An article reported that what airline passengers like to do most on long flights is rest or sleep; in a survey of 3697 passengers, almost 80% did so. Suppose that for a particular route the actual percentage is exactly 80%, and consider randomly selecting nine passengers. Then x, the number among the selected nine who rested or slept, is a binomial random variable with n = 9 and p = 0.8. (Round your answers to four decimal places.)

(a) Calculate p(6).

b) Calculate p(9), the probability that all nine selected passengers rested or slept.
p(9) =  

(c) Determine P(x ≥ 6).

The summary of the payroll for the monthly pay period ending December 15 indicated the following:

Journalize the entries to record (a) the payroll and (b) the employer's payroll tax expense for the month. The state unemployment tax rate is 3.1%, and the federal unemployment tax rate is 0.8%. Only $30,000 of salaries are subject to unemployment taxes.

This is to be done in Excel so if your answer is similar to that format I would really appreciate it. Thanks!! :)

Results obtained from a tension test on a bar of uniform cross section 10 mm x 10 mm subjected to an axial pull of 8000 N were tabulated. The lateral dimensions of the bar were found to be changed to 9.9985 mm x 9.9985 mm while using a material having modulus of rigidity equal to 0.8 x 107 N/cm2. By determining the values for different moduli, identify the properties of material and establish the relationship between them. What changes will happen to the volume if the length of the bar is equal to 2.5 m? Based on the results obtained discuss how the elastic constants are related to the deformation of the bar?   

Results obtained from a tension test on a bar of uniform cross section 10 mm x 10 mm
subjected to an axial pull of 8000 N were tabulated. The lateral dimensions of the bar were found
to be changed to 9.9985 mm x 9.9985 mm while using a material having modulus of rigidity equal
to 0.8 x 107 N/cm2. By determining the values for different moduli, identify the properties of
material and establish the relationship between them. What changes will happen to the volume if
the length of the bar is equal to 2.5 m? Based on the results obtained discuss how the elastic
constants are related to the deformation of the bar?

Results obtained from a tension test on a bar of uniform cross section 10 mm x 10 mm subjected to an axial pull of 8000 N were tabulated. The lateral dimensions of the bar were found to be changed to 9.9985 mm x 9.9985 mm while using a material having modulus of rigidity equal to 0.8 x 107 N/cm2. By determining the values for different moduli, identify the properties of material and establish the relationship between them. What changes will happen to the volume if the length of the bar is equal to 2.5 m? Based on the results obtained discuss how the elastic constants are related to the deformation of the bar?   

Assume that GDP (Y) is 10,000. Consumption (C) is given by the equation C = 500 + 0.8(Y – T). Investment (I) is given by the equation I = 2,000 – 50r, where r is the real rate of interest in percent. Taxes (T) are 500 and government spending (G) is also 500. a. What are the equilibrium values of C, I, and r? (Show your work) (4.5 marks) b. What are the values of private saving, public saving, and national saving? (Show your work) (1.5 marks) c. If government spending rises to 1,000, what are the new equilibrium values of C, I, and r? (Show your work)

The chefs at a local pizza chain, strive to maintain the suggested size of their 16-inch pizzas. Despite their best efforts, they are unable to make every pizza exactly 16 inches in diameter. The manager has determined that the size of the pizzas is normally distributed with a mean of 16 inches and a standard deviation of 0.8 inch.

a. What are the expected value and the standard error of the sample mean derived from a random sample of 2 pizzas?

b. What are the expected value and the standard error of the sample mean derived from a random sample of 4 pizzas?

c. Compare the expected value and the standard error of the sample mean with those of an individual pizza.

SIU is a university in the UK catering for international students. There are currently 950 students. Fees were £16,000 for the last year and the president is concerned that adverse changes in the economic and educational environment are threatening the university’s future. The income of the market is expected to decline next year by 2%, and it is also expected that the average fee of competitive institutions will fall from £14,000 to £12,000. 10% of revenue is currently spent on promotion. The president does some research and estimates that the relevant demand elasticities are as follows:

PED = -1.6, YED = 2.2, AED = 1.8, CED = 0.8.

1. Briefly outline other marketing mix options for achieving the target (50 words).