Answer:
Step-by-step explanation:
Since the amount if Caffeine decreases by 12% an hour, that is the same as a multiplier of 0.88 per hour.
r = ln 0.88 = -0.117833371
10 = 120 e^-0.117833371t
10/120 = e^-0.117833371t
0.8333 = 10/120
ln0.8333 = -2.48490665 so
e^-2.48490665 = e^-0.117833371t and so
-2.48490665 = -0.117833371t
-2.48490665/-0.117833371 = t
21.08830995 hrs = t
thus 21 hrs is your best answer.
Answer:
-4.99
1.9435
3.25E4
1.56e-9
Step-by-step explanation:
Answer:
y = -6x + 2
Step-by-step explanation:
To find the slope, you do rise/run. To get to one point from another, you move one unit to the right, and six units down.
Now to find the y-intercept, you need to identify the point that meets in the y-axis. That would be 2.
Hope this helps!
Answer:
Step-by-step explanation:
For this case we have the following distributions given:
The expected value for x is
And the variance
The expected value for x is
And the variance
We define a new random variable:
We need to find the expectd value and the variance for W.
For the expected value we have this:
And if we replace the parameters we got:
Now foe tha variance of W we know that X and Y are indpenendet variable so then
For this case we can use the property that is a is a constant and X a random variable then , and we got this:
And if we replace we got: