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Mathematical Methods in the Physical Sciences
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- 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2arrow_forwardRepeat Example 5 when microphone A receives the sound 4 seconds before microphone B.arrow_forwardO IV. None of these QUESTION 2 Question 11. (HEALTH IS WEALTH) A health conscious squirrel joined a gymnasium to run a treadmill in the month of April. At the end of the month, she noted the average mileages for a random sample of seven days is: x = 4.5 miles. She is worried to know how many miles should she run today so that her average mileage for 8 days becomes 5 miles. QUESTION 3 Question 8arrow_forward
- hello! I need help with this problem. Thank you very much!arrow_forwardPlz help asap t5.arrow_forwardA certain virus affects 0.4% of the population. A test used to detect the virus in a person is positive 90% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus Total Positive Test Negative Test Total 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %arrow_forward
- A poll found that 15% of adults do not work at all while on summer vacation. In a random sample of 8 adults, let x represent the number who do not work during summer vacation. Complete parts a through e.arrow_forwardA delivery service places packages into large containers before flying themacross the country. These filled containers vary greatly in their weight. Suppose the delivery service’s airplanes always transport two such containers on each flight. The two containers are chosen so their combined weight is close to, but does not exceed, a specified weight limit. A random sample of flights with these containers is taken, and the weight of each of the two containers on each selected flight is recorded. The weights of the two containers on the same flight (a) will have a correlation of 0(b) will have a negative correlation(c) will have a positive correlation that is less than 1(d) will have a correlation of 1arrow_forwardQw.30.arrow_forward
- Consider the following population model for household consumption: cons=a + B₁-inc + B₂ educ+B3 - hhsize+u, where cons is consumption, inc is income, educ is the education level of household head, hhsize is the size of a household. 3. Suppose that the variable for consumption is measured with error, so conss = cons + e, where conss is the mismeaured variable, cons is the true variable, e is random, i.e., e is independent of all the regressors. We would expect that: OA. both B and C OB. OLS estimators for the coefficients will all be unbiased. OC. all the standard errors will be bigger than they would be without the measurement error OD. OLS estimators for the coefficients will all be biased.arrow_forwardUse the following for questions 4, 5 and 6. A nutritionist in the FDA wants to compare the caloric content of medium french fries sold by Wendonald (Population 1) and McKing (Population 2) fast-food chains, to see if there is any difference between them. To test this, random samples from each chain is taken and the caloric contents of french fries are measured. Their finding is summarized in the table below. Wendonald McKing n1 = 40 *1 = 380 calories n2 = 50 %3D 360 calories s1 = 30 calories S2 38 caloriesarrow_forwardAnswer parts A through C only, please. Please SHOW ALL WORK and ensure the ANSWER is CORRECT. Thank you!arrow_forward
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