Answer with Step-by-step explanation:
We are given S be any set which is countable and nonempty.
We have to prove that their exist a surjection g:N
Surjection: It is also called onto function .When cardinality of domain set is greater than or equal to cardinality of range set then the function is onto
Cardinality of natural numbers set =( Aleph naught)
There are two cases
1.S is finite nonempty set
2.S is countably infinite set
1.When S is finite set and nonempty set
Then cardinality of set S is any constant number which is less than the cardinality of set of natura number
Therefore, their exist a surjection from N to S.
2.When S is countably infinite set and cardinality with aleph naught
Then cardinality of set S is equal to cardinality of set of natural .Therefore, their exist a surjection from N to S.
Hence, proved
The standard deviation of a dataset is the square root of the variance.
The standard deviation of the same set of data is 4
The variance is given as:
Take the square root of both sides to calculate the standard deviation
Substitute 16 for .
So, we have:
Take the positive square root of 16
Hence, the standard deviation of the same set of data is 4
Read more about standard deviations at:
brainly.com/question/475676
Answer:
6x + 1
Step-by-step explanation:
Step 1:
x + 2 = 7x + 3
Step 2:
6x + 3 - 2
Answer:
6x + 1
Hope This Helps :)
we are given
density of gold = 19.3g/cm^3
we know that
we have to change it into kg/m^3
so, we can plug these values
we can also write as
now, we can simplify it
..............Answer
<span>Assuming that the particle is the 3rd
particle, we know that it’s location must be beyond q2; it cannot be between q1
and q2 since both fields point the similar way in the between region (due to
attraction). Choosing an arbitrary value of 1 for L, we get </span>
<span>
k q1 / d^2 = - k q2 / (d-1)^2 </span>
Rearranging to calculate for d:
<span> (d-1)^2/d^2 = -q2/q1 = 0.4 </span><span>
<span> d^2-2d+1 = 0.4d^2 </span>
0.6d^2-2d+1 = 0
d = 2.72075922005613
d = 0.612574113277207 </span>
<span>
We pick the value that is > q2 hence,</span>
d = 2.72075922005613*L
<span>d = 2.72*L</span>