Answer:
This question is not complete.
Step-by-step explanation:
<h3>
Answer: Choice D</h3>
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How I got this answer:
We can eliminate choices A and C because an outcome of "1" is not possible. This is because the smallest outcome allowed is 4, from adding 3 and 1. If we were just focused on drawing 1 card from the second stack, then an outcome of 1 is possible.
We can also eliminate choice B because the probabilities do not add to 1. Add up all the fractions shown in table B and you'll get the following:
1/15 + 2/15 + 1/5 + 4/15 + 1/5 + 2/15 + 1/15 = 1.067 approximately
All of the probabilities must add up to 1 for a probability distribution to be possible. This is why choice C is eliminated.
The only thing left is choice D
Add up the probabilities in choice D
1/15 + 2/15 + 1/5 + 1/5 + 1/5 + 2/15 + 1/15 = 1
we get the proper result of 1
Each probability in this table is found by dividing the number of times the outcome shows up out of 15. So for example, the outcome of "4" only happens one time out of 15 total, which is why 1/15 is the probability for this outcome. The fraction 1/5 is equivalent to 3/15.
Answer:
36x - 24 / 12 = 3x-2 I think
Answer:
Let's suppose that each person works at an hourly rate R.
Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:
4*R*(15*8 hours) = 1 task.
Whit this we can find the value of R.
R = 1 task/(4*15*8 h) = (1/480) task/hour.
a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:
5*( (1/480) task/hour)*(D*6 hours) = 1 task.
We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:
D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16
D = 16
Then the 5 workers working 6 hours per day, need 16 days to complete the job.
b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.