suppose you have $55 in your bank account. You start saving $10 each week. Your friend has $20 in her account and is saving $15
1 answer:
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Answer:
a) 471.5 kilo-watt hours.
b) 31.76 kilo-watt hours
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the population:
Mean 471.5 kilo-watt hours.
Standard deviation of 187.9 kilowatt-hours.
For the sample:
Sample size of 35, by the Central Limit Theorem:
a) Mean
471.5 kilo-watt hours.
b) Standard deviation
31.76 kilo-watt hours
For Commutative Property of Addition
Let us take a decimal number and a fraction
Now, according to the Commutative property of Addition:
For any two numbers and
:
So, for and
Let us add
Also,
Therefore,
Hence, Commutative Property of Addition is satisfied.
For Associated Property of Addition
Let us take two same decimal numbers ,
and a fraction
Now, according to the Associated property of Addition:
For any three numbers ,
and
So, for ,
and
The Left hand side:
The Right hand side:
Thus,
Therefore,
Hence, Associative Property of Addition is satisfied.