Answer: There is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.
Step-by-step explanation:
Total number of students = 8
Number of student who has passed Exam P/1 = 1
Number of student who has passed Exam FM/2 = 1
No student has passed more than one exam.
According to question, exactly three students from a randomly chose group of four students have not passed Exam P/1 or Exam FM/2.
So, Probability will be

Hence, there is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.
Answer:

We divide both sides by 100000 and we got:

Now we can apply natural logs on both sides;

And then the value of t would be:

And rounded to the nearest tenth would be 9.2 years.
Step-by-step explanation:
For this case since we know that the interest is compounded continuously, then we can use the following formula:

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.
For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means
and we want to find the value for t.

We divide both sides by 100000 and we got:

Now we can apply natural logs on both sides;

And then the value of t would be:

And rounded to the nearest tenth would be 9.2 years.
Answer:
11/2
Step-by-step explanation:
5y+3=36-y
1) Subtract 3 from both sides:
5y=33-y
2) Add y to both sides:
6y=33
3) divide both sides by 6:
y=33/6
4) Simplify the fraction:
11/2