Answer:
f(-5)=-5
f(0.4)=0.4
Step-by-step explanation:
Fill in -5 and 0.4 for x in f(x)
Answer:
Length of the rectangle = 9.58 feet and width = 27.14 foot
Step-by-step explanation:
Let the length of the rectangular area is = x feet
and the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 260
y =
-------(1)
Cost to fence the three sides = $3 per foot
Therefore cost to fence one length and two width of the rectangular area
= 3(x + 2y)
Similarly cost to fence the fourth side = $14 per foot
So, the cost of the remaining length = 14x
Total cost to fence = 3(x + 2y) + 14x
Cost (C) = 3(x + 2y) + 14x
C = 3x + 6y + 14x
= 17x + 6y
From equation (1)
C = 
Now we take the derivative,
C' = 17 - 
To minimize the cost of fencing,
C' = 0
17 -
= 0
= 17


x = 9.58 foot
and y =
y = 27.14 foot
Using the Poisson distribution, the probabilities are given as follows:
A. 0.0888 = 8.88%.
B. 0.1354 = 13.54%.
C. 0.8646 = 86.46%.
<h3>What is the Poisson distribution?</h3>
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

The parameters are:
- x is the number of successes
- e = 2.71828 is the Euler number
is the mean in the given interval.
Item a:
10 hours, 2 calls per hour, hence the mean is given by:
.
The probability is P(X = 20), hence:


Item b:
1 hour, hence the mean is given by:

The probability is P(X = 0), hence:


Item c:
The probability is:

More can be learned about the Poisson distribution at brainly.com/question/13971530
#SPJ1
Answer:
-1/3 or -2/6
Step-by-step explanation:
First, you pick two points, I did (-5,10) and (1,8). Then, because slope is y(2)-y(1)/ x(2)-x(1), the equation would be 8-10/1-(-5) which equals -2/6 which simplifies into -1/3.
(hope this helps!)