Answer:
P (T) = 1/4
P ( T | F ) = 1/2 = P(F)
The events are not independent.
Step-by-step explanation:
Let F the event of picking the white ball first
P (F)= 1/2 ( picking the white ball first)
Let T be the event of getting the white ball twice,
P (T) = P( getting white ball) * P( getting white ball)
=( 1/2)*(1/2)
= 1/4
Here P(T∩F) = P(T) because the probability of getting the white balls is the same as probability of getting the white ball first both the times.
P ( T | F ) = P (T∩F)/ P(F)
= (1/4)/ (1/2)
= (1/2)
= 1/2 = P(F)
For the events to be independent the conditional probability P ( T | F ) must be equal to P(T).
Hence the events are not independent.
Answer:
Interior Angle Theorem
x=5
measure of angles: 46, 46, 134
Step-by-step explanation:
Interior angle theorem
12x-14=5x+21
7x=35
x=5
12x-14=12(5)-14=46
5x+21=5(5)+21=46
20x+34=20(5)+34=134
Set up an algebraic equation. This is what it looks like based on what the question tells you:
Let a = area of pentagon
a+27 = 4a-15
3a-15 = 27
3a = 42
a = 14
Answer:
280 degrees
Step-by-step explanation:
To change radians to degrees, we can use the conversion factor
180/pi
14 pi/9 * 180/pi
Canceling like terms
14/9 * 180
280 degrees
Answer:
The rate of change of the tracking angle is 0.05599 rad/sec
Step-by-step explanation:
Here the ship is traveling at 15 mi/hr north east and
Port to Radar station = 2 miles
Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles
Therefore the ship, port and radar makes a triangle with sides
2, 7.5 and x
The value of x is gotten from cosine rule as follows
x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04
x = 6.25 miles
By sine rule we have

Therefore,

α = Angle between radar and ship α
∴ α = 58.052
Where we put
to get
and differentiate to get
= 3.208 degrees/second = 0.05599 rad/sec.