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
Answer:
12.25
Step-by-step explanation:
To find the c value in the equation, we need to divide b by two and then square it.
b= -7 and -7/2 is 3.5
Then we square 3.5 and we get 12.25
As we can see from the above the pattern is:
-In ascending order.
-A value of 100 is added to each new number.
The rest of the pattern will be:
3865+100. 3865+100×2. 3865+100×3
Therefore,the answer is: 3965. 4065. 4165.
Hope it helps!
So the difference of speed will be 25-17 = 8 mph the last one choice
hope helped
Answer:
to have an infinite number of solutions, the lines have to be on top of each other.....basically, they have to be the same line.
y = 3x - 1
-3x + y = -1.....multiply by -1
3x - y = 1 <== this would be ur other equation because if u put this in slope intercept form (y = mx + b), it would be the same as y = 3x - 1
Step-by-step explanation:
