Answer:
B.) P(A/B) = P(A)
Step-by-step explanation:
If two events, A and B are independent:
We have that:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
Since they are independent:
Then
So
, or either:
, and thus, the correct answer is given by option B.
We know that there are 3 feet in one yard. So, to find out how many yards is equivalent to 16 feet, we must divide this number by 3.
16/3 or 5 1/3
Therefore, 16 feet is equal to 16/3 or 5 1/3 yards.
Hope this helps!
<h2>
Explanation:</h2><h2>
</h2>
Here we need to set a system of two linear equations in two variables. So:
- <em>The sum of digits in a two digit number formed by two digits from 1 to 9 is 8:</em>
Let 
be those digits, then:
- <em>If 9 is added to a number then both the digits become equal. find the number:</em>
<em />
<em />
<em />
<em />
But from eq 1:
Substituting y into the expression 1:
The x-value will be found by hit and trial, so:
We have to reject this solution because digits are different.
We have to reject this solution because digits are different.
<em>Then this is a two digit number formed by two equal digits. </em>
Finally, the number is:
44
2 +3 + 7 + 5 = 17 which in mixed numbers is 4 integers 1/4
Answer:
B
Step-by-step explanation:
The equation of quantities in direct proportion is of the form
y = kx ← k is the constant of proportionality
The only equation in this form is y = 3x → B
