Y = 3x + 5
(0,5) (1,8)
y = -2x + 20
(0,20) (1,18)
Answer:
decimal 0.13
percent is 13
Step-by-step explanation:
Answer:
<u>Mean:</u> 810.51
<u>Standard deviation:</u> 128.32
Step-by-step explanation:
First, we calculate the sample mean. We have 35 data samples, so we compute it as 
.
In general, given a set of <em>n </em>samples 
, we calculate the sample mean as
.
For the standard deviation 
, we first begin by calculating it's square. It can be obtained from the formula
By taking square root after computing the right hand side, we attain the desired value.
The attached image shows the dot diagram of this sample. The bottom pink vertical line shows the mean, and the two horizontal pink lines have a lenght of .
The standard deviation means "The average expected distance a new sample will be from the mean". That's why usually, data samples which are denser around the mean have smaller standard deviations (as opposed to distributions who have a lot of values far away from the mean, which will make the standard deviation grow bigger).
Slope-intercept:
Find the slope (change in y / change in x) of the equation, and the y intercept (the point where the line crosses the x axis).
y = mx + b, where m is the slope and b is the y-intercept.
To graph, draw a line through (0,b) with slope m.
Point-slope form:
(y-b) = m(x-a), where m is the slope and (a,b) is a point the line passes through.
Find the slope, and then pick any point that lies on the line and substitute into (a,b).
To graph, start at the point (a,b), and draw a line through that point with slope m.
Standard form:
Ax + Bx = C.
Example: 2x + 3y = 24
Notice that this form does not clearly include any points, the slope, or the intercepts. So how can we easily graph it?
To graph a line written in standard form, you can simply draw a line between the y-intercept and the x-intercept.
To find the y-intercept using our example.
2x + 3y = 24
y intercept is where x=0
0 + 3y = 24
y = 8 when x=0, y-intercept = (0,8)
X-intercept, sae process but plugging in zero for y:
2x + 0 = 24
x = 12
To graph, simply draw a line that goes through (0,8) and (0,12)
