The chance of student 1's birthday being individual is 365/365 or 100%.
Then the chance of student 2's birthday being different is 364/365.
Then it's narrowed down to 363/365 for student 3 and so on until you get all 10 students.
If you multiply all these values together, the probability would come out at around 0.88305182223 or 0.88.
To get all the same birthday you'd have to the chance of one birthday, 1/365 and multiply this by itself 10 times. This will produce a very tiny number. In standard form this would be 2.3827x10'-26 or in normal terms: 0.23827109210000000000000000, so very small.
Answer:
5
Step-by-step explanation:
Answer:
v = 1/(1+i)
PV(T) = x(v + v^2 + ... + v^n) = x(1 - v^n)/i = 493
PV(G) = 3x[v + v^2 + ... + v^(2n)] = 3x[1 - v^(2n)]/i = 2748
PV(G)/PV(T) = 2748/493
{3x[1 - v^(2n)]/i}/{x(1 - v^n)/i} = 2748/493
3[1-v^(2n)]/(1-v^n) = 2748/493
Since v^(2n) = (v^n)^2 then 1 - v^(2n) = (1 - v^n)(1 + v^n)
3(1 + v^n) = 2748/493
1 + v^n = 2748/1479
v^n = 1269/1479 ~ 0.858
Step-by-step explanation:
The value of the given expression is 
Solution:
Given expression is 
.
Let us first convert mixed fraction into improper fraction.
Substitute this in the given expression.
To simplify the above expression, 21 and 60 are cancelled by 3.
Do cross multiplication to make the denominator same.
The value of the given expression is
Answer:
The answer is 450
Step-by-step explanation:
I got this equation:
x- the speed in which the turtle walks
5x+5(x+10)=4.5x+150+x*(150)/(x+10)
I got x=40, x=-50/11, but you can't have negative speed, so the turtle's speed is 40 meters per hour. After that, I just plugged in x onto one of the expressions and got 450.
