Give me two examples with solutions of each types of discontinuities
(b) Patients arrive at a hospital accident and emergency department at random at a rate of 6 per
hour. Find the probability that, during any 90 min. period, the number of patients arriving at the
hospital accident and emergency department is (i) exactly 7 (ii) A patient arrived at 11:30 a.m.,
then find probability that the next patient arrives before 11:45 a.m.
A car starts to move at rest. It travels first 10 seconds with a constant acceleration of 2ms^-2 and the next one minute with the obtained constant velocity. During the final 30 seconds, it decelerates with a constant rate and comes to rest. Find the average velocity of the car.
A 5kg weight whose motion is constrained by vertically guides is dropped from rest 0.5m onto vertically aligned spring whose stiffness is 10kNm-¹. how fast is the weight travelling when the spring has been compressed by 50mm?
A basket contains 8 ripe and 6 unripe bananas. If three bananas are taken from the basket one after the other. Construct a table that shows all the possible outcomes of the random experiment and all the values of the random variable R representing the number of ripe bananas.
Construct and implement Sub procedure and Function procedure for the following
problems:
1. Computation of the gross salary, tax deductions, total deductions and net salary of the
employee based on the following specifications. If employee is the manager, his or her
salary is 45,000. If the employee is regular or permanent his/her salary is 25,000 and
if the employee is contract of service, his/her salary is 15,000. If the employee’s gross
salary is 20,000 and above, then his /her gross salary is taxable to 2%. Otherwise, no
tax is deducted. Assume the monthly deductions for Philhealth=500.00, SSS=1000.00,
Pag-Ibig=1000.00 and monthly contribution=500.00. To compute for the total
deductions, add Philhealth, SSS, Pag-ibig, monthly contribution and the tax
deduction. To get the net salary, gross salary minus total deductions.
2. Determine the minimum and maximum numbers of 3 numbers.
Answer the following question based on your observations.
1. How will you describe the solubility of pure liquid materials on your set up 1 as represented by water as solvent and alcohol as solute?
2. Is there a strong force of interaction between the pure liquids? Why?
3. When you add a small amount of solute into a solvent in your set-up 2, what happen?
4. Will it have the same result uf you are going to use greater amount of salt? why?
5. How will you describe the forces of attraction between solid solute and liquid solvent?
6. How will you differentiate the results of set- up 3 and set-up 4?
7. Is there a difference in forces of interaction?
Madison Inc. has bought 51 000 USD worth of calculators (inventory) on account for resale in the local market. Freight expenses were 2 000 USD. Payment terms was 4/10 n/40. The company had 3 000 USD allowances because some calculators were broken while shipping to the company. The company paid for the inventory on the 5th day of the contract (within the discount period). Considering this information alone calculate the balance in the inventory account for this transaction and show your work.
A cube of mass 10kg is at rest on a horizontal surface when it is subjected to a horizontal for P that varies with time t as P=20t. If the static and kinetic coefficients of friction are both 0.4, calculate the velocity of the cube after 5s.
A block is given an initial velocity of 5.00 m/s up a frictionless 20.0° incline. How far up the incline does the block slide before coming to rest?