Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as
1 answer:
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Answer:
The amount of thermal energy that is generated is 1000 joules.
Step-by-step explanation:
Let consider the person diving into a pool as a closed system, that is, a system with only energy interaction with the surroundings. According to the First Law of Thermodynamics, which is a generalization of the Principle of Energy Conservation, the total energy of the system is neither destroyed, nor created, only transformed. The initial gravitational potential energy is transformed into translational kinetic and thermal energy. That is to say:
Where:
- Gravitational potential energy, measured in joules.
- Translational kinetic energy, measured in joules.
- Thermal energy, measured in joules.
The thermal energy is now cleared:
Given that and
, the amount of thermal energy that is generated is:
The amount of thermal energy that is generated is 1000 joules.
Answer:
a) The observed proportion of wallets that were returned
p = 0.45625
b) <em> 95% of confidence intervals for Population proportion</em>
<em> 0.40168 , 0.51082)</em>
<em>c) The lower bound of the 95% confidence interval = 0.40168</em>
<em>d) The upper bound of the 95% confidence interval = 0.51082</em>
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
a)
Given data the researchers left a total of 320 wallets around Edinburgh, as though the wallets were lost. Each contained contact information including an address. Of the wallets, 146 were returned by the people who found them
Given sample size 'n' = 320
Given data 'x ' = 146
<em>Sample proportion </em>
<u><em>Step(ii)</em></u>:-
b)<em> </em><u><em>95% of confidence intervals for Population proportion</em></u>
Level of significance = 95% or 0.05%
<em>95% of confidence intervals for Population proportion are determined by</em>
<em></em><em></em>
<em></em><em></em>
<em>(0.45625 - 0.05457 , 0.45625 + 0.05457)</em>
<em>( 0.40168 , 0.51082) </em>
<em>c) The lower bound of the 95% confidence interval = 0.40168</em>
<em>d) The upper bound of the 95% confidence interval = 0.51082</em>