Answer:

Step-by-step explanation:
<u>Linear Combination Of Vectors
</u>
One vector
is a linear combination of
and
if there are two scalars
such as

In our case, all the vectors are given in
but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have

We set the equation

Multiplying both scalars by the vectors

Equating each coordinate, we get



Adding the first and the third equations:


Replacing in the first equation



We must test if those values make the second equation become an identity

The second equation complies with the values of
and
, so the solution is

1:1, because there’s a same number of both !
Answer:
x = 4.2
Step-by-step explanation:
14.1² + x² = 14.7²
198.81 + x² = 216.09
216.09 - 198.81 = 17.28
√17.28 = 4.15
x = 4.15
Round to nearest tenth
x = 4.2
Answer:
Its 6 units away
Step-by-step explanation:
Answer:

Step-by-step explanation:
The following information is missing in the question:
We have to find z-score for the given score on this dental anxiety scale: 12, 6
We are given the following information in the question:
Mean, μ = 11
Standard Deviation, σ = 4
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:

where x is the given score on this dental anxiety scale.
For x = 12

For x = 6
