Title:
<h2>See the explanation.</h2>
Step-by-step explanation:
The coin is to be flipped 2000 times.
The probability of getting a head is 0.3.
It is given that, we need to get a head in between 575 and 618 times.
If we will get 575 heads then we will get (2000 - 575) tails.
Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.
The probability of not getting a head is (1 - 0.3) = 0.7.
The probability of getting n times head is .
The required probability is ∑ , where .
Answer:
x = 9
Step-by-step explanation:
I think you wrote the question wrong (I am assuming that there is a x next to the -3).
Subtract 7
-27 = -3x
divide by -3
9 = x
25% of 120
25/100×120
1/4×120
120/4
30
25% of 120 is 30
_ π/3 · sin π/6 = 1/2 · ( sin π/2 - sin π/6 )
Lets start from the right side of the equation:
1/2 · ( sin π/2 - sin π/6 ) = 1/2 · ( 1 - 1/2 ) = 1/2 · 1/2 = 1/4
So the left side must be equal:
_ π/3 · sin π/6 = 1/4
_ π/3 · 1/2 = 1/4
_ π/3 = 1/4 : 1/2 = 1/4 · 2/1 = 1/2
cos π/3 = 1/2
Answer:
cos π/3 · sin π/6 = 1/2 ( sin π/2 - sin π/6 )