The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with a half-life of appro
ximately 6 hours. That is, every 6 hours, the amount of caffeine in the body decreases by 50%. Charlotte wants to go to sleep at 11 pm and does not want more than 20 milligrams (mg) of caffeine in her system at that time. What is the latest time Charlotte can drink a 2-ounce shot of espresso that contains 80 mg of caffeine?
A. 5 am
B. 11 am
C. 11:30 am
D. 12 pm
A. 5 am
B. 11 am
C. 11:30 am
D. 12 pm
2 answers:
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Answer:
option D. 4.7 x 10-4 m
Step-by-step explanation:
<u><em>The correct question is</em></u>
• cell P: 5.0 x 10-4 meters
• cell Q: 3.0 x 10-5 meters
we have
The diameter of cell P is
The diameter of cell Q is
Rewrite the diameter of cell P as
Find the difference
Rewrite the difference as
Answer:
405
Step-by-step explanation:
To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.
The values that are given are p = 0.84 and E = 0.03.
You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.
(1 - 0.9) = 0.1/2 = 0.05
invNorm(0.05, 0, 1) = 1.645
You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16
Plug the values into the equation and solve for n.
Round up to the next number, giving you 405.