You spin a spinner and then flip a coin. The events are independent. True or False
1 answer:
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Answer:
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Reason:
Plot the points (0,0) and (r,s). You can place (r,s) anywhere you want.
Connect the two points mentioned and form a right triangle such that the segment from (0,0) to (r,s) is the hypotenuse of said right triangle.
The horizontal leg has a length of r-0 = r units, while the vertical leg will be 's' units.
Check out the diagram below.
We then apply the pythagorean theorem to say where h is the hypotenuse. Solving for h gets us
. We only focus on the positive square root since a negative hypotenuse makes no sense.
Since we made the hypotenuse the segment with endpoints (r,s) and (0,0), this means the hypotenuse length and the distance are the same thing.
Therefore, the distance from (r,s) to (0,0) is
As an alternative, you can use the distance formula to get the same answer. The distance formula is effectively the pythagorean theorem phrased a different way.
Answer:
86.74% probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.
Step-by-step explanation:
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.
Compute the probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.
In this problem, we have that:
Event A: Completing their degree there.
There is a 34.72% chance of a student interested in a nursing degree not making it through the program.
So 100 - 34.72% = 65.28% = 0.6528 probability of completing their degree. So P(A) = 0.6528.
Event B: Getting hired
86.74% chance of getting hired full time in a hospital setting within 6 months of graduation.
Completing their degree and getting hired:
Probability:
86.74% probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.