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.
Opposite sides of a parallelogram are congruent.
3x+ 2= 4x-3
Subtract 3x from both sides
2= x -3
Add 3 to both sides
5= x
2y+7=4y-9
Subtract 2y from both sides
7= 2y -9
Add 9 to both sides
16 = 2y
Divide by 2 on both sides
8 = y
<u>Define x:</u>
Let Fred had x dollar.
Fred = x
Greg = x + 17
<u>Solve x :</u>
x + x + 17 = 85
2x + 17 = 85
2x = 68
x = 34
<u>Find the amount each of them had:</u>
Fred = x = $34
Greg = x + 17 = 34 + 17 = $51
Answer: Greg had $51
Add 16.937 and 7.5. It's basically doing the problem backwards.
Answer
Step-by-step explanation:
Let x be the fasteners
95% of x passed, and 5% of x failed
20% of the 5% which failed are defective, remaining the 80% of the failed 5%.
Now 40% of this 80% of the 5% which failed are scrapped, meaning only the remaining 60% passed second inspection.
Thus
a). The proportion ;
60% of 80% of 5% of x
mathematically
= 60/100 × 80/100 × 5/100
= 0.024 or 2.4%
b) initially 95% passed and later on 2.4% pass again. Therefore total that passed = 95%+2.4%=97.4%
c) probability that it passed on first inspection is 95/100
Percentage that went through recrimping = 80% of 5% = 80/100 × 5/100 = 1/25 or 0.04 or 4%
Thus probability of passing and not going through recrimping
= 1 - (1/25) = 0.96 or 96%
