Using conditional probability, it is found that there is a 0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.
<h3>What is Conditional Probability?</h3>
- <em>Conditional probability</em> is the <u>probability of one event happening, considering a previous event</u>. The formula 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 problem, the events are:
- Event A: Patient has Medicare.
- Event B: Patient has Medicaid.
For the probabilities, we have that:
- 35% of the patients have Medicare, hence
.
- Of those who have Medicare, there is a 10% chance they also have Medicaid, hence
.
Then, applying the <em>conditional </em>probability:




0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.
You can learn more about conditional probability at brainly.com/question/14398287
<span>Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. the absolute value of a number is negative.</span>
3 + 5x ≤ 8 is how this would be displayed in numbers.
To solve, we treat this like an algebraic equation.
Subtract 3 from both sides.
5x ≤ 5
Divide both sides by 5.
x ≤ 1
The value of x is less than or equal to 1 to make the inequality true.
Answer:
the first one
Step-by-step explanation:
Answer:
<u>## Profit/Loss = </u>
<u></u>
<u>## 29 tickets</u>
Step-by-step explanation:
Profit/Loss is Revenue - Cost
For the fundraisers:
Revenue comes from tickets sold at $14 each
x tickets sold, means the revenue is:
14x
Now, cost is what they are going to give out, that is $400 TV Set, so the cost is:
400
Hence, Profit/Loss would be:
<u>Profit/Loss = </u>
<u></u>
<u></u>
Raffle sales equaling the cost of prize is basically when we break-even, or when profit/loss is equal to 0. So we solve the equation:
Profit/Loss = 14x - 400
0 = 14x - 400
14x = 400
x = 28.57
We can't sell fractional tickets, so we have to sell 29 tickets in order to break even