Answer:
a) The symbol for sample standard deviation is S
b) The symbol for population standard deviation is б (sigma)
c) The symbol for sample variance ![S^{2}](https://tex.z-dn.net/?f=S%5E%7B2%7D)
d)The symbol for population variance is ![б^{2}](https://tex.z-dn.net/?f=%D0%B1%5E%7B2%7D)
Step-by-step explanation:
Step 1:-
Population:- Population consists of the total of the observations with which we are concerned.
Parameters:- The statistical constants of the population namely mean , variance
and standard deviation 'б '
Sample:- A sample is a subset of a Population
statistics:-
he statistical constants of the sample namely mean , variance
and standard deviation 'S '
step2:-
a) The symbol for sample standard deviation is S
b) The symbol for population standard deviation is б (sigma)
c) The symbol for sample variance ![S^{2}](https://tex.z-dn.net/?f=S%5E%7B2%7D)
d)The symbol for population variance is ![б ^{2}](https://tex.z-dn.net/?f=%D0%B1%20%5E%7B2%7D)
Answer:
x2 - 10x - 1994
Step-by-step explanation:
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-10x-1994
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is -1994
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1994 = -1994
Step-2 : Find two factors of -1994 whose sum equals the coefficient of the middle term, which is -10 .
-1994 + 1 = -1993
-997 + 2 = -995
-2 + 997 = 995
-1 + 1994 = 1993
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 - 10x - 1994
Processing ends successfully
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<h2><u>Given</u> : - </h2>
x = 2 & z = 3x
<h2><u>Solution</u> : - </h2>
<h3>⇒x + 4z - 5 - 3x</h3>
<h3>⇒(2) + 4(6) - 5 - 3(2)</h3>
<h3>⇒2 + 24 - 5 - 6</h3>
<h3>⇒26 - 11</h3>
<h3>⇒15</h3>