Answer:
∴35.97 mg caffeine would be left in the system after 5 hours.
Step-by-step explanation:
Given that,
A cup of coffee has approximately 310 mg of caffeine.
Caffeine decrease at a rate 35% per hour.
Exponential Function:
![y(t)=y_0(1-r)^t](https://tex.z-dn.net/?f=y%28t%29%3Dy_0%281-r%29%5Et)
y(t)= Amount caffeine after t hours
= Initial amount of caffeine
r= rate of decrease
t = Time in hour.
Here y(t)=?,
= 310 mg, r=35%=0.35, t= 5 hours
![y(t)=310(1-0.35)^5](https://tex.z-dn.net/?f=y%28t%29%3D310%281-0.35%29%5E5)
=35.97 mg
∴35.97 mg caffeine would be left in the system after 5 hours.
Answer:
independent
Step-by-step explanation:
, it has no effect on the number of red socks so thewhen he draws out a sock the event is not affected by the draw a blue sock or the bla ck sock or the brown sock
Answer: A, because it is a 30, 60, 90 triangle. To get the 34 they had to times the number by 2 so you divide that by 2 and it gives you 17 then you have the square root of 3* 17, that doesn’t mathematically work so it stays as 17*the square root of 3
Answer:
![P=\frac{6}{11}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B6%7D%7B11%7D)
Step-by-step explanation:
The probability can be defined as the ratio between the possible events and the total number of outcomes.
In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.
Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.
Therefore, the probability is
![P=\frac{6}{11}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B6%7D%7B11%7D)
The right answer is the last choice.