We will see that the probability of picking two orange marbles without replacement is 0.23
<h3>
How to get the probability?</h3>
If we assume that all the marbles have the same probability of being randomly picked, then the probability of getting an orange marble is given by the quotient between the number of orange marbles and the total number of marbles, this gives:
P = 6/12 = 1/2
And then we need to get another orange marble, without replacing the one we picked before, this time there are 5 orange marbles and 11 in total, so the probability is:
Q = 5/11
Finally, the joint probability (of these two events happening) is the product of the probabilities, so we get:
P*Q = (1/2)*(5/11) = 0.23
If you want to learn more about probability, you can read:
brainly.com/question/251701
Answer:
<em>Direction of the boat is 43.05° and the speed is 21.66 knot</em>
<em></em>
Step-by-step explanation:
yacht speed = 20 knots
yacht bearing = 185° = 85° below the negative horizontal x-axis
wind speed = 15 knots
wind bearing = 290° = 20° above the negative horizontal x-axis
we find the x and y components of the boat velocities
for yacht,
x component = -20 cos 85° = -1.74 knots
y component = -20 sin 85° = -19.92 knots
for the wind,
x component = -15 cos 20° = -14.09 knots
y component = 15 sin 20° = 5.13 knots
total x component Vx = -1.74 + (-14.09) = -15.83 knots
total y component Vy = -19.92 + 5.13 = -14.79 knots
Resultant speed of the boat = 
==> 
= <em>21.66 knot</em>
<em></em>
direction of boat = 
==> 
= <em>43.05°</em>
Answer:
SSS
Step-by-step explanation:
Only sides are given, not angles, so you know it's side-side-side
Answer:
C is the correct answer
Step-by-step explanation:
Answer:
m∠B > m∠C > m∠A
Step-by-step explanation:
The angle opposite the largest side in a triangle is the largest, and the angle opposite the shortest side is the smallest.
