Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let 
. then we have that 
. Hence, it makes sense to define the positive number delta as 
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that 
, and if we prove this, we are done. To prove it, let 
, then 
. First, 
then 
hence 
On the other hand, 
then 
hence 
. Combining the inequalities, we have that 
, therefore as required.
Answer:
B 10x+5
Step-by-step explanation:
:)
Answer:
it is not necessary to confirm that the sample data appear to be from a population with a normal distribution;
D. Because the sample size of 50 is greater than 30, it can be assumed that the sample mean is from a population with a normal distribution
Step-by-step explanation:
Normal distribution which is otherwise known as the Gaussian distribution, it 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 arithmetic mean or average; is the sum of a collection of numbers divided by the total numbers in the collection.
If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule
From this definition, we can write 
in terms of 
:
and so on, up to
(notice how the subscript on <em>a</em> and coefficient on 3 add up to <em>n</em>)
or
To get the square root of 29, we can simply use a
calculator.
So the square root of 29 using the calculator is:
sqrt (29) = 5.3852
<span> So we can say that
5.7145 is greater than the square root of 29.</span>
<span>The difference is 5.7145 – 5.3852 = 0.3293</span>
