Let same number of hours = x,
since the salary earned is also the same, then
Salary of supervisor A = $25x
Salary of supervisor B = $20(30)+$30(x-30)
Equating
25x=600+30(x-30)
30x-25x=900-600
5x=300
x=60 hours
Check:
Salary of supervisor A = 25*60=1500
Salary of supervisor B = 20*30+30*(60-30)=600+900=1500, ok.
Answer:
3 hours
Step-by-step explanation:
Let's express number of hours required for servicing as: x
The auto repair on First Street charges a flat fee of $15 plus $10 an hour for servicing a car.
This is expressed mathematically as:
$15 + $10 × x
= 15 + 10x
The auto repair shop on Second Avenue charges no flat fee but $15 an hour for servicing a car
This is expressed as:
$15 × x
= 15x
The number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at both shops is calculated as:
Charges by Auto repair shop on First street = Charges by Auto repair shop on Second Avenue
15 + 10x = 15x
15 = 15x - 10x
15 = 5x
5x = 15
x = 15/5
x = 3 hours
Therefore, the number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at either auto repair shops is 3 hours
The standard deviation of the data set is 19.3
<h3>How to find the standard deviation of the data set?</h3>
The dataset is given as:
82, 94, 105, 68, 57
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (82 + 94 + 105 + 68 + 57)/5
Evaluate
Mean = 81.2
The standard deviation is then calculated as:
So, we have:
SD = √[(82 - 81.2)^2 + (94 - 81.2)^2 + (105 - 81.2)^2 + (68 - 81.2)^2 + (57 - 81.2)^2)/5 - 1]
This gives:
SD = √[1490.8/4]
So, we have:
SD = 19.3
Hence, the standard deviation of the data set is 19.3
Read more about standard deviation at
brainly.com/question/4514629
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