What percentage is 122 out of 222?
2 answers:
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Answer:
a) 0.27 % b) 0.27%
Explanation:
a) The inspector can choose 1 part from 11 parts in 11C1 ways. These are total number of mutually exclusive events.
Now three cavities are effected by temperature Malfunction that results in the parts that do not conform to specifications. To obtain exactly 1 non conforming part the inspector have to choose from one of the three cavities that are effected by temperature. This can be done in 3C1 ways.
Probability that inspector finds out exactly 1 non conforming part is,
Probability =
Probability = = 3 / 11
= 0.27 %
b) As the inspector is choosing only 1 part for inspection so the probability to find exactly 1 non conforming part is same as the probability to find at least 1 non conforming part.
So the probability is 0.27 %.
Answer:
The pressure and volume of the tank are 246.878 Kpa and 9.449 m³ respectively.
Explanation:
Volume is constant as the tank is rigid. Take the saturation condition of water from the steam table for pressure at 127°C.
Given:
Total mass of water is 22 kg.
Mass of liquid water is 9 kg.
Temperature of water is 127°C.
From steam table at 127°C:
The pressure in the tank is 246.878 Kpa.
Specific volume of saturated water is 0.00106683 m³/kg.
Specific volume of saturated steam is 0.72721 m³/kg.
Calculation:
Step1
From steam table at 127°C:
The pressure in the tank is 246.878 Kpa.
Step2
Dryness fraction is calculated as follows:
Here, dyness fraction is x, mass of vapor is and total mass is
.
Substitute the values in the above equation as follows:
x = 0.59
Step3
Specific volume of tank is calculated as follows:
v=0.4295 m³/kg.
Step4
Volume is calculated as follows:
V=9.449 m³.
Thus, the pressure and volume of the tank are 246.878 Kpa and 9.449 m³ respectively.