We know the following relationship:

The
domain of a function are the
inputs of the function, that is, a function

is a relation that assigns to each element

in the
set A exactly one element in the
set B. The set A is the domain (or set of inputs) of the function and the set B contains the range (or set of outputs).Then applying this concept to our function

we can write its domain as follows:
1. D<span>
omain of validity for 
:
</span>
When:

?
when:
where k is an integer either positive or negative. That is:

To match this with the choices above, the answer is:
<span>
"All real numbers except multiples of
"
</span>
2. which identity is not used in the proof of the identity 
:
This identity can proved as follows:

The identity that is not used is as established in the statement above:
<span>
"1 +cos squared theta over sin squared theta= csc2theta"
Written in mathematical language as follows:
</span>

<span>
</span>
Answer:
Since the name indicates Minimum Variance Unbiased Estimator-first of all it is a parameter estimator. Secondly, it is an unbiased estimator so that the sample is carried out randomly. I.e. whenever a sample is chosen, there is no personal bias.
Then we can consider more than one sample-based unbiased estimator but sometimes they can vary in variation. But we have always intended to select an estimator that has minimal variance.
Therefore if the unbiased estimator has minimal variation between all unbiased class estimators then it is known as a good estimator.
The advantage of MVUE is that it is impartial and has a minimal variance of all unbiased estimators amongst the groups.
At times we get an estimator such as MLE which is not unbiased because the sample can be personally biased. Now let us assume an instructor needs to find the lowest marks in a physics class. Presume an instructor picks a sample and interprets the lowest possible marks.
Again the mistake could be that the instructor may choose his favorite sample learners because the sample might not be selected randomly. Therefore it is important to select an unbiased estimate with a minimum variance.
Answer:
There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.
Also, a probability is unusual if it is lesser than 5%. If it is unusual, it is surprising.
In this problem:
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes, so
.
We need to find the probability that it takes less than one minute to find a parking space.
So we need to find the pvalue of Z when 



has a pvalue of 0.0228.
There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.
Complete Question
Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit.
Let p(x) represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x) represent Pizza Supreme's profit (in dollars) x days after June 1.
Suppose Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.
Write a function formula for p using the function s
Answer:
The function formula for p using the function s is p(x) = 1.9s(x)
Step-by-step explanation:
Given
p(x) = Primo Pizza's profit (in dollars) x days after June 1.
s(x) = Pizza Supreme's profit (in dollars) x days after June 1.
It is given that Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.
This implies that
p(x) = 1.9*s(x)
So, p(x) = 1.9s(x)
Hence, the function formula for p using the function s is p(x) = 1.9s(x)
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
B ( 3 , 1 ) and C( 6 , 3)
The distance between them is

We have the final answer as

Hope this helps you