An experiment has four equally likely outcomes: E1, E2, Es, and E.Round your answers to three decimal places. a. What is the pro
1 answer:
Answer:
a. 0.25
b. 0.50
c. 0.75
Step-by-step explanation:
P(E1) = 0.25
P(E2) = 0.25
P(Es) = 0.25
P(E) = 0.25
a. Since there are 4 outcomes with the same probability of occurring, the probability of E occurring is:
b. The probability of any two outcomes occurring is twice the probability of a single outcome occurring
c. The probability of any three outcomes occurring can be written as 100% minus the probability of the remaining outcome occurring
You might be interested in
Given:
The function is:
To find:
The value of .
Solution:
We have,
Putting , we get
On combining like terms, we get
Therefore, the required function is .
Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
Now we can apply the quadratic formula
where a=-16, b=122, and c=198
or 
or 
or 
Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
Lets replace the values into the the vertical motion formula to get:
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
Now we can apply the quadratic formula
Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.