Answer:
a.) 0.7063
b.) 23
Step-by-step explanation:
a.)
Let X be an event in which at least 2 students have same birthday
Y be an event in which no student have same birthday.
Now,
P(X) + P(Y) = 1
⇒P(X) = 1 - P(Y)
as we know that,
Probability of no one has birthday on same day = P(Y)
⇒P(Y) = 
where there are n people in a group
As given,
n = 30
⇒P(Y) = 
= 0.2937
∴ we get
P(X) = 1 - 0.2937 = 0.7063
So,
The probability that at least two of them have their birthdays on the same day = 0.7063
b.)
Given, P(X) > 0.5
As
P(X) + P(Y) = 1
⇒P(Y) ≤ 0.5
As
P(Y) =
We use hit and trial method
If n = 1 , then
P(Y) = 
= 1 
0.5
If n = 5 , then
P(Y) = 
= 0.97 0.5
If n = 10 , then
P(Y) = 
= 0.88 0.5
If n = 15 , then
P(Y) = 
= 0.75 0.5
If n = 20 , then
P(Y) = 
= 0.588 0.5
If n = 22 , then
P(Y) = 
= 0.52 0.5
If n = 23 , then
P(Y) = 
= 0.49 0.5
∴ we get
Number of students should be in class in order to have this probability above 0.5 = 23
The other quantity which might be of interest is initial velocity
<h3>What is maximum height?</h3>
The maximum height of the object can be defined as the highest vertical position along its trajectory line.
The range of the projectile is also known as the horizontal displacement of the projectile. It is largely dependent on the initial velocity of the object.
If;
- v is the initial velocity
- g = acceleration due to gravity
- H = maximum height in meters
- θ = angle of the initial velocity from the horizontal plane (radians or degrees).
Maximum height of projectile is given by the formula:
From this, we can deduce that another quantity of interest is initial velocity
Thus, the other quantity which might be of interest is initial velocity
Learn more about maximum height here:
brainly.com/question/12446886
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The answer to your question would be 10.5
Because 3/2 = 1/2 and 1/2 = 0.5 so nine plus 3/2 would equal 10.5 make sense?
Well if youre trying to simplify it then the answer would be x=12/13 or in decimal form 0.923076
