Answer:
A
Step-by-step explanation:
Using the cosine ratio
cos T =
=
=
→ A
The triangle ANM is similar to triangle ACB. That means they share the same angles. Both AMN and ANM are 75.
Answer:
x=-3/4 y=15/4
Step-by-step explanation:
Answer:
- The probability that the locker code begins with a prime number is 40%.
- The probability that the last digit of the locker code is an odd number is 40%
Step-by-step explanation:
- Prime numbers are the numbers that only divide with 1 or itself. So in this case it is 5 and 7.
The possible combinations are
1*4*3 (with 5) + 1*4*3(with 7) = 24
Total combinations are 5*4*3=60
(24/60)*100 = 40 %
2. Odd numbers are those which don't divide with 2. So in this case it is 6 and 8.
The possible combinations are
1*4*3 (with 6) + 1*4*3(with 8) = 24
Total combinations are 5*4*3=60
(24/60)*100 = 40 %
Answer:
0.58 = 58% probability she passes both courses
Step-by-step explanation:
We can solve this question treating the probabilities as a Venn set.
I am going to say that:
Event A: She passes the first course.
Event B: She passes the second course.
The probability she passes the first course is 0.67.
This means that 
The probability she passes the second course is 0.7.
This means that 
The probability she passes at least one of the courses is 0.79.
This means that 
a. What is the probability she passes both courses
This is
.
We use the following relation:

So

0.58 = 58% probability she passes both courses