Answers
====================================================
Explanation:
The Poisson PDF value is given by the function
P(x) = ( e^(-mu)*mu^x )/(x!)
where the exclamation mark indicates a factorial
In this case, mu = 4, so we can update the equation into
P(x) = ( e^(-4)*4^x )/(x!)
Now plug in x = 3 to finish off the problem
P(x) = ( e^(-4)*4^x )/(x!)
P(3) = ( e^(-4)*4^3 )/(3!)
P(3) = 0.1953668148129
P(3) = 0.20
Note: The 'e' is a special constant which is approximately e = 2.718, similar to how pi = 3.14 is a constant used often.
Related Questions
Algebra 1 Final Exam 2020
A repair bill for your car is $850. The parts cost $325, and the labor cost is $55 per hour. What is the context of the slope?
Answers
Write the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5).
Answers
Answer:
y = 2/5x - 3
Step-by-step explanation:
First, we have to know what the slope is. Being perpendicular to -5/2, the slope becomes 2/5.
Then, you substitute the slope and given point into the equation to find the y-intercept.
y = 2/5x + b
(-5) = 2/5(-5) + b
(-5) = (-2) + b
b = -3
So, the equation is
y = 2/5x - 3
The equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.
We have the Equation,
y= -5/2x + 1
Here, the slope is -5/2.
Since perpendicular line have negative reciprocal of the slope of the given line.
So, the slope of the line perpendicular is 2/5.
Using point-slope form of the equation to find the equation of the perpendicular line.
The point-slope form is given by:
y - y1 = m(x - x1)
Using the point (-5, -5) and the slope 2/5,
y - (-5) = 2/5(x - (-5))
y + 5 = 2/5(x + 5)
y + 5 = 2/5x + 2
y = 2/5x - 3
Therefore, the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.
Learn more about Slope here:
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Evaluate the expression 5a + 12b for a = 5 and b = 12
PLEASE PLEASE help!
Answers
Answer:
I think the answer is 169
need answers ASAP.
Answers
Answer: If you have solved to get x=6 just plug that back into the problem. You get 50
Step-by-step explanation:
Answer:
[tex]x = 6[/tex]
[tex]AB = 50[/tex]
Step-by-step explanation:
Since [tex]B[/tex] is the midpoint of [tex]\overline A \overline C[/tex], [tex]AB[/tex] and [tex]BC[/tex] are equal in length.
[tex]AB=BC[/tex]
[tex]4x+26 = 6x+14[/tex]
[tex]12=2x[/tex]
[tex]x=6[/tex]
To find the length of [tex]AB[/tex], we can use substitution:
[tex]AB=4x+26[/tex]
[tex]=4(6)+26[/tex]
[tex]=50[/tex]
∴[tex]AB = 50[/tex]
Hope this helps
The area of a square depends on the length of its sides. Answer the questions below
regarding the relationship between the area of the square and the length of one side
of the square.
Answers
Answer:
The independent variable, x, represents the length of one side of the square, and the dependent variable is the the area of the square, because the the area of the square depends on the length of one side of the square.
A function relating these variables is D(x) = x^2.
So D(6) =36, meaning if 6 is the length of one side then 36 would be the area of the square.
Step-by-step explanation:
The question clearly stated that the area depends on the side length, making the side length the independent variable.
The formula for the area of a square is the side length squared.
Have a good day :)
The relationship between them is the formula for the area of a square is the side length squared.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
The independent variable x is represents the length of one side of the square, and the dependent variable is the the area of the square, because the the area of the square depends on the length of one side of the square.
A function relating these variables is D(x) = x^2.
D(6) =36, meaning if 6 is the length of one side then 36 would be the area of the square.
It is stated that the area depends on the side length, making the side length the independent variable.
Therefore, The formula for the area of a square is the side length squared.
Learn more about the area;
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1. What is the measure of ∠ABC?
Answers
Answer:
I thought ik but i dont good luck!
Step-by-step explanation:
Answer:
∠ ABC = 55°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ABD is an exterior angle of the triangle , then
6x + 5 = x + 45 + 3x
6x + 5 = 4x + 45 ( subtract 4x from both sides )
2x + 5 = 45 ( subtract 5 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
Then
∠ ABD = 6x + 5 = 6(20) + 5 = 120 + 5 = 125°
∠ ABD and ∠ ABC are adjacent angles and are supplementary, thus
∠ ABC = 180° - ∠ ABD = 180° - 125° = 55°
Find the equation of the line that passes through (5, -1) and
(-10, -10)
Answers
Answer:
y = 0.6x – 4
or
y = 3/5x -4
Step-by-step explanation:
What is the y-intercept of the equation?
Answers
will mark brainliest please help me with
Answers
Answer:
-1
Step-by-step explanation:
i added all of the and that got me the answer
BRAINLIEST PLEASE
Answer:
6x-7
Step-by-step explanation:
Is that the answer you are looking for?
What is the first step in solving the equation 2/3x+1/3+2=5?
Subtract 3 from each side of the equation.
Add 2 to each side of the equation.
Combine like terms.
Multiply each side of the equation by 5.
Answers
Answer:
use photomath it'll you all
If the graph of the linear equation ax-8y=15 has an x-intercept at (3,0), then what is the value of a?
Answers
====================================
Work Shown:
Plug in (x,y) = (3,0)
ax - 8y = 15
a(3) - 8y = 15 .... replace x with 3
3a - 8(0) = 15 ... replace y with 0
3a - 0 = 15
3a = 15
a = 15/3
a = 5
The equation updates to 3x - 8y = 15.
Miguel places his 13-foot ladder 5 feet from the edge of his house. How high does the ladder reach? A. 8 feet B. 12 feet C. 13.9 feet D. 144 feet E. 194 feet
Answers
Answer:
A - eight feet
Step-by-step explanation:
20 character rule can be dumb sometimes
The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. The height of the house is 12 feet, then the correct option is B.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Miguel places his 13-foot ladder 5 feet from the edge of his house.
Then the height of the house is given by the Pythagoras theorem.
P² = H² - B²
P² = 13² - 5²
P² = 169 - 25
P² = 144
P = 12
Then the height of the house is 12 feet.
More about the right-angle triangle link is given below.
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A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time-and-a-half, or $31.50, for each hour worked in excess of 40. The piece-wise function below represents the driver wage, w(h), as a function of the hours worked in one week, h. How much money does the truck driver earn in a week if he works 30 hours? *
Answers
Answer:
$21 x 30 = 630 (630 the answer)
Step-by-step explanation:
Find the x- and y-intercept of the line.
–3x + 5y = 75
a
x-intercept is 5; y-intercept is –3
b
x-intercept is –3; y-intercept is 5
c
x-intercept is –25; y-intercept is 15
d
x-intercept is 15; y-intercept is –25
Answers
Answer:
x intercept-25; y intercept is 15
please please help i’ll give brainliest tysm:))
Answers
Answer:
140
Step-by-step explanation:
Answer:
It would be 140!
Step-by-step explanation:
70% Of 200 = 140!
Question 4 asap thanks
Answers
Answer:
20x+45x+50 = 180
65x= 130
x = 2
so,
A = 20x = 20×2 = 40
hope u got it.
i need help 5+(−4)+(−7)+2
can you guy help me for this questions
Answers
Answer:
-4
Step-by-step explanation:
first remove the parentheses
5-4-7+2
then calculate the sum or difference
-4
what is the missing term in the factorization?
18m^2-200 2(3m-10)(3m+?)
A). -100
B). -10
C). -3
D). 3
E). 10
Answers
Answer:
2 ( 3m -10) (3m+10)
Step-by-step explanation:
18m^2-200
Factor out 2
2 ( 9m^2 -100)
We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)
2 ( ( 3m)^2 - 10^2)
2 ( 3m -10) (3m+10)
The blue dot is at what value on the number line? -10 -4
Answers
Answer:
The blue dot is at the value of -19
Step-by-step explanation:
There is a gap of 3 between each space
-19 -16 -13 -10 -7 -4
Answer:
-19
Step-by-step explanation:
i did it in khan and it was right
Please help me I don’t get this
Answers
Answer:
16ft.
Step-by-step explanation:
4+6+9=16ft
Note:
hope this helps u out :)
Also please mark brainliest
There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the number of oak trees on the property?
Answers
Answer:
See below
Step-by-step explanation:
Number of oak trees
[tex] = \frac{25}{100} \times 25 \\ [/tex]
If f(x) = 4x + 1 and g(x) = 2x – 3, then (g(f(x)) =
Answers
Answer g(x)=x2 + 2
Step-by-step explanation:
PLEASE HELP ASAP!!! VERY EASY!
Lucia draws a square and plots the center of the square. She claims that any rotation about the center of the square that is a multiple of 45 will carry the square onto itself
Answers
Answer:
The second lucia’s claim is correct since any rotation that are multiple of 45 carry a square onto itself.
Step-by-step explanation:
Answer:
Lucian claim is incorrect because not all rotations that are multiples of 45 degrees carry a square onto itself
Step-by-step explanation:
90 degrees carries a square into itself and it IS a multiple if 45. But 45 degrees cannot carry a square into itself.
Which equation is represented in the graph below?
Answers
The graph of a proportional relationship is a straight line passing through the?
Answers
Answer:
Origin
Step-by-step explanation:
Here you go~
help!!! ill give brainliest!!
Answers
Answer:
4.123
Step-by-step explanation:
Just have to think what times itself = 17 and I thought well Istill close to 4 and then I just did the work
also PLZ MARK ME BRAINLIEST
Question: Find the missing side.
Answers
Answer:
17
Step-by-step explanation:
Use the Pythagorean Theorem, [tex]a^{2} +b^{2} =c^{2}[/tex]
In this situation, you would use the equation as [tex]8^{2} +15^{2} =x^{2}[/tex]
Please help i will mark brainliest which helps gain ranks
Answers
Answer:
It is proportional
Step-by-step explanation:
The pool is being filled at a constant rate.
Please I need help on this anyone
Answers
Answer:
98
Step-by-step explanation:
with the rule "corresponding angles are equal" it means that "d" and "f" are equal.
and since "f" is on the other side of 82, on a straight line, you can calculate "f".
82 and "f" would have to add up to 180' since they are on a straight line.
So you do 180 - 81 = f
and get 98.
and since "f = d"
d = 98 degrees
Which quadratic is best solved by taking the square root?
Answers
Answer:
x^2 - 9 = 0
Step-by-step explanation:
it is best to use square root method when there is no b value. in this equation, there is no b, only an a and c