Answer:
Answer choice A, I believe
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
4/20 = x/100
100*4 =400
400/20 = 20
so
4/20 = 20/100
The answer is 9.92 pounds
To solve this
problem, we will have to make use of the z statistic. The formula for the z
score is given as:
z = (x – u) / s
where,
x is the sample value = more than $10.00
u is the sample mean = $8.22
s is the standard deviation = $1.10
Substituting the values into the equation to solve for z:
<span>z = (10 – 8.22) /
1.10</span>
z = 1.78 / 1.10
z = 1.62
We then look for the p value using the standard
distribution tables at the specified z score value = 1.62. Since this is a
right tailed test, therefore the p value is:
p = 0.0526
or
p = 5.26%
<span>Therefore there is a 5.26% probability that a household
spent more than $10.00</span>
Answer:
Step-by-step explanation:
The given quadratic form is of the form
.
Where 
.Every quadratic form of this kind can be written as
Observe that 
is a symmetric matrix. So is orthogonally diagonalizable, that is to say, 
where 
is an orthogonal matrix and 
is a diagonal matrix.
In our case we have:
The eigenvalues of are 
.
Every symmetric matriz is orthogonally diagonalizable. Applying the process of diagonalization by an orthogonal matrix we have that:
Now, we have to do the change of variables 
to obtain
Which can be written as:
