Answer: The speed is 105 miles/ hr and the direction of the train would be East if the girl is the frame of reference.
Step-by-step explanation:
Since we have given that
Speed of train = 100 miles per hour
Speed of girl = 5 miles per hour
Since the girl is moving towards the back of train.
So,it means train and girl are moving in opposite direction.
So, Relative speed would be

Hence, the speed is 105 miles/ hr and the direction of the train would be East if the girl is the frame of reference.
The tree diagram of the problem above is attached
There are four outcomes of the two events,
First test - Cancer, Second Test - Cancer, the probability is 0.0396
First test - Cancer, Second Test - No Cancer, the probability is 0.0004
First test - No Cancer, Second Test - There is cancer, the probability is 0.0096
First test - No cancer, Second Test - No cancer, the probability is 0.9054
The probability of someone picked at random has cancer given that test result indicates cancer is

The probability of someone picked at random has cancer given that test result indicates no cancer is
He sells it at $80 which gives him a profit of $5!
7.8335 is a number between 7.833 and 8.834
Answer:
15°
Step-by-step explanation:
The line in the middle of the triangle divides it into two triangles. These two triangles are equal. You can see this because the given angle (90°) is equal for both sides, and the bottom sides (23) are also equal to each other.
Since the triangles are equal, this means that the given angle of 75° also applies to the other side. The total degrees a triangle can have is 180°. Use the given angles to solve for the unknown angle.
75° + 90° + x = 180°
165° + x = 180°
x = 15°
The angle measure will be 15°.