Answer:
The set of numbers of the form , q≠0 and q≠ 1 or -1.
Step-by-step explanation:
We have that,
U = the universal set = the set of all rational numbers
S = set of all integers.
It is required to find .
Now, is the complement of the set S.
i.e. = U - S = set if rational numbers - set of integers
i.e. = the set of rationals which are not integers i.e. the set of points of the form
, q≠0 and q≠ 1 or -1.
Answer:
Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips
Step-by-step explanation:
: Mean speed of the new chip is the same as the old chip
: Mean speed of the new chip is greater than the old chip
to calculate the z-statistic we can use the formula:
z=
if we put the numbers then
z= =4.8171
The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips
I suppose
The vectors that span form a basis for
if they are (1) linearly independent and (2) any vector in
can be expressed as a linear combination of those vectors (i.e. they span
).
Compute the Wronskian determinant:
The determinant is non-zero, so the vectors are linearly independent. For this reason, we also know the dimension of is 3.
Write an arbitrary vector in as
. Then the given vectors span
if there is always a choice of scalars
such that
which is equivalent to the system
The coefficient matrix is non-singular, so it has an inverse. Multiplying both sides by that inverse gives
so the vectors do span .
The vectors comprising form a basis for it because they are linearly independent.
Answer:
The translation is unit to the left and
units down
Step-by-step explanation:
we have
-----> parent function
we know that
The transformation
f(x)-----> g(x) has the following rule
That means
The translation is unit to the left and
units down
see the attached figure to better understand the problem
