Answer:
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
||Vel_jet_r|| = 465.993 mph
Step-by-step explanation:
We need to decompose the velocity of the wind into a component that can be added (or subtracted from the velocity of the jet)
The velocity of the jet
500 mph North
Velocity of the wind
50 mph SouthEast = 50 cos(45) East + 50 sin (45) South
South = - North
Vel_ wind = 50 cos(45) mph East - 50 sin (45) mph North
Vel _wind = 35.35 mph East - 35.35 mph North
This means that the resulting velocity of the jet is equal to
Vel_jet_r = (500 mph - 35.35 mph) North + 35.35 mph East
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
An the jet has a magnitude velocity of
||Vel_jet_r|| = sqrt ((464.645 mph)^2 + (35.35 mph)^2)
||Vel_jet_r|| = 465.993 mph
It is b. 48 because f(x) is 3
The top half is called the numerator.
The bottom is called the denominator.
Answer:
(a) 0.1719
(b) 0.3504
Step-by-step explanation:
For every coin the number of heads follows a Binomial distribution and the probability that x of the 10 times are heads is equal to:
Where n is 10 and p is the probability to get head. it means that p is equal to 0.5 for the fair coin and 0.3 for the biased coin
So, for the fair coin, the probability that the number of heads is less than 4 is:
Where, for example, P(0) and P(1) are calculated as:
Then, 
, so there is a probability of 0.1719 that you conclude that the coin is biased given that the coin is fair.
At the same way, for the biased coin, the probability that the number of heads is at least 4 is:
Where, for example, P(4) is calculated as:
Then, 
, so there is a probability of 0.3504 that you conclude that the coin is fair given that the coin is biased.
Answer:
(2,-9)
Step-by-step explanation:
A reflection around the x-axis implies keeping the x-coordinate as it its (no change in its numerical value), while using the exact opposite of the numerical value of the y coordinate.
In our case then:
X coordinate unaltered = 2 stays as 2
Y coordinate opposite of the original value: 9 changes to "-9"
Therefore the coordinates of point A' are: (2,-9)
