Answer:
0.368
Step-by-step explanation:
Number of red marbles= 3
Number of blue marbles= 4
Number of green marbles= 7
Total number of marbles= 3+4+7= 14
Let the first ball is taken out to be red
P(R)=
than again a second ball is drawn, number of balls left= 14-1=13
Number of red= 2
P(R)=
Total probability=
+
Total probability= 0.368
Hence, the correct answer is 0.368
Answer:
5/14
Step-by-step explanation:
The total number of cards is 8
There are 5 blue cards
P(1st card is blue) = blue/total = 5/8
We take away a blue card
The total number of cards is 7
There are 4 blue cards
P(2nd card is blue) = blue/total = 4/7
The probability of blue blue is P(blue blue ) =
P(1st card is blue)*P(2nd card is blue) =
5/8* 4/7
20/56
We can divide the top and bottom by 4
5/14
Answer:
A
Step-by-step explanation:
First, find the y-intercept by seeing where the line goes through the y-axis
This is at (0, -2) so the y-intercept is -2.
Then, use rise over run to find the slope.
The slope is -3
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Given the rate at which water enter the pool W(t). To calculate the amount of water that has entered the pool over these five minutes, we integrate W(t) over the interval t = 0 to t = 5.
![Amount\ of \ water=\int\limits^0_5 {W(t)} \, dt \\\\\\Amount\ of \ water=\int\limits^0_5 {(1+3t)} \, dt \\\\\\Amount\ of \ water=[t+1.5t^2]_0^5\\\\\\Amount\ of \ water=42.5\ gallons](https://tex.z-dn.net/?f=Amount%5C%20of%20%5C%20water%3D%5Cint%5Climits%5E0_5%20%7BW%28t%29%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D%5Cint%5Climits%5E0_5%20%7B%281%2B3t%29%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D%5Bt%2B1.5t%5E2%5D_0%5E5%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D42.5%5C%20gallons)
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Find out more on integration at: brainly.com/question/23976638