diet center’s claim. (Which is Correct) H0: μD = 4; HA: μD ≠ 4 H0: μD ≥ 4; HA: μD < 4 H0: μD ≤ 4; HA: μD > 4 b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test Statistic = c. Find the p-value. p-value < 0.01 0.05 ≤ p-value < 0.10 p-value ≥0.10 0.025≤ p-value < 0.05 0.01 ≤…Suppose that the weight of a type of organism is governed by a power law relationship with its length from snout to tail and the thickness of its central vertebrae W = cLpVq. One specimen weighed 37 kg with a length of 1.6 m and vertebral thickness 1 cm. A second specimen weighed 45 kg with a length of 1.6 m and vertebral thickness 1.3 cm. A third specimen weighed 56 kg with a length of 3.1 m and vertebral thickness 1.2 cm. Write an equation with the correct coefficient and parameters values.Can you help with parts iv, v, and vi please? The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. The paper ("Left atrial size increases with body mass index in children")[https://www.ncbi.nlm.nih.gov/pubmed/19147240] (International Journal of Cardiology [2009]) described a study in which the left atrial size was measured for a large number of children age 5 to 15 years. Based on this data, the authors concluded that for healthy children, the left atrial diameter was approximately normally distributed with a mean of 26.4 mm and a standard deviation of 4.2 mm. i) Use `plotDist` to draw the probability density function of the left atrial diameter. ii) Generate 50 sample measurements of the left atrial diameters and plot the measurements using a histogram. iii) Approximately what proportion of healthy children have left atrial diameters less than…
- Solar energy generation along highways. The potential of using solar panels constructed above national highways to generate energy was explored in the International Journal of Energy and Environmental Engineering (December 2013). Two-layer solar panels (with 1 meter separating the panels) were constructed above sections of both east-west and north-south highways in India. The amount of (kilowatt-hours) supplied to the country's grid by the solar panels above the two types of highways was determined each month. The data for several randomly selected months are provided in the table. The researchers concluded that the "two-layer solar panel energy generation is more viable for the north-south oriented highways as compared to east- west oriented roadways." Compare the mean solar energy amounts generated for the two types of highways using a 95% confidence interval. Does the interval support the re- energy searchers' conclusion? Month East-West North-South February April July September…a UCS * Dashboard * Big Ideas Math O CHEMISTRY: 6(A) | Schoology x + C A O https://www.bigideasmath.com/MRL/public/app/#/student/assessment;isPlayerWindow-true;assign.. IEST: Chapter o [rarlI- SettionIS 0.1--6.4] i CALCULATORS 2 i The amount y (in grams) of the radioactive isotope beryllium-7 remaining after t days is y= a(0.5)53, where a is the initial amount (in grams). What percent of the beryllium-7 decays each day? Round your answer to the nearest tenth of a percent. The daily decay rate is about %. 10 of 11 ans PREV 3. 4. NEXT ... 12:19 PM P Type here to search ヴ 2/12/2021 DELL F11 PrtScr F2 F4 F5 F6 F7 F8 F9 F10 F12 Home End F3 40 F1 Insert #3 2$ & 2 4. 6. 8.1) Malaria is a disease that destroys red blood cells (the parasite invades red blood cells, multiplies, and then infects more red blood cells). In a recent study (Kotepul, et al., 2015) looking at various blood counts, the authors found the following results. Results are in billion red blood cells / cubic mm. Note that I have deliberately modified these results (do not use R): n ̄y s Low infection 527 4.16 2.23 High infection 157 4.51 2.34 Is there a difference in red blood cell count?(Hint: please think about this before you just start working on the problem!)
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