Answer:
a) 2.9%
b) Option B is correct.
The prisoners must be independent with regard to recidivism.
Step-by-step explanation:
Probability that one prisoner goes back to prison = 17% = 0.17
a) The probability that two prisoners released both go back to prison = 0.17 × 0.17 = 0.0289 = 2.89% = 2.9% to 1 d.p
b) The only assumption taken during the calculation is that probability of one of the prisoners going back to prison has no effect whatsoever in the probability that another prisoner goes back to prison. That is the probability that theses two events occur are totally independent of each other.
If they weren't, we wouldn't be able to use 0.17 as the probability that the other prisoner goes back to prison too.
Answer:
10 gumballs
Step-by-step explanation:
Since gumballs are 20 percent of 50 pieces(or 1/5), we divide 50 by 1/5.
We then get ten as our answer.
Answer:
- 5·$3.50 +4d = $163.50
- d = $(163.50 -5·3.50)/4 = $36.50
Step-by-step explanation:
The total purchase amount is the sum of the products of the cost of an item times the number of that item. For 5 items costing $3.50 each and 4 items costing "d" each, the total purchase amount is ...
5·$3.50 +4·d = $163.50
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This is solved by undoing what is done to the variable. The variable is multiplied by 4 and a quantity added to that product. We undo these operations in reverse order.
First we subtract the added quantity:
4d = $163.50 -5·3.50 = $146.00
Then we undo the multiplication by dividing by the coefficient of d:
4d/4 = $146.0/4
d = $36.50
The cost of one pair of shoes is $36.50.