You are correct, the profit is modeled by:
-0.1t² + 6t + 67
We are also told that "t" is the number of years after 2010. So in 2016, the value of t will be 6. We substitute this into the equation we formed:
-0.1(6²) + 6(6) + 67
= 106.6 thousand dollars
Answer: 6.8829172362
Explanation:
sin35=e/12
Multiply 12 on each side
12sin35=e
Answer: 3.45
Step-by-step explanation:
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The population proportion is 
The mean of the sampling distribution is 
The sample size is n = 600
Generally the standard deviation is mathematically represented as

=>
=>
Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

=> 
Now add p to both side of the inequality
=> 
=> 
Now converting the probabilities to their respective standardized score
=>
=> 
=> ![P(|p-\^{p}| > 0.03) = 1 - [P(Z \le 2.88) - P(Z \le -2.88)]](https://tex.z-dn.net/?f=P%28%7Cp-%5C%5E%7Bp%7D%7C%20%3E%20%200.03%29%20%20%3D%20%20%201%20-%20%5BP%28Z%20%5Cle%202.88%29%20-%20P%28Z%20%5Cle%20-2.88%29%5D)
From the z-table

and

So
![P(|p-\^{p}| > 0.03) = 1 - [0.9980 - 0.0020]](https://tex.z-dn.net/?f=P%28%7Cp-%5C%5E%7Bp%7D%7C%20%3E%20%200.03%29%20%20%3D%20%20%201%20-%20%5B0.9980%20-%200.0020%5D)
=> 
Even Irrational numbers are real numbers. So the question is false.