Answer:
The expected number of ducks that escape unhurt is:
5
Step-by-step explanation:
First the process is binomial process. Having said this, we have 10 hunters, and 10 ducks flying overhead while the hunter take their shot at the same time.
By expected value, we mean average or mean. And the mean of a binomial distribution is:
Mean => E(x) = np.
We must also know that there is only two probability possibilities:
1. The hunter hits the duck (p)
2. The hunter misses the duck (1-p) = q.
Hence;
p = 1/2, and (1-p) = 1/2.
Therefore;
E(x) = np; where n is the total number of hunter.
E(x) = 10*(1/2) = 5
The expected number of ducks that escape unhurt is 5
Answer:
28.5 acres
Step-by-step explanation:
95 acres total
30% is being used for trees
95 acres * .3 = 28.5 acres
Using exponential functions, it is found that:
a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying <em>exponential function</em> is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- Caffeine metabolize at a rate of 13% per hour, hence
.
Then:



Item a:
The coffee cup contains 150 milligrams of caffeine, hence
.
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).



Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering <u>A(11) = 50</u>, hence:



The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at brainly.com/question/25537936
1. 2² times 7¹
2. 2² times 3²
3. 29 is a prime number already
4. 2¹ times 5¹ times 7¹
5. 5¹ times 11¹
6. 3⁴
7. 2³ times 3¹ times 7¹
8. 3² times 11¹
9. 3¹ times 5²
10. 2⁶