1. Watch the TED Talk by Bashar Wali, president of Provenance Hotel Group. Do you agree or disagree with what he discussed in his talk? Share your overall impressions and thoughts about what he had to share. Your response should be at least one full paragraph.

According to a research​ institution, the average hotel price in a certain year was ​$99.07. Assume the population standard deviation is ​$20.00 and that a random sample of 31 hotels was selected. Complete part d below.

d. What is the probability that the sample mean will be between ​$97 and ​$99​? _______​(Round to four decimal places as​ needed.)

Question D2

A wedding banquet is going to be held next week in a hotel. To have better preparation for this wedding banquet, the event department will hold a meeting tomorrow. Identify who should join this meeting. Regarding to EACH identified participant, illustrate ONE information from the banquet event order that they concern.

Mount Alberta in Jasper National Park, Alberta, has an elevation of 3620 m above sea level. Determine the atmospheric pressure at the top of Mount Alberta, assuming a sea level pressure of 101 kPa and a temperature of 12°C. (Consider that the average molar mass of air is 29 g/mol.)

Have you ever ridden a free-fall ride at an amusement park, where the riders are suspended at a terrifying height and then plummet towards the ground in free fall? These rides use a Lenz’s law mechanism to slow the drop. Explain how Lenz’s law applies to this situation and why this mechanism is ideal for such an application.

2. According to Newton’s Law of Cooling, the rate of change of the temperature of an object can be modeled using the following differential equation:

dT/dt = k(T-T_R)

where T is the temperature of the object (in ◦F), TR is the room temperature (in ◦F), and κ is the constant of proportionality.
On a crime show, the detective discovers a dead body in a hotel room.
(a) Write the differential equation to describe the change in temperature of the body if κ = −0.405 and thermostat in the hotel room is set at 70◦F.
(b) Solve the differential equation using an appropriate method. State the method you used and show your work.
(c) Assuming the victim was a healthy 98.6◦F at the time of the murder, we have the initial condition that T(0) = 98.6. Find the particular solution to the IVP.
(d) If the body temperature is 85◦F when the crime scene is discovered, how long has the victim been dead? (Assume t is measured in hours.)

) Braha Boda Hotel’s is a company in the hospitality industry that take care of travelers along its area of operation. The budgets for the Hotel got the year 2010 are as follows:

                                                         GHS                            GHS

Occupants Charges                                                          1,100,000

Costs:                 

Variable:

Direct supplies.                         80,000

Direct salaries                           600,000

Occupation service:

   Overheads                             65,000

   Administration.                     92,000

Fixed:

Overheads                               125,000

Administration                        140,000                         1,102,000

Loss                                                                                 (2,000)

Additional Information:

1. Number of rooms available        100 per day

2. Occupants days                         24,000 per annum

You are required to compute:

(i)   The contribution margin ratio.

(ii) The break-even point in both occupants’ days and occupants’ charges.

(iii) The margin of safety ratio if the Hotel operates at fully capacity.

(iv) The break-even points one occupants’ days of direct salary were

increased to GHS626,000.

(v) The break-even in occupants’ days if fixed occupants service overheads were increased to GHS145,000.