Answer:
The probability that no boats arrive is
.
Step-by-step explanation:
Poisson distribution:
Poisson distribution is a statistical distribution that helps to find out the probability of a certain is likely occur a specified period of time.

= rate.
Given that, Poisson distribution at a rate of 3 per hour.
= 3
t=2
x=0
The probability that no boats arrive is


He didn’t multiply the equation by 1/2 in the second part so it threw his whole answer off. Hope this helps
The value of k is -89
Explanation:
The given expression is 
We need to determine the output k, when the input t is -7
<u>Output k:</u>
The value of the output k can be determined by substituting the input
in the expression 
Thus, we have,

Multiplying the terms 10 and -7, we have,

Simplifying, we get,

Thus, the value of k is -89
Answer:
Tan T = 7/24
Step-by-step explanation:
Firstly, please check attachment to have a picture of the triangle we are solving.
Now, we are concerned with calculating the ratio that represents the tangent of angle T.
Mathematically, the tangent of an angle is the ratio of the length of the opposite to the length of the adjacent.
In this question, our opposite is 7 while the adjacent is 24.
Thus Tan T = 7/24