Answer:
Therefore, the probability is P=1/84.
Step-by-step explanation:
We have a bag contains 3 red and 6 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty.
We conclude that in a bag have 9 tokens.
We calculate the probability that the red tokens are drawn consecutively.
We calculate the number of possible combinations:

Number of favorable combinations is 1.
Therefore, the probability is P=1/84.
There will be excactly 400 fiction books. The ratio of fiction to all is 4 to 9, or 4 to 900.
Answer:13
Step-by-step explanation:
2(7)-3
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.