A polynomial equation with rational coefficients has the roots 7 + *sqrt* 3 , 2 - *sqrt* 6. Find two additional roots.
2 answers:
Answer:
option: A
Step-by-step explanation:
" if for a polynomial with rational coefficients has irrational roots then these irrational roots will always appear in pair " .
we are given that and
are two roots of a polynomial equation with rational coefficients, then it's complex conjugate is also a root of this polynomial equation i.e. '
' and '
' are also roots of this polynomial equation.
Hence, option A is correct.
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Answer:
And if we solve for a we got
And the limits for this case are: (214.4; 295.4)
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the annual precipitation of a population, and for this case we know the distribution for X is given by:
Where and
The confidence level is 95.44 and the signficance is and the value of
. And the critical value for this case is
Using this condition we can find the limits
And if we solve for a we got
And the limits for this case are: (214.4; 295.4)
Let the length of the square base be x inches .
And the height of the box be y inch .
Volume = x*x*y
4000 = x *x *y
S = x*x + 2xy + 2 x y
S ' =0
x = 20