The College of Veterinary Medicine at Texas A&M University conducted a study of the rattlesnake vaccine for dogs. The researchers determined that:
•12 out of 15 cases of dogs that received the vaccine prior to the rattlesnake bite survived, and
•8 out of 18 cases of dogs who did not receive the vaccine prior to the rattlesnake bite survived.
If there were 900 dogs in the study that received the vaccine and were then bitten by a rattlesnake, how many of this group did NOT survive the rattlesnake bite?
Responses
A 720
B 400
C 180
D 500
To solve this problem, we need to find the number of dogs who received the vaccine but did not survive the rattlesnake bite.
We are told that 12 out of 15 dogs who received the vaccine survived, so the survival rate for this group is 12/15 = 0.8.
Since we know that there were 900 dogs in the study who received the vaccine and were bitten by a rattlesnake, we can calculate the number of dogs in this group who did not survive by multiplying the total number of dogs by the survival rate:
900 * (1 - 0.8) = 900 * 0.2 = 180.
Therefore, 180 dogs in this group did not survive the rattlesnake bite.
The correct answer is C) 180.