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What is the probability that a market inspector will discover, at most, three violations of the public health code? (Round off your answer in the nearest hundredths if possible)

As a form of quality control, the Pancake Kitchen has recorded, on a Pancake file, two measurements for each of its pancakes made in a certain month: the thickness in mm (millimetres) and the diameter in cm (centimetres). Each record on the file contains the two measurements for a pancake, thickness followed by diameter. The last record in the file contains values of 99 for each measurement. Design a program that will read the Pancake file, calculate the minimum, the maximum and the average for both dimensions, and print these values on a report.


D. Write in the form " if p then q", then write converse, inverse and contra positive of each of the following implications.


  1. it is necessary to do your homework to get a passing grade.
  2. if you read your lesson everyday, you will pass all your courses.

The capacitors have values C1 = 2.5 μF and C2 = 4.0 μF, C3 =

6.0 μF C4 = 8.0 μF and the potential difference across the battery is

12.0 V. Assume that the capacitors are connected in series. Find the

equivalent capacitance of the circuit and solve for the potential

difference across each capacitors.


What is the capacitance of a parallel plate capacitor with metal

plates, each of area 1.50 m2, separated by 2.01 mm? What charge is

stored in this capacitor if a voltage of 2.50 × 103 V is applied to it?


A 0.5kg basketball moving at 1.4m/s collides with a 1.2kg bowling ball moving at 3.5m/s. After collision, the velocity of the basketball was increased by 0.4m/s. What is the final velocity of the bowling ball?

write the negation of these propositions


  1. Today is Monday
  2. The air in Naic Cavite is hot and polluted.
  3. Summer in Davao is hot and sunny.
  4. 2 + 1 > 5
  5. it is hot.
  6. X + y = 4
  7. 7. sierra madre mountains are denuded.
  8. a x b > 6
  9. it's raining in August.
  10. it is cold in December

If In=int_0 to ♾️ {(e^-x)(sin^n) (x) dx } , prove that (1+n^2)In=n(n-1)In-2 for n≥2 .

 What is the difference between the external structure of a crystalline solid from an amorphous solid?


What is the density of N2O2 at STP?


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