In a study examining the survival of cancer patients, 100 patients were enrolled at baseline. After one year, 20 patients were known to have died. Assuming no patients were lost to follow-up, what was the probability of surviving one year? (OK to show numerator/denominator)What would be the one-year survival rate in the previous question if ten patients had been lost to follow-up during the first year? Use the life table method.

An air-track glider attached to a spring oscillates with a period of 1.50 s . At t=0s the glider is 5.30 cm left of the equilibrium position and moving to the right at 38.5 cm/s .

Part A

What is the phase constant?

Part B

What is the phase at t=.05s?

Part C

What is the phase at t=1s ?

Part D

What is the phase at t=1.5s?

A 4.0-cm-diameter parallel-plate capacitor with a 1.0 mm spacing is charged to 1000 V. A switch closes at t =0s, and the capacitor is discharged through a wire with 0.20? resistance.

Part A

Find an expression for the magnetic field strength inside the capacitor at r =1.0cm as a function of time t (where t is in ps).

Part B

Draw a graph of B versus t.

Mark Ventura has just purchased an annuity to begin payment two years from today. The annuity is for $24,000 per year and is designed to last 7 years. If the interest rate for this problem calculation is 11 percent, what is the most he should have paid for the annuity? Use Appendix B and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Maximum Payment =

Alpha Corporation has been in business for two years. It incurred the following items last year (Year 1): Gross profits on sales 240000 Operating expenses 100000 Long-term capital gain 8000 Short-term capital loss 12000 Alpha reported the following items this year (Year 2): Gross profits on sales 600,000 Operating expenses 165,000 Long term capital gain 10000 Compute Alpha’s taxable income and tax liability for Year 1 and Year 2.

An insurance company divided its clients into two categories, amateur and professional. The last year accident report shows 10% of amateur drivers and 2.5% of professional drivers are involved in an accident. If 15% of drivers are amateur license and 85% are professional, find the following probabilities. For simplicity, assume year to year accident accidents for any driver are independent.

1. a) What is the probability of accident for a driver?
2. b) What is the probability that an amateur driver is involved in at least one accident during 3 years?
3. c) What is the probability of not having an accident for a professional driver during 3 years?
4. d) The annual insurance premium is computed according to being involved to at least one accident in 3 years. If a professional driver pay $1000 premium, how much the premium of amateur drivers should be?

1. Gomez Co. had the following transactions in the last two months of its year ended December 31st Nov. 1st Paid $1,900 cash for future newspaper advertising
1st Paid $2,460 cash for 12 months of insurance through October 31st of the next year.
30th Received $3,700 cash for future services to be provided to a customer.
Dec. Ist Paid $6,000 cash for a consultant's services to be received over the next three months.
15 Received $7,950 cash for future services to be provided to a customer
31st Of the advertising paid for on November 1st, $1,500 worth is not yet used
31st A portion of the insurance paid for on November 1st has expired. No adjustment was made in November to Prepaid Insurance
31st Services worth $1,500 are not yet provided to the customer who paid on November 30.
31st One-third of the consulting services paid for on December 1st have been received.
31st The company has performed $3,400 of services that the customer paid for on December 15th.

An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 30, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects.

(b) What is the probability that at least 10 of these are from the second section? (Round your answer to four decimal places.)


(c) What is the probability that at least 10 of these are from the same section? (Round your answer to four decimal places.)


(d) What are the mean value and standard deviation of the number among these 15 that are from the second section? (Round your mean to the nearest whole number and your standard deviation to three decimal places.)

(e) What are the mean value and standard deviation of the number of projects not among these first 15 that are from the second section? (Round your mean to the nearest whole number and your standard deviation to three decimal places.)

Please answer parts B, C, D, and E