Answer:
Probability, P(n) = 3/8
Explanation: Let standard delivery be S and express delivery be E.
I) When the parcels were sent:
S(n) = 75/100 and E(n) = 25/100
II) When the parcels arrived:
S(n)← = 80/100 and E(n)← = 95/100
The probability a record of a parcel delivery is chosen, P(n) = S(n)*E(n) + E(n)*S(n) = 75/100*25/100 + 25/100*75/100
P(n) = 3/16 + 3/16 = 6/16
∴ P(n) = 3/8
According to the historical and information record, the <u>Fair Labor Standards Act of 1938</u> established a minimum wage and overtime pay for employees working more than 40 hours a week.
<u>Fair Labor Standards Act of 1938</u> was made to improve the working conditions of employees and also protect their rights against exploring employers.
The <u>Fair Labor Standards Act of 1938</u> established standards on minimum wage, working hours, and oppressive child labor.
Hence, in this case, it is concluded that the correct answer is the "<u>Fair Labor Standards Act of 1938."</u>
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Answer:
a. How long will the current bridge system work before a new bracing system is required?: 64.18 years or 64 years and 2 months.
b. What if the annual traffic rate increases at 8 % annually: The bracing system will last for 24.65 years or 24 years and 7 months.
c. At what traffic increase rate will the current system last only 12 years: 17.13%
Explanation:
a. Denote x is the time taken for the number of pedestrian to grow from 300 to 2000. The current pedestrian is 300, the grow rate per year is 3% or 1.03 times a year. Thus, to reach 2,000, we have the equation: 300 x 1.03^x = 2000. Show the equate, we have 1.03^x = 6.67 <=> x = 64.18
b. Denote x is the time taken for the number of pedestrian to grow from 300 to 2000. The current pedestrian is 300, the grow rate per year is 8% or 1.08 times a year. Thus, to reach 2,000, we have the equation: 300 x 1.08^x = 2000. Show the equate, we have 1.08^x = 6.67 <=> x = 24.65.
c. Denote x as traffic increase rate. The current pedestrian is 300, the grow rate per year is (1+x) times a year. Thus, to reach 2,000 after 12 years and thus a new bracing system to be in place, we have the equation: 300 x (1+x)^12 = 2000. Show the equate, we have (1+x)^12 = 6.67 <=> 1+x = 1.1713 <=> x = 17.13%.
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