Answer:
Results are below.
Step-by-step explanation:
<u>First, we need to calculate the variable income per job:</u>
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First job= 450 - 150= 300
Second job= 675 - 150= 525
<u>Now, the hourly rate:</u>
<u></u>
Hourly rate= total variable income / number of hours
First job= 300 / 4= $75
Second job= 525 / 3= $175
It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour
The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28
<h3>What is mean absolute deviation?</h3>
Mean absolute deviation is the average of the absolute deviation of each observation from their mean, for a considered set of observations.
For this case, the table of mean and mean absolute deviation is given as:

(M.A.D refers to Mean Absolute Deviation).
So, difference in their mean is 82 - 78 = 4
Absolute deviation for Sidney is 3.28
Thier ratio is: 4/3.28
Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28
Learn more about ratio here:
brainly.com/question/12106245
Answer:
f'(x) = 
Step-by-step explanation:
i) f(x) = 9 / x
ii) f'(x) = 

Answer:
-⅖
Step-by-step explanation:
We need to simplify the given equation and find out the value of a , as ,
=> 3(a-1)+31-11a = 4(2a+3)
=> 3a -3+31-11a = 8a + 12
=> -8a -28 = 8a + 12
=> 16a = -28-12
=> 16a = -40
=> a = -2/5
<h3>
• Hence the value of a is -⅖ .</h3>
Answer:
Pretend that x and y represents the 2 numbers that we need to find.
According to the information, we know that:
x + y = 21
6x = y
Replace y in the first equation with 6x (because they are equal to each other according to the second equation):
x + y = 21
x + 6x = 21
7x = 21
x = 21/7 = 3
Now have two ways to find y, both will give us the same result:
3 + y = 21 ⇔ y = 21 - 3 = 18
6 · 3 = y ⇔ y = 18
So the numbers that we need to find are 3 and 18.