A scuba tank has a volume of 2000 cm3 . For very deep dives, the tank is filled with 50% (by volume) pure oxygen and 50% pure helium.

a.) How many molecules are there of each type in the tank if it is filled at 25 ∘C to a gauge pressure of 19 atm ?

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

b.) What is the ratio of the average kinetic energies of the two types of molecule?

c.) What is the ratio of the rms speeds of the two types of molecule?

1. Meat, eggs, and dairy are good sources of protein. When you eat these foods, proteins are digested and absorbed. Follow a protein through the digestion process from the mouth through to the intestines. What enzymes are involved in its digestion? What is the smallest unit that proteins are broken down into? Where are these products absorbed?

2. What are a few things proteins are used for in the body once they’ve been absorbed?

3. Once in the body, amino acids are absorbed by our cells and enter the amino acid pool. From here, a cell will draw from the pool to assemble the proteins it needs at that specific time. What will happen if one or more of the essential amino acids are missing?

4. Describe (in your own words) the four structural levels of a protein.

5. What is the relationship between a protein’s structure and its function? Explain how amino acids side chains impact protein structure and function.

6. DNA guides protein assembly. When there is a mutation in our DNA, the impact on the protein can vary. Explain why some mutations can cause no change to the protein and some can completely disrupt the function of the protein.

7. Your body prefers not to use proteins for energy, but it will as a last resort. Explain how amino acids are broken down to generate ATP in this scenario.

8. What happens to the nitrogen portion of the amino acid?

9. Your doctor measures your nitrogen balance and finds it is negative. What does this mean about how your body is using protein? How can you balance out your nitrogen levels?

10. If you decided to become a vegetarian or vegan, how would you ensure you were eating adequate protein? Think about not just the amount, but also the essential amino acids.

11. The RDA for protein is listed below. Calculate your own personal protein requirements and show your work for full credit. You will need to convert your weight to kg. There are 2.2 lbs in 1 kg.

Ex: a 50 kg adult would need 50 kg*0.8 g/kg = 40 g protein per day

A firm has a single-channel service station with the following empirical data available to its management.
i) The mean arround rate is 6.2 minutes
ii) The mean service time is 5.5 minutes
iii) The arrival and service time probability distributions are as follows:

Arrivals ( Minutes)         Probability              Service Time (Minutes)                Probability
3-4                                  .05                           3-4                                          .10
4-5                                  .20                           4-5                                          .20
5-6                                  .35                           5-6                                          .40
6-7                                  .25                           6-7                                          .20
7-8                                  .10                           7-8                                          .10
8-9                                  .05                           8-9                                          .00
Total                               1.00    1.00          

The queuing process begins at 10:00 am proceeds for nearly 2 hours. An arrival goes to the service facility immediately; if it is empty otherwise it will wait in a queue. The queue. The queue discipline is first come first served. If the attendant's wages are K10,000 per hour and the customer's waiting time cost K11,000 per hour, would it be an economical proposition to engage second attendant?                                                           

Table 7.14:Fifty years survival for men after graduation from the University of Adelaide

                                                                           Faculty

Table 7.15 Fifty years survival for women after graduation from the University of Adelaide

                                                                        Faculty

Tables 7.14 and 7.15 show the survival 50 years after graduation of men and women who graduated each year from 1938 to 1947 from various faculties of the University of Adelaide (data complied by J.A Keats).The columns labelled S contain the number of graduates who survived and the columns labelled T contain the total number of graduates.They were insufficient women graduates from the faculties of Medicine and Engineering to warrant analysis.

a) Are the proportions of graduates who survived for 50 years after graduation the same all years of graduation?

b) Are the proportions of male graduates who survived for 50 years after graduation the same for all faculties?

c) Are the proportions of female graduates who survived for 50 years after graduation the same for arts and science?

d) Is the differences between men and women in the proportion of graduate who survived for 50 years after graduation the same for arts and science?

Using the Weighted Average Method of process costing, what is the dollar value of inventory transferred out of the department?

Please round rates to $0.01 and inventory amounts to $1.

COLLAPSE The student governing board at Milton University consists of 7 members: Andy, Bill, Cathy, David, Evelyn, Frank, Gina. List and count the different ways of electing each of the following:

· A president and a secretary if one person can hold both offices

· A president and a secretary if the president must be a female

· A president and a secretary if the two officers must not be the same sex

· A president, a secretary, and a treasurer

· A president, a secretary, and a treasurer, if the president must be a man and the other two must be women

· A president, a secretary, and a treasurer, if the secretary must be a woman and the other two must be men

Please explain your answers and show all the work.

Use the data to calculate the sample variance, s². (Round your answer to five decimal places.)

n = 7:

1.5, 3.4, 1.9, 1.9, 3.2, 2.9, 3.0

s² =

Construct a 95% confidence interval for the population variance, σ². (Round your answers to two decimal places.)

? to ?

Test H₀: σ² = 0.8 versus H_a: σ² ≠ 0.8 using α = 0.05.

State the test statistic. (Round your answer to two decimal places.)

χ² =

State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to two decimal places.)

1.13. Problem. (Section 3.4) Three black boxes are labeled with Roman numerals I, II and III. • Box I contains four red chips and three blue chips. • Box II contains two red chips and five blue chips. • Box III contains seven red chips and no blue chips. Solve each of the following problems.

(a) Suppose a box is selected at random and three chips are drawn at random from the box. If all three chips are red, what is the probability they were drawn from Box I?

(b) Suppose one chip is selected at random from each box. If two of the three chips drawn are red chips, what is the probability that the chip drawn from Box II was red?

(c) Suppose three chips are randomly selected from Box I and placed in Box III. If a chip subsequently drawn randomly from Box III is blue, what is the probability that all three chips moved from Box I to Box III were blue.

Goodyear Commercial Retread facility recycles worn or damaged tires to retread two sizes of tires, medium and large, for tractor trailers. To fill one client’s order, they will use a combination of three machines to manufacture the retreads and will need to produce at least 54 medium tires and 59 large tires. In one hour, Machine I can produce 2.5 medium tires and 5 large tires, Machine II can produce 4.5 medium tires and 3 large tires, and Machine III can produce 5 medium tires and 10 large tires. The cost per hour to operate Machine I, II, and III are $8, $9, and $10, respectively. There are two combinations of using the three machines that produce the same minimum cost. What are those two combinations and what is the minimum cost?