Answer: 15.9
Step-by-step explanation:
Answer:
Second choice:


Fifth choice:


Step-by-step explanation:
Let's look at choice 1.


I'm going to subtract 1 on both sides for the first equation giving me
. I will replace the
in the second equation with this substitution from equation 1.

Expand using the distributive property and the identity
:




So this not the desired result.
Let's look at choice 2.


Solve the first equation for
by dividing both sides by 2:
.
Let's plug this into equation 2:



This is the desired result.
Choice 3:


Solve the first equation for
by adding 3 on both sides:
.
Plug into second equation:

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:



Not the desired result.
Choice 4:


I'm going to solve the bottom equation for
since I don't want to deal with square roots.
Add 3 on both sides:

Divide both sides by 2:

Plug into equation 1:

This is not the desired result because the
variable will be squared now instead of the
variable.
Choice 5:


Solve the first equation for
by subtracting 1 on both sides:
.
Plug into equation 2:

Distribute and use the binomial square identity used earlier:



.
This is the desired result.
Answer:
b). posterior probabilities.
Step-by-step explanation:
Posterior Probabilities are described as the updated probabilities which are estimated employing the theorem proposed by Baye. According to his theorem, an association is developed between probability and the newly received information. <u>When the previously existing probabilities are amalgamated with this updated information, it gives the existing probabilities' value a correction, update, or revision namely 'posterior probabilities</u>.' Thus, it is the probability that asserts the truth of a hypothesis and hence, <u>option b</u> is the correct answer.
The slope is 0/2 (0) because they are on the same x line.
Attached is a picture showing the plot in the plane.
Note that for a complex number , x + iy.
The real part of the number is put on the x axis and the imaginary part is put on the y axis.
So plotting:
A = 4 + 1i
B = 9 + 7i
C = 5 + 8i
See picture.