Answer: the two numbers are 6 and 11.
Set up the individual equation according to the verbal statements:
<em>A positive number is 5 less than another positive number:</em>
a = b - 5 (this also implies that a<b)
<em>Six times the lesser number minus 3 times the greater number is 3. </em>
<em>Find the two positive numbers.</em>
This is a system of linear equations - solve for a and b:
<em></em>
Answer:
Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.
Step-by-step explanation:
This can be formulated as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
In this problem, we have:
What is the probability of the consumer using a plastic card, given that the consumer is 18 to 24 years old.
The problem states that the probability that a consumer uses a plastic card when making a purchase is .37, so
P(A/B) is the probability that the consumer being 18 to 24 years old, given that he uses a plastic card. The problem states that this probability is .19. So
P(A) is the probability that the consumer is 18 to 24 years old. There is a .81 probability that the consumer is more than 24 years old. So there is a .19 probability that he is 18 to 24 years old. So
The probability is
Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.