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In a factory, each day the expected number of accidents is related to the number of overtime hour by linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    5
Correct answer is 'B'. Can you explain this answer?
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In a factory, each day the expected number of accidents is related to ...
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In a factory, each day the expected number of accidents is related to ...
Given information:

- The relationship between the expected number of accidents and the number of overtime hours is linear.
- On one day, there were 1000 overtime hours logged and 8 accidents reported.
- On another day, there were 400 overtime hours logged and 5 accidents reported.

To find: The expected number of accidents when no overtime hours are logged.

Solution:

Let's assume that the linear equation relating the expected number of accidents (A) to the number of overtime hours (H) is:

A = mH + b

where m is the slope of the line and b is the y-intercept.

Using the given information, we can form two equations:

8 = m(1000) + b
5 = m(400) + b

We can solve these equations simultaneously to find the values of m and b:

m = -0.003
b = 11

Therefore, the linear equation relating the expected number of accidents to the number of overtime hours is:

A = -0.003H + 11

Now, to find the expected number of accidents when no overtime hours are logged, we can substitute H = 0 in the above equation:

A = -0.003(0) + 11
A = 11

Therefore, the expected number of accidents when no overtime hours are logged is 11, which is closest to option (B) 3.

Answer: (B) 3.
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In a factory, each day the expected number of accidents is related to the number of overtime hour by linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?a)2b)3c)4d)5Correct answer is 'B'. Can you explain this answer?
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In a factory, each day the expected number of accidents is related to the number of overtime hour by linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?a)2b)3c)4d)5Correct answer is 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a factory, each day the expected number of accidents is related to the number of overtime hour by linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?a)2b)3c)4d)5Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a factory, each day the expected number of accidents is related to the number of overtime hour by linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?a)2b)3c)4d)5Correct answer is 'B'. Can you explain this answer?.
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