Step 1. <span>Simplify
33.15
Done! :) Your answer is 33.15</span>
Answer : Michael’s dock would be closer because the angle opposite is smaller
Michael and Jacob are standing on two docks that are 20 miles apart. They are watching a ship that is out in the ocean. The angle between the dock and the line connecting Michael and the ship is 48°, and the angle between the other dock and the line connecting Jacob and the ship is 37°.
Explanation:
the angle between the other dock and the line connecting Jacob and the ship is 37°. The side opposite to angle 37 will be smaller. The distance between Michael and Ship will be smaller than Jacob and ship.
So Michael’s dock would be closer because the angle opposite is smaller.
Answer:
1) The probability that the second apple is red is 0.7143 (71.43%).
2) The probability that at least one red apple is picked 0.9341 (93.41%).
Step-by-step explanation:
We can make a probability tree as the attached picture.
1) There are 2 ways in the probability tree when the second apple is red:
Both apples are red:
P(R∩R)=
=0.4945
Only the second apple is red:
P(Y∩R)=
=0.2198
The probability that the second apple is red is the sum of the previous probabilities.
P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143
2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.
The way in the probability tree is Y∩Y:
P(Y∩Y)=
=0.0659
P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341