The magnitude of a vector is the length of the vector. It is also known as the modulus of the vector. For any vector of the form <a,b>, the length is equal to sqrt(a^2+b^2). Note how this follows from the pythagorean theorem.
Answer:
Step-by-step explanation:
<u>Corrected Question</u>
The solution to an inequality is represented by the number line. How can this same solution be written using set-builder notation? {x | x > }
Answer:

Step-by-step explanation:
Given an inequality whose solution is represented by the number line attached below.
We observe the following from the number line
There is an open circle at 3, therefore the solution set does not include 3. (We make use of > or < in cases like that)
The arrow is pointed towards the right. All points to the right of 3 are greater than 3, therefore:
The solution in the number line can be written using set-builder notation as:

Answer:
He will be unable to tell whether a difference in exercise preference is related to a difference in age or to a difference in weight
Step-by-step explanation:
age could be a factor to exercise as well as weight so both affect the outcome so he has two samples
Answer:
The new price is $153
Step-by-step explanation:
10% 0f 170 is 17
170-17=153