Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation
![Z =\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
Where
μ is the mean, x is a data of the population and
is the standard deviation
In this case
![\mu =101\\\\\sigma = 3.4\\\\X = 105](https://tex.z-dn.net/?f=%5Cmu%20%3D101%5C%5C%5C%5C%5Csigma%20%3D%203.4%5C%5C%5C%5CX%20%3D%20105)
Then the z-score is
![Z = \frac{105-101}{3.4}\\\\Z = 1.18](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B105-101%7D%7B3.4%7D%5C%5C%5C%5CZ%20%3D%201.18)
Answer:
1. Consistent equations
x + y = 3
x + 2·y = 5
2. Dependent equations
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
x + 2 = 4 and x + 2 = 6
5. Independent equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
4 = 2
7. One solution
3·x + 5 = 11
x = 2
Step-by-step explanation:
1. Consistent equations
A consistent equation is one that has a solution, that is there exist a complete set of solution of the unknown values that resolves all the equations in the system.
x + y = 3
x + 2·y = 5
2. Dependent equations
A dependent system of equations consist of the equation of a line presented in two alternate forms, leading to the existence of an infinite number of solutions.
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
These are equations with the same roots or solution
e.g. 9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
Inconsistent equations are equations that are not solvable based on the provided set of values in the equations
e.g. x + 2 = 4 and x + 2 = 6
5. Independent equations
An independent equation is an equation within a system of equation, that is not derivable based on the other equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
No solution indicates that the solution is not in existence
Example, 4 = 2
7. One solution
This is an equation that has exactly one solution
Example 3·x + 5 = 11
x = 2
The picture is off point so I can’t read the entire paper!! Sorry and GOOD LUCK
Multiply (x/6) by 6 to get common denominators and then you can simplify equation to 6x=15, divide each side by 6 answer is x=2.5 or 5/2