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Answer:
<em>Graph below</em>
Step-by-step explanation:
<u>Graph of a Function</u>
We are given the function
y = f(x) = -4/3x + 8
Since this is the equation of a line, we only need two points to draw the graph, but we'll calculate some points more.
Select values for x={-3, 0, 3, 6, 9}
For x=-3:
y = -4/3(-3) + 8 = 4 + 8 = 12
Point (-3,12)
For x=0:
y = -4/3(0) + 8 = 0 + 8 = 8
Point (0,8)
For x=3:
y = -4/3(3) + 8 = -4 + 8 = 4
Point (3,4)
For x=6:
y = -4/3(6) + 8 = -8 + 8 = 0
Point (6,0)
For x=9:
y = -4/3(9) + 8 = -12 + 8 = -4
Point (9,-4)
Now plot the points in a rectangular grid and join them. The graph is shown below.
The standard error of the mean is 12.
The standard error of the mean points to the standard deviation of the distribution of a sample mean obtained from a population.
The standard error S.E of the mean can be calculated by using the formula:
where;
- standard deviation
= 24
- sample size n = 4
S.E = 12
Learn more about the Standard error of the mean here:
Answer:
75%
Step-by-step explanation:
We can use the formula
- "of" is 5
- "is" is 3.75
- We will denote "percent" as x since that is what we are solving for
Now we just need to plug in the known values and solve for x
- Cross multiplying we get (5)(x) = (3.75)(100)
- Then simplifying we get 5x = 375
- Dividing by 5 we get x = 75%
$3.75 is 75% of $5