Based on the information below, what are the values of x and y of the solution to the system of equations used to
1 answer:
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Answer:
P(A and B) = 0.1 = 10%
Step-by-step explanation:
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.
In this question, we have that:
What is P(A and B)?
P(A and B) = 0.1 = 10%
Jen take x hours.
Carl (x-3)hours.
Jen+carl take two hours;
This means;
In 1 hour, for they work
=
=
Working together, they take two hours;
Take reciprocal of above equation and equate to two;
=
-3x=4x-6
-x-6x+6=0
x(x-1)-6(x-1)=0
(x-6)(x-1)=0
Take the bracket x-6=0 so that Carl works positive hours
x-6=0
x=6
Carl (x-3)hours.
Jen+carl take two hours;
This means;
In 1 hour, for they work
=
=
Working together, they take two hours;
Take reciprocal of above equation and equate to two;
=
x(x-1)-6(x-1)=0
(x-6)(x-1)=0
Take the bracket x-6=0 so that Carl works positive hours
x-6=0
x=6