1. The compressive strength of concrete is being studied, and four different mixing techniques are being investigated. The following data have been collected. Test the hypothesis that mixing techniques affect the strength of the concrete. Use a = 0.05

2. Assume that each of your calls to Taylor Swift has a probability of 0.02 of connecting, that is, of not obtaining a busy signal. Assume that your calls are independent. What is the probability that your first call that connects is your tenth call?

3. The yield of a chemical process is being studied. From previous experience yield is known to be normally distributed and a = 3. The past five days of plan operation have resulted in the following percent yields: 91.6, 88.75, 90.8. 89.95, and 91.3. Use a = 0.05. What is the P-value for this test?

4. Customers are used to evaluate preliminary products designs. In the past, 95% of highly successful products received a good review, 60% of moderately successful products received good reviews. And 10% of poor products received good reviews. In addition, 40% of products have highly successful, 35% have been moderately successful, and 25%have been poor products. If a new design attains a good review, what is the probability that it will be a highly successful product?

5. Soft drink cans are filed by an automated filling machine and the standard deviation of 0.5 fluid ounce. Assume that the fill volumes of the cans are independent, normal random variable. What is the standard error of the average fill volume of 100 cans?

6. The term 'bronze' is used to designate any alloy containing:

7. The best and most widely used semiconductor element.

8. Which of the following is nota classification of materials commonly used in material science?

9. What is defined as an alloy of iron and carbon, with the carbon being restricted within certain

concentration limits?

10. The process that makes the semiconductor conducts electricity by the addition of impurities is called?

11. Which type of radiation is the least penetrating?

12. A sample gas occupies 12 L under a pressure of 1.2 atm. What would its volume be if the pressure was increased to a 2.4 atm?

13. pH is the measurement of the concentration of hydronium ions present in a solution. When

certain acid solution contains aH30+ concentration of 2.0 x 10^-3 M, the pH of the solution is?

14. Snow and hail are formed when water vapor in the sub-freezing air is transformed into ice without going through the liquid phase. This process of converting gaseous substance into solid phase is called?

15. Consider the following Equation. _C6H14(1) +_02(g)→_CO2(g)+_H20(g)

16. Also known as Ecological Solid Waste Management Act of 2000.

17. Characteristics of chemical substance by chemical action, can cause severe damage when

contact with living tissue.

18. List of chemicals that are determined to pose significant or unreasonable risk to human

health and the environment.

19. This class is intended primarily for waters having watersheds which are uninhabited and otherwise protected ad which require only approved disinfection in order to meet the National Standards for Drinking Water (NSDW) of the Philippines.

20. Any matter found in the atmosphere other than oxygen, nitrogen, water vapor, carbon dioxide, and the inert gases in their natural or normal concentrations, that is detrimental to health or the environment.

21. A 250 N box hangs from a rope. If the box is pushed with a horizontal force of 145 N, the angle between the rope and the vertical is approximately;

22. A 0.5 kg ball travels in a circle 40 cm radius at a speed of 4 m/s. The centripetal force acts on

the ball is;

23. A 50 kg runner covered a distance of 100 m in 5s. What is the momentum of the runner?

24. A 60 kg skater pushes a 50 kg skater, who moves away at 2 m/s.as a result, the first skater

moves backward at;

25. A 10 N box is lysing along the floor. The coefficient of static and kinetic friction between the Surface is 0.4 and 0.3 respectively. What force is needed to keep the block moving at constant speed when set up in motion?

26. Two charges of 1 pC each are separated 10 cm apart. The potential energy between them would be;

27. The gap between electrodes in a spark plug is 0.06 cm. In order to produce an electric spark in a gasoline-air mixture, the electric field must reach a value of 3.0 x10^6 N/C. What minimum voltage must be supplied by the ignition circuit when starting the car?

28. A typical capacity of a 12-Vautomobile battery is rated 115 Ampere-hours (ah). If the voltage staysconstant, how many hours will the 60-W headlight operate before the battery iscompletely discharged?

29. The power rating of an electric motor that draws a current of 3 A when operated at 120 V source.

30. Two resistors, 120 Q and 180R, are connected in series across a power supply. If the Voltage

across 120 N resistor is 6.4 V. What is the supply voltage?

31. A cylindrical water tank is 8m in diameter and 12 m high. If the tank is to be completely filled,

determine the minimum thicknessof the tank plating if the stress is limited to 40 Mpa.

32. What power in kilowatts a10-mm diameter solid shaft at 30 rps can transmit if the allowable

torsional shearing stress is 40Mpa?

33. A simply supported beam is5.0 m in length. It carries a uniformly distributed load including its own weight of 300N/m and a concentrated load of 100 N, 2.0 m from the left end. Find the reaction A at the left end and the reaction B at the right end.

34. Determine the Rb on a simple supported beam shown in the figure below

35. Consider the figure shown below. What is the reaction force in the roller support? Assume

the system is in equilibrium.

36. A corporation purchased a machine for Php 655,580 freight and installation charges amounted to 3% of the purchase price. If the machine depreciated over a period of 10 years with a salvage value of P30,000. Determine the accumulated depreciation cost during the 6' year using the SYD Method.

37.A machine Ergonomics Laboratory costs Php 11,500,000 and an estimated life of 10 years with a salvage value of Php 25,000. What is the depreciation cost after 7 years using the straight-line method?

38. A machine Ergonomics Laboratory costs Php 11.500,000 and an estimated life of 10 years with a salvage value of Php 25,000. What is the book value after 7 years using the straight-line method?

39. A road in northern region requires maintenance costing of Php 250,000 at the end of year 1 and annually thereafter. If money is worth 10% determine the capitalized cost of all future maintenance.

40. Sally loaned P 350,000 from the bank to finance her milk tea business. At the end of five years, the loaned amount together with the interests amounted to P 402,345. What is the nominal rate of interest, compounded annually, charged to this account?

41. The ratio of successful outcomes over the total possible outcomes is called:

42. Find the slope of the line tangent to the curve y=x3-2x+ 1 at x=1.

43. The angular bisector of the sides of a triangle intersects at the point which is known;

44. Ten liters of 25% salt solution and 15 liters of 35% salt solution are poured into a drum originally containing 30 liters of 10% salt solution. What is the percent concentration of salt in the mixture?

45. What time after 3 o'clock will the hands of the clock be together for the first time?

46. Find the derivative off(x)=6x3-9x+4

47. A pump can pump out water from a tank in 11 hours. Another pump out water from the same

tank in 20 hours. How long will take both pumps to pump out water in the tank?

48.If sin A= 2.511 x, cos A= 3.06x and sin 2A= 3.939 x, find the value of x

49. A man finds the angle of elevation of the top of the tower to be 300, he walks 85 m nearer the

tower and finds its angle of elevation to be 600. What is the height of the tower?

50. What is the radius of the circle circumscribing an isosceles right triangle having an area of

163 sq.cm.?

51. If A= 12i-16j and B=-24i +10j, what is the magnitude of the vector C = 2A-B?

52. A car and a truck travel in the same direction at 70 kph and 50 kph respectively from the gas station. What is the distance between them after 2 hours?

53. A Honda civic car is traveling at 25 m/s when the brakes are applied. If the car stopped at the end of 5 s, what was the acceleration of the car?

54. A ball is thrown vertically upward at 30 m/s. How high will it take for the ball to reach the highest point after it was thrown? Neglect air resistance.

55. A cannonball is fired with initial velocity of 7.40 m/s at an angle of 25° above the horizontal. What is the horizontal distance covered by the cannonball landed on the same level?

56. A flywheel is rotating at the rate of 150 rpm. Determine through how many radians does it turn in 5 minutes?

57. A 25-kg object lies on a horizontal surface. The force needed to move it along the surface is 20 N. What is the coefficient of friction?

58. A 5-kg box of appliances is pulled by a constant horizontal force of 10 N to the right. If kinetic friction between the surface is 3 N, what is the acceleration of the box?

59. A 0.5 kg ball travels in a circle 40 cm radius at a speed of 4 m/s. The centripetal force acts on the ball are;

60. A 3 kg brick is lifted to a height of 15 m on a building under construction. What is the increase in potential energy?

61. A 50 kg runner covered a distance of 100 min 5s. What is the momentum of the runner?

62. A wheel, originally rotating at 126 rad/s undergoes a constant angular deceleration of 5.00 rad/s2. What is its angular speed after it has turned through an angle of 628 radians?

63. The waters speed at the opening of the horizontal pipeline is 4 m/s. What is the speed of water at the other end of the pipeline having twice the diameter that of the opening?

64. A child wants to pump up a bicycle tire so that its pressure is 2.5 x 10^5 Pa above that of atmospheric Pressure. If the child uses a pump with a circular piston in diameter, what force must the child exert?

65. The gap between electrodes in a spark plug is 0.06 cm. In order to produce an electric spark in a gasoline-air mixture, the electric field must reach a value of 5.0 x10°N/C. What minimum voltage must be supplied by the ignition circuit when starting the car?

66. A capacitor that stores a charge of 0.5 C at 10 V has a capacitance of;

67. Calculate the capacitance between two parallel plates each of which is 100 cm² and 2 mm apart in air.

68. Calculate the resistance of the wire of diameter 5 mm and length of 10 m. The resistivity of the copper is1.72 x10-82-m.

69. A 10-Ω resistor and a 20-Ωresistor are connected in series with a power source. If the current through the 10-Ω resistor is 2 A, what is the voltage across the 20-0 resistor?

70. A nylon rope 10.0 mm in diameter breaks when a load of 20 kN is applied to it. Estimate the strength of a nylon rope 4.0 mm in diameter.

71.) The following are prohibited acts under RA 9275 (The Philippine Clean Water Act) except:

72. Upon electrolyzing 1.32 g of water, a mixture of hydrogen and oxygen gas is produced which is subsequently collected over water at 30 degrees Celsius and 748 mmHg. 2.90 liters of the wet gas was obtained. What must be the vapor pressure of water at 30 degrees Celsius in terms of mmHg?

73. Steam undergoes isentropic expansion in a turbine from 5,000kPa and 400˚C (entropy is 6.65kJ/kg-K) to 150kPa (entropy of saturated liquid=1.4336kJ/kg-K, entropy of saturated vapor=7.2234kJ/kg-K). The exit condition of the steam is: