7.38 is 7.5 % of what ?

1 answer:

4 0

<span>the answer of the question 7.5 % means 7.5/100, so, to find the result we solve the following equation: (7.5 / 100 )X=7.38, this implies X= 738 / 7.5= 98.4, so finally, 7.38 is 7.5% of 98.4. Proof: let’s find the 7.5% of 98.4. That is to compute 98.4 *7.5/100 = 7.38. Hope this helps. Let me know if you need additional help!</span>

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Find the missing probability. P(B)=720,P(A|B)=14 ,P(A∩B)=?

Ivan

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:

$P(A|B)=\frac{P(A \cap B)}{P(B)}$

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.

$P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80$