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Dima020 [189]
3 years ago
9

The half-life of caffeine in a person’s bloodstream is about 6 hours. If a person’s bloodstream contains 80 milligrams of caffei

ne, how much of that caffeine will remain after 14 hours?
Mathematics
1 answer:
Luda [366]3 years ago
5 0
To calculate the remaining caffeine, we use the radioactive decay formula which is expressed as An = Aoe^-kt where An is the amount left after t time, Ao is the initial amount and k is a constant we can calculate from the half-life information. We do as follows:
 at half-life,
ln 1/2 = -k(6)
k = 0.12/hr

An = 80e^-0.12(14)
An = 15.87 mg
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Suppose that x has a binomial distribution with n = 201 and p = 0.45. (Round np and n(1-p) answers to 2 decimal places. Round yo
ycow [4]

Answer:

a) It can be used because np and n(1-p) are both greater than 5.

Step-by-step explanation:

Binomial distribution and approximation to the normal:

The binomial distribution has two parameters:

n, which is the number of trials.

p, which is the probability of a success on a single trial.

If np and n(1-p) are both greater than 5, the normal approximation to the binomial can appropriately be used.

In this question:

n = 201, p = 0.45

So, lets verify the conditions:

np = 201*0.45 = 90.45 > 5

n(1-p) = 201*(1-0.45) = 201*0.55 = 110.55 > 5

Since both np and n(1-p) are greater than 5, the approximation can be used.

3 0
3 years ago
Please help! Especially with the steps!
wolverine [178]

Answer:a)680cu.ft

b)180cu.ft

Hope this helped you...

Step-by-step explanation:


8 0
3 years ago
I need help finding the lowest term for -8/9+11/15​
Liono4ka [1.6K]

Answer:

-7/45

Step-by-step explanation:

First, find the lowest common denominator for 9 and 15. It's 45. Make both fractions over 45 by multiplying the top and bottom by the same number.

-\frac{8}{9} +\frac{11}{15}

= -\frac{8*5}{9*5} +\frac{11*3}{15*3}  Since 15*3=45, multiply the top by 3 also.    Since 9*5=45, multiply the top by 5 also.

= -\frac{40}{45} +\frac{33}{45}

= \frac{-40+33}{45}    Combine the fractions

= -\frac{7}{45}    Answer in lowest terms

6 0
3 years ago
So confused. There is a link to the picture :)
user100 [1]
An = a1 + (n-1)d

an = 27 + (n-1)(-6)


4 0
3 years ago
Which best describes the expression b(4-n)
Maru [420]

Answer:

4b-bn

Step-by-step explanation:

3 0
2 years ago
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