7. An assembly line at a plant produces exactly 10000 widgets a day. Suppose that approximately 1 out of every 2000 fails a standards test and is thrown out. What is the probability that there will be 10 or more widgets thrown out on a given day?

8. There are 100 green balloons and 150 red balloons in a bag. Suppose we extract 10 balloons from the bag. (a) What is the exact probability that five of the balloons will be green? (b) Use Binomial Approximation to find the probability that exactly five of the balloons will be green. (c) Use Binomial Approximation to find the probability that no more than four of the balloons are green

Calculate the concentration and the pH in a .10 M solution of sodium acetate, Na(CH3CO2). Equilibrium constant of acetic is 1.8*10^-5.

A wood cube of volume 0.200 cubic meters floats with 30% of its volume above fresh water. How big is the buoyant force

Answer each of the 4 essay questions. Your answers should be typed and may not exceed 2 pages (8 pages total). Be sure to thoroughly explain all concepts and theories in your responses. Correct grammar & spelling are expected.

Explain each of the factors of the Health Belief Model. Give an example of how each of the factors can affect an individual’s decision to engage in a specific health behavior.

prepare a detailed executive summary of System development life cycle to be distributed to technical and non technical members of the management team,the summary should describe the System Development Life Cycle in detail and provide critical analysis of the tool for the team.

In most elementary school classrooms there are several children who will have difficulty comprehending the grade-level social studies textbook. Teachers can help students by implementing appropriate instructional strategies. Explain what each of the following instructional approaches tries to accomplish: (a) Teaching reading strategies through reciprocal teaching, and (b) Question classification/answer verification through Question/Answer Relationship (QAR). HINT: Don’t describe a teaching sequence, explain what the approach tries to teach students to be able to do.

• Two friends are considering launching a small company, which they believe has potential to grow into a large firm in the future. Identify three (3) important factors they should take into consideration when selecting a form of ownership. Next, recommend one (1) form of ownership you believe will best serve the organization now and in the future. Justify your response.
• Identify two (2) key criteria you would use to evaluate different franchise opportunities,

Assume you are employed as a counselor at your local high school. You need to conduct a 30-minute interview with a student who has suddenly had a dramatic decline in her grades. Prior to conducting any interview, it is extremely important to plan its structure, the type of information you hope to acquire, the timing and sequencing of the interview, and the types of questions you might want to ask. To prepare for the interview, analyze the structure of the interview and present a summary including the following reasons for your choices:

State the purpose of your interview and Discuss the topics you plan to cover and the sequence in which you will cover them while addressing the questions you will use to obtain the information.

in your own words how are minorities and indigenous people similar/different with respect to issues of racism and colonialism?

Pittman Company is a small but growing manufacturer of telecommunications equipment. The company has no sales force of its own; rather, it relies completely on independent sales agents to market its products. These agents are paid a sales commission of 15% for all items sold.

Barbara Cheney, Pittman’s controller, has just prepared the company’s budgeted income statement for next year as follows:

*Primarily depreciation on storage facilities.

As Barbara handed the statement to Karl Vecci, Pittman’s president, she commented, “I went ahead and used the agents’ 15% commission rate in completing these statements, but we’ve just learned that they refuse to handle our products next year unless we increase the commission rate to 20%.”

“That’s the last straw,” Karl replied angrily. “Those agents have been demanding more and more, and this time they’ve gone too far. How can they possibly defend a 20% commission rate?”

“They claim that after paying for advertising, travel, and the other costs of promotion, there’s nothing left over for profit,” replied Barbara.

“I say it’s just plain robbery,” retorted Karl. “And I also say it’s time we dumped those guys and got our own sales force. Can you get your people to work up some cost figures for us to look at?”

“We’ve already worked them up,” said Barbara. “Several companies we know about pay a 7.5% commission to their own salespeople, along with a small salary. Of course, we would have to handle all promotion costs, too. We figure our fixed expenses would increase by $2,475,000 per year, but that would be more than offset by the $3,300,000 (20% × $16,500,000) that we would avoid on agents’ commissions.”

The breakdown of the $2,475,000 cost follows:

“Super,” replied Karl. “And I noticed that the $2,475,000 equals what we’re paying the agents under the old 15% commission rate.”

“It’s even better than that,” explained Barbara. “We can actually save $75,900 a year because that’s what we’re paying our auditors to check out the agents’ reports. So our overall administrative expenses would be less.”

“Pull all of these numbers together and we’ll show them to the executive committee tomorrow,” said Karl. “With the approval of the committee, we can move on the matter immediately.”

Required:

1. Compute Pittman Company’s break-even point in dollar sales for next year assuming:

a. The agents’ commission rate remains unchanged at 15%.

b. The agents’ commission rate is increased to 20%.

c. The company employs its own sales force.

2. Assume that Pittman Company decides to continue selling through agents and pays the 20% commission rate. Determine the dollar sales that would be required to generate the same net income as contained in the budgeted income statement for next year.

3. Determine the dollar sales at which net income would be equal regardless of whether Pittman Company sells through agents (at a 20% commission rate) or employs its own sales force.

4. Compute the degree of operating leverage that the company would expect to have at the end of next year assuming:

a. The agents’ commission rate remains unchanged at 15%.

b. The agents’ commission rate is increased to 20%.

c. The company employs its own sales force.

Use income before income taxes in your operating leverage computation.

3) A car rounds a circular curve of radius 80.0 m banked at 15⁰ to the horizontal at 30.0 m/s. What is the coefficient of friction required for the car not to skid? Some hints. first, set the x-axis as horizontal, and the y-axis as vertical (this is different than how we normally handle inclines). Second, there will be 3 forces: the normal force (with x- and y- components), the force of gravity (y-component only), and friction pointing down the slope (also with x- and y-components).

A one-story house is heated with natural gas, which gives off 3.890 107 J of energy for every cubic meter of gas burned. Take the average temperature difference between the inside and outside for the 120-day heating season to be 12

When methyl alcohol is treated with NaH, the product is CH3O -Na+ (and H2) and not Na+ -CH2OH (and H2). Explain why this is so.