In a parallelogram, opposite angles are congruent and consecutive angles are supplementary.
3x - 15 = 2x + 24
3x - 2x = 24 + 15
x = 39 <===
The missing angle is 49 :)
Answer:
third side is 4
Step-by-step explanation:
using Pythagoras theorem,
(√33)² + l² = 7²
33 + l² = 49
l² = 49 - 33
l² = 16
l = √16
l = 4
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