Answer:
1.y=2x+7
2.y=1/2x+2
Step-by-step explanation:
Graph 1-
The slope-intercept form is y=mx+b
b= y-intercept which in graph 1 is 7
so y=mx+7
in order to find m you use the y2-y1/x2-x1 equation.
This means find two coordinates on the graph such as (0,7) and (-1,5).
Now find y2:5
y1:7
x2:-1
x1:0
y2-y1= 5-7=-2
x2-x1= -1
That gives you -2/-1 which you then simplify to = 2
So the graph would be y=2x+7
Graph 2:
You will do the same steps: Find where the line passes through y on a graph, which will be y=2.
b=2
y=mx+2
then find two coordinates, (0,2)(2,3)
y2=3
y1=2
x2=2
x1=0
y2-y1=3-2=1
x2-x1=2-0=2
The slope of the graph which is m= 1/2
y=1/2x+2
Answer:
A
Step-by-step explanation:
(x, y) -----> (x + 4, y - 1)
Adding 4 to the x means you move right 4. Subtracting 1 from the y means you move down one.
The next transformation (-(x + 4), y - 1)
If you look at the x coordinate and the transformation that is being applied
(-(x+4) that negative means you are taking the opposite of the x coordinate.
When you take the opposite of the x coordinate, it means you reflect it over the y axis.
Answer:
I have attached a screenshot of your inequality graphed. Credit to Desmos.
Answer:
a) 0.1984
b) No. Is not too small to support the conjecture with confidence
Step-by-step explanation:
1) Previous concepts and data given
The sample sizes are 
We can find the distribution for
, and since is a sampling distribution and
and
follows normal distributions then
follows a normal distribution too.
The mean and the deviation for
is given by:
and since
then 

Since both A and B have the same deviation and variance then:

2) Part a
We want to find:

The random variable
follows a normal distribution with mean 0 and deviation 1 we can use this:


3) Part b
From part a we found that we have a change of 19.84% that the experiment would give a difference between the sample means which is greater or equal than 0.2
Analyzing the probability obtained we can say that is not too small to support the conjecture with confidence that the population means for the two machines are different