Answer:
7/80
Step-by-step explanation:
Given that: P(B) = 7 / 20, P(A|B)= 1 / 4
Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:
Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.
Answer:
1/12
Step-by-step explanation:
3/4=9/12
12/12-9/12=3/12
(3/12)/3=1/12
Answer:
it took her 54 mins to finish her walk.
Step-by-step explanation:
Given;
total distance walked by Katie, d = ⁵/₆
time taken to walk ¹/₆ mile = 10 mins
break time = 1 min
There are five ¹/₆ mile in the total distance which is ⁵/₆ miles.
Time for the first ¹/₆ mile = 10 mins +
break time = 1 min
Time for the second ¹/₆ mile = 10 mins +
break time = 1 min
Time for the third ¹/₆ mile = 10 mins +
break time = 1 min
Time for the fourth ¹/₆ mile = 10 mins +
break time = 1 min
Time for the fifth ¹/₆ mile = 10 mins
Total time = 5 (10 mins) + 4 (1 min)
= 50 mins + 4mins
= 54 mins
Therefore, it took her 54 mins to finish her walk.
Answer:
Step-by-step explanation:
Let x represent the number of stamps from Europe.
Let y represent the number of stamps from Africa.
Let z represent the number of stamps from Asia.
She has 47 stamps in all. This means that
x + y + z = 47 - - - - - - - - - - - 1
The number of African stamps is 2 times the number of Asian stamps. This means that
y = 2z
She has 20 stamps from Europe. Therefore, substituting x = 20 and y = 2z into equation 1, it becomes
20 + 2z + z = 47
3z = 47 - 20 = 27
z = 27/3 = 9
y = 2z = 2 × 9
y = 18
She has 20 stamps from Europe, 18 stamps from Africa and 9 stamps Asia.