====================================================
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.
What is Which equation correctly demonstrates the Distributive Property? F. $a\left(b+c\right)=ab+c$ G. $a\left(b+c\right)=ab+ac$ H. $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$ I. $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$
Answer:
[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]
Step-by-step explanation:
Given
[tex]F.\ $a\left(b+c\right)=ab+c$[/tex]
[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]
[tex]H.\ $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$[/tex]
[tex]I.\ $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$[/tex]
Required
Which of the options shows Distributive Property
Distributive property states that
For: [tex]a(b + c)[/tex]
The equivalent is: [tex]ab + ac[/tex]
In other words:
[tex]a(b + c) = ab + ac[/tex] ----- (1)
Having mentioned that;
Next, we compare the list of given options to (1) above
Option G matches (1).
[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]
Hence, option G correctly demonstrates distributive property
What is the slope of the line that passes through the points (-10, –4) and (10, -29)? Write your answer in simplest form. Answer: Submit Answer undefined attempt i out of
Answer:
-5/4
Step-by-step explanation:
Mrs. King has a stack of papers to grade that contains 12 boy's papers and 8 girl's papers. What is the probability that the first paper Mrs. King's grades will be a boy's paper? *
196 divided by 3.5 show your work
The value of 196 ÷ 3.5 is 56
What is division?Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division. The main goal of dividing is to see how many equal groups are formed or how many are in each group when sharing fairly.
For example, if 50 apples are to be shared by 5 people , the number of apples allocated bto a person is 50/5 = 10 apples
196/3.5
to solve the we can multiply the numerator and denominator by 10 to make all whole number
= 1960/35
we can now simplify
divide through by 5
392/7
divide through by 7
= 56
therefore the value of 196/3.5 is 56
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8( y- 7) please answer this I will give brainliest
Answer: 8y − 56
Step-by-step explanation:
Multiply using the distributive property.
HELP MEEEEEEEEE
how many grams are in 562 dg?
Answer: the answer is 56.2 g
Step-by-step explanation:
562 dg * 1 g/10 dg = 56.2 g
hope i helped
-lvr
Which number should each side of the equation 45x=8 be multiplied by to produce the equivalent equation of x = 10?
-4/5
1/5
5/4
5
Please answer FAST!!!
Answer:
5/4
Step-by-step explanation:
45 × ? = 10
Answer:
5/4
Step-by-step explanation:
A bicycle has a listed price of $765.95 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax Included.
Answer:
The total cost is $ 589.06
Step-by-step explanation:
Answer:
$838.72
Step-by-step explanation:
$765.95 x 1.095 = $838.72
My mom likes to support my efforts on the cycling team, so she is always there to watch me race. At the last race, she became so excited that she promised to buy me 4 cupcakes for every three laps I completed. I completed a whole race, a whopping 24 laps! How many cupcakes did my mom buy me? Just write a number for an answer.
Answer:
I think that the answer is 32 cupcakes. I am sorry if this is wrong, but go subscribe to me at SSSniperwolf and LittleLia.
Step-by-step explanation:
Determine the measure of the unknown angle in the triangle.
you add 78 plus 37 then subtract from 180
Answer:
65°
Step-by-step explanation:
Let the unknown angle be ∠ABC
∠ABC + 78° + 37° = 180° (angle sum property of a triangle)
∠ABC + 115° = 180°
∠ABC = 180° - 115°
∠ABC = 65°
∴the unknown angle in the triangle is 65°
4. 8(0 - 9) = 6(2 - 12) - 40
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
I took an Uber that had a bill of $15.20. I left a 15% tip. How much was the Uber including the tip?
Answer:
$17.48
Step-by-step explanation:
^^^^^^^^^^^^^
In case of an emergency, the office has a calling list so everyone is called in the least amount of time. Each of the first 4 people on the list calls another 4 people on the list. Then, each of the people in the second group calls another 4 people on the list, and so on. The 4th group of people will make 256 calls. Is this statement accurate? Explain.
Select the correct choice and fill in the answer boxes to complete your choice.
A.
Yes. The 1st group is nothing, the 2nd group is nothing, and so on. The 4th group is which does equal 256.
B.
No. The 1st group is nothing, the 2nd group is nothing, and so on. The 4th group is which does not equal 256.
Answer:
A.Yes.1st group is nothing ,the 2nd group is nothing,and so on .The 4th group is which does not equal 256 is the correct answer
Simplify the following expression by showing any work
Answer:
4[tex]x^{4}[/tex][tex]y^{4}[/tex]z
15 point hurry
In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c.
y = two-thirds x squared + 3
a.
a = 0, b = two-thirds, c = 3
b.
a = two-thirds, b = 0, c = 3
c.
a = 0, b = 3, c = two-thirds
d.
a = two-thirds, b = two-thirds, c = 3
Given:
[tex]y=\dfrac{2}{3}x^2+3[/tex]
This equation is in the form [tex]y=ax^2+bx+c[/tex].
To find:
The values of a, b and c.
Solution:
We have,
[tex]y=\dfrac{2}{3}x^2+3[/tex]
It can be written as
[tex]y=\dfrac{2}{3}x^2+(0)b+3[/tex]
On comparing this equation with [tex]y=ax^2+bx+c[/tex], we get
[tex]a=\dfrac{2}{3},b=0,c=3[/tex]
Therefore, the correct option is b.
what is the sales tax of 9.25% on a tv costing 234.25
Answer:
[tex]21.668125[/tex] [tex]or[/tex] [tex]21[/tex] [tex]Dollars[/tex] [tex]and[/tex] [tex]66[/tex] [tex]Cents[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]9.25\%[/tex] [tex]of[/tex] [tex]234.25[/tex] = [tex]21.668125[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
is f(-2) positive or negative
Answer:
Depends on [tex]f(x)[/tex]
Step-by-step explanation:
Example:
if [tex]f(x) = |x|[/tex]
then [tex]f(-2) = 2[/tex]
if [tex]f(x) = x ^ 3[/tex]
then [tex]f(-2) = -8[/tex]
research: even & odd functions.
Answer:
negative
Step-by-step explanation:
because in number 2 got the little line in one side
thianamccornell1 no one else
Answer:
Oh I see, that’s weird
Step-by-step explanation:
Maybe you have to wait a while or wait for somebody else to answer because that’s what happens to me sometimes
Write in standard form the equation y - 9 = 1/3(x - 6).
Help ill give brainlist
Answer:
x=2
Step-by-step explanation:
I NEED THE ANSWER I HAVE 15 MINUTES LEFT!!
On a high school varsity baseball team, 5 players are sophomores, 11 are juniors, and 13 are seniors. The team selects 4 honorary co-captains by drawing names from a hat. What's the probability that all 4 co-captains come from the same class?
Answer:
4 in 33
Step-by-step explanation:
all you do is add the amount of people and the propability number first
4 in 33
PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!
Which equation models the trend line?
A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
Graham graphs the following system of equations to determine its solution.
2x + 4y = 12
2x - y = 2
What is the correct solution?
Enter your answer by filling in the boxes.
(__,__)
ASAP plz
Answer: (2,2)
Step-by-step explanation:
I'm going to use substitution to solve this:
First, I use the second equation to solve for y in terms of x.
2x - y = 2
-y = 2 - 2x
y = 2x - 2
Then, I plug the value for y into the first equation:
2x + 4y = 12
2x + 4(2x - 2) = 12
2x + 8x - 8 = 12
10x - 8 = 12
10x = 20
x = 2
Now that we have x, we can plug it into either equation (I used the first) to get the value for y:
2x + 4y = 12
2(2) + 4y = 12
4 + 4y = 12
4y = 8
y = 2
We get the point (2,2) as a solution.
Note: This is the point where both lines intersect.
After solving the equation, the value of for the points x and y are (2, 2).
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equation in the question,
2x + 4y = 12 (i) and
2x - y = 2 (ii)
Solve the value for y,
5y = 10
y = 10/5
y = 2
Substitute y=2 in equation (i)
2x + 4(2) = 12
2x = 12 - 8
x = 4/2
x = 2
Therefore, the point is (2, 2).
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The perimeter of a rectangle is 50ft. If the length is one more than twice the width,
what is the length, width and area?
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x
Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1
Perimeter of a rectangle = 2(length + breadth)
50 = 2(2x + 1 + x)
50 = 2(3x + 1)
50 = 6x + 2
6x = 50 - 2
6x = 48
x = 48/6
x= 8
Width = 8ft
Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft
Area = Length × Width = 17 × 8 = 136ft^2
Maggie says the LCM of 8 and 12 is 24. Her friend Glen says the answer is 4. Who is rigth?
Answer:
Maggie
Step-by-step explanation:
Question 1 of 5 ? Marissa is throwing a ball across a 36-yard field. She threw it 3 of the way across the field. How far did Marissa throw the ball?
Answer:
12
Step-by-step explanation3%36
Find the value of X*
X=
X х
8
12
Answer:
12
Step-by-step explanation:
This is a proportion question.
8/x = 12/(12 + 6)
8/x = 12/18 Reduce the right hand side
8/x = 2/3 Cross multiply
2x = 8*3 Combine the right side
2x = 24 Divide by 2
x = 24/2
x = 12
50,6291583.9741
What place value does 4 hold in the number above?
number 4 is in the thousanths place
anyone wanna help me out please? I will be givin out brainliest!! Thanks
Answer:
62
Step-by-step explanation:
please mark me as brainliest
X^2-x-12, please show your work so I can know how to do it. Thank you:))