Final answer:
The experimental probability that the next battery checked will not have a charge is 70%. Based on this, out of the next 70 batteries checked, you would expect 49 of them to not have a charge. The correct answer is A: 70%, 49 batteries.
Step-by-step explanation:
The question asks about the experimental probability that a battery will not have a charge based on previous checks and then uses that probability to estimate how many out of a new set of batteries will not have a charge. If you checked 20 batteries and found that 14 do not work, the experimental probability that the next battery you check will not have a charge is the number of batteries that do not work divided by the total number of batteries checked. This gives us 14/20, which can be simplified to 7/10 or 70%.
Using this probability, if you check 70 more batteries, you would expect the same 70% to not have a charge. To find this number, we multiply the total number of batteries by the probability: 70 batteries × 70% = 49 batteries. Therefore, the correct answer is A: 70%, 49 batteries.