A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to c
hange at the correct rate in order to keep the rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let’s assume the rocket rises vertically and its speed is 600 ft/s when it has risen 3000 ft.(a) How fast is the distance from the television camera to the rocket changing at that moment?(b) If the television camera is always kept aimed at the rocket, how fast is the camera’s angle of elevation changing at that same moment?
1 answer:
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Answer:
And if we use the permutation formula given by:
And replacing we got:
Step-by-step explanation:
For this problem we want to find the following expressionÑ
And if we use the permutation formula given by:
And replacing we got:
Answer:
P = 0.300 or 30%
Step-by-step explanation:
There are two possibilities for a player to test positive:
1-) He does not take steroids (95%) with a 12% chance of testing positive:
P= 0.95 x 0.12
2-) He does take steroids (5%) with a 98% chance of testing positive:
P= 0.05 x 0.98
So the probability that a player tests positive is:
P = 0.95 x 0.12 + 0.05 x 0.98 =0.163
Therefore, the probability that a soccer player who tests positive takes steroids is: