Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for each contract with the city
2 answers:
Answer: The function representing the scenario is and the amount earned after 10 hours is $ 390.
Step-by-step explanation: Given that Luigi is an independent contractor who charges a $140 fee plus $25 per hour for each contract with the city.
We are to write a function representing the scenario where y represents the total amount her charges for a project and x represents the number hours worked on a project.
Also, to find the amount earned after 10 hours of work.
The number of hours Luigi work on a project is represented by x.
So, the amount charged by Luigi for a project is given by
Since y represents the total amount charged by Luigi on a project, therefore we must have
Now, if Kuigi work for 10 hours, then we have
x = 10.
Therefore,
Thus, the function representing the scenario is and the amount earned after 10 hours is $ 390.
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Answer:
The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.
Step-by-step explanation:
Given:
Maximum safe-weight of 37 cars = 82 tons
∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)
Mean weight of 1 car (μ) = 2 tons
Standard deviation of 37 cars = 0.8 tons
So, standard deviation of 1 car is given as:
Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?
The sample is normally distributed (Assume)
Now, let us determine the z-score of the mean weight.
The z-score is given as:
Now, finding P(x > 2.22) is same as finding P(z > 1.69).
From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.
But we need the area under the curve for z > 1.69.
So, we subtract from the total area. Total area is 1 or 100%.
So,
Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.