Use this app called Cymath I use it all the time it gives step by step solving
Answer: Option C.
Step-by-step explanation:
The coordinates (x,y) of a terminal point for an angle θ are:
x = cos(θ) and y = sin(θ).
In this case, we have θ = 330°.
Then we have:
x = cos(330°) = 0.866 = (√3)/2
y = sin(330°) = -0.5 = -1/2
then the coordinates of the terminal point are ((√3)/2, -1/2)
Then the correct option is c.
-45, 6.64, 44, 467
Least Greatest
Answer:
The probability is 0.3576
Step-by-step explanation:
The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.
For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773
To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649
The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.
As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576
See attachment for math work and answer.
