The answer is 5/2 I just took the test!!! Hope I helped :)
Answer: the number is 3.
Step-by-step explanation:
(x × 10) + 6 = 36
[(3) × 10] + 6 = 36
6/5y-10=-4
move -10 to the other side
sign changes from -10 to 10
6/5y-10+10= -4+10
6/5y= 6
Mutiply by 5/6 for both sides
6/5(5/6)y=6(5/6)
Cross out 6/5 and 5/6 , divide by 5 and 6 then becomes y
Cross out 5 and 6 on the right side
x= 5
Answer : x= 5
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:
![P(A|B)=\frac{P(A \cap B)}{P(B)}](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28B%29%7D)
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.
![P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28B%29%7D%5C%5C%5C%5CP%28A%20%5Ccap%20B%29%3DP%28A%7CB%29%2AP%28B%29%5C%5C%5C%5CSubstituting%3A%5C%5C%5C%5CP%28A%20%5Ccap%20B%29%3D1%2F4%2A7%2F20%3D7%2F80%5C%5C%5C%5CP%28A%20%5Ccap%20B%29%3D7%2F80)
The first number will be 500
the second number will be 600
and the last number will be 990