Answer:
Your answer is 37.
Step-by-step explanation:
What you do is add up all the numbers and that equals 296 then divide your answer by how many numbers there are which is 8. So do 296 divided by 8 that equals 37 and that's your answer
-4 < 4(6y - 12) - 2y
<em><u>Distributive property.</u></em>
-4 < 24y - 48 - 2y
<em><u>Combine like terms.</u></em>
-4 < 22y - 48
<em><u>Add 48 to both sides.</u></em>
44 < 22y
<em><u>Divide both sides by 22.</u></em>
2 < y
The value of y is greater than the value of 2.
When u keep dividing and dont get it go up by each number and keep divind by every number until u get it which would be
Answer:
The magnitude is 
The direction is
i.e toward the x-axis
Step-by-step explanation:
From the question we are told that
The function is 
The point considered is 
Generally the maximum rate of change of f at the given point and the direction is mathematically represented as
![\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]](https://tex.z-dn.net/?f=%5CDelta%20f%28x%2Cy%29%20%3D%20%20%5B%5Cfrac%7B%5Cdelta%20%20%289sin%28xy%29%29%7D%7B%5Cdelta%20x%7D%20i%20%20%2B%20%5Cfrac%7B%5Cdelta%20%20%289sin%28xy%29%29%7D%7B%5Cdelta%20y%7D%20i%20%20%20%5D)
![\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]](https://tex.z-dn.net/?f=%5CDelta%20f%28x%2Cy%29%20%3D%20%5B9y%20cos%20%28x%2Cy%29%20i%20%2B%20%209xcos%20%28x%2Cy%29%20j%5D)
At 
![\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]](https://tex.z-dn.net/?f=%5CDelta%20%20f%20%280%2C8%29%20%3D%20%20%5B9%288%29%20cos%280%2A%208%29i%20%20%2B%209%288%29%20sin%280%2A%208%29j%20%20%5D)

Answer:
21.77% probability that the antenna will be struck exactly once during this time period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:

Find the probability that the antenna will be struck exactly once during this time period.
This is P(X = 1).


21.77% probability that the antenna will be struck exactly once during this time period.