Answer: 0 0769
Step-by-step explanation:
Let x be the number of students that offer both subjects
15 - x + x + 13 - x + 9 = 26
-x + 37 = 26
-x = -11
x = 11
Number of student that offer english but not math = 13 - 11 = 2
The probability of english but not math = 2/26 = 0.0769
Answer:
0.3571 or 35.14%
Step-by-step explanation:
There are 15 children in total in the class at first. Of those children, 5 are second graders and 10 are not.
If the first chosen children was not a second grader, there are 5 second graders among the 14 children left. The probability of selecting a second grade child is:

The probability is 0.3571 or 35.14%.
The last equation is the most suitable one to be solved by completing the square .
Answer: 1144
Step-by-step explanation:
Given: Machine A makes 7 parts every 10 minutes.
i.e. it makes
parts in 1 minute.
Machine B makes 16 parts every 15 minutes.
i.e. it makes
parts in 1 minute.
On Monday,
machine A makes parts for 12 hours(720 minutes). [1 hour = 60 minutes, 12 hours = 12 x 6 = 720 minutes]
i.e. Total parts made = 
i.e. Total parts made = 504
machine B makes parts for 10 hours(=60x 10=600 minutes)
i.e. Total parts made = 
i.e. Total parts made = 640
Total parts made by both machines = 504+640 =1144
Hence, the total number of parts made by the two machines on Monday=1144.