I believe it’s 150 feet per minute
Well, the problem is that he does not replace the first marble after he draws it. Therefore, yes, he has a 2/12 probability of drawing a yellow marble first, but then he has a 4/11 probability of drawing a red marble second, not 4/12. This is because there are going to only be 11 marbles left in the bag after he draws the first marble and does not replace it.
The correct answer would be:
(2/12)(4/11)=8/132=4/66=2/33
X-Axis > Positive, 6 Units
Y-Axia > Negative, 2 Units
To get from point A to point A' you need to move 6 units right (positive) and 2 units down (negative)
Plug in random values for x and find y value
assume x = 10 then y = 430
Express as ordered pair:(10,430)
Answer:
{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)
Step-by-step explanation:
From this equation 4x − y = 3
-y = 3 - 4x
then, y = 4x - 3
From line equation y = mx + b
Therefore, the slope is 4
Since the are parallel line, they will have same slope
Finding the derivative of y = 2 + 2e^x − 4x
y = 2 + 2e^x − 4x
y' = 0 + 2e^x - 4
Therefore,
4 = 2e^x - 4
4 = e^x
x = ln 4 = 1.39
To find the y coordinate
y = 2 + 2e^x − 4x
y = 2 + 2e^ln 4 − 4 ln 4
y = 4.45
Hence, they are parallel at point (1.39 and 4.45)