Answer:
0.0959
Step-by-step explanation:
There are 18+24+7+25=74 coins in the jar
Let's call
P(p) = 18/74 the probability of grabbing a penny
P(d) = 24/74 the probability of grabbing a dime
P(n) = 7/74 the probability of grabbing a nickel
P(q) = 25/74 the probability of grabbing a penny
What is the probability that you reach into the jar and randomly grab a dime and then, without replacement, a nickel?
Here we want to find P(n | d) the probability of grabbing a nickel given that you already grabbed a dime.
By the Bayes' Theorem
Now,
P(d | p) = 24/73 since there are now 73 coins and 24 dimes.
Similarly,
P(d | d) = 23/73 for you already grabbed a dime
P(d | n) = 24/73
P(d | q) =24/73
Replacing in the Bayes' formula
So
P(n | d) = 0.0959
The value of 1 raised to any exponent would be 1 because no matter how many times you multiply 1 and 1, it will still be one. So 1 to the power of 200 would be one because you are multiplying 1 two-hundred times.
Final Answer: The answer would be one
I attached a picture with the answer, hope this helps :)
Answer:
40 % off
Step-by-step explanation:
First you are going to 1.30, then divided that by 0.80
Answer: Ground Speed = 91 km/hr, Bearing = 189°
<u>Step-by-step explanation:</u>
Step 1: Draw a picture (see attached) to determine the angle between the given vectors. Notice that I moved the wind vector 180° <em>so the head of the wind vector would line up with the tail of the plane vector. </em>This created an angle of 34° between the plane and wind vectors. <em>Why?</em>
- the dashed line is 45°
- 79° (plane) - 45° (wind) = 34°
Step 2: Solve for the length of the resultant vector using Law of Cosines
<em>c² = a² + b² - ab cos C</em>
c² = (111)² + (25)² - (111)(25) cos 34°
c² = 12,946 - 4601
c² = 8345
c = 91
Ground speed is 91 km/hr
Step 3: Solve for the bearing of the resultant vector using Law of Sines
A = 9°
<em>Reminder that we moved the wind vector 180° to create the resultant vector so we need to add 180° to our answer.</em>
Bearing = A + 180°
= 9° + 180°
= 189°
