Answer:
104.6 deg, 75.4 deg
Step-by-step explanation:
One angle measures x.
The other angle measures 29.2 deg less than x, so it measures x - 29.2.
They are supplementary angles, so the sum of their measures is 180 deg.
x + x - 29.2 = 180
2x - 29.2 = 180
2x = 209.2
x = 104.6
x - 29.2 = 75.4
Answer: 104.6 deg, 75.4 deg
Answer: a) 0.9961, b) 0.9886
Step-by-step explanation:
Since we have given that
Probability that does not show up = 0.10
Probability that show up = 0.90
Here, we use "Binomial distribution":
n = 125 and p = 0.90
Number of passengers that hold in a flight = 120
a) What is the probability that every passenger who shows up can take the flight?

(b) What is the probability that the flight departs with empty seats?

Hence, a) 0.9961, b) 0.9886
The answer is 95.
First: find the area if the whole rectangle. To do so you would multiply lxw (10x12)
Second: you would find the area of the square. Squares have perfect sides so you would multiply 5x5.
Last: take the sums of both equations. So the it would be 120-25=95.
Answer:y 43
Step-by-step explanation:
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