Answer:
Mean = np + n(n-1)p²
Standard Deviation= √ σ² = √npq
Step-by-step explanation:
The m.g.f of the binomial probability distribution b(x;n,p) is derived as below.
M₀t = E (e)^tx
= ∑(e)^tx (nCx) (p)^x q^(n-x) { x varies from 0 to n}
= ∑(e)^tx (nCx) (pe^t)^x q^(n-x)
= (q +pe^t)^n
The expansion of this binomial is purely algebraic and need not to be interpreted in terms of probabilities.
WE get the moments by differentiating M₀(t) once, twice, etc. with respect to t and putting t=0
Thus
μ₁` = E(X) = [ d/dt (q +pe^t)^n] t=0
= [ npe^t (q +pe^t)^n-1] t=0
= np
And
μ₂` = E(X²) = [ d²/dt² (q +pe^t)^n] t=0
= [ npe^t (q +pe^t)^n-1] + [ n(n-1)p²e^²t (q +pe^t)^n-2] t=0
= np + n(n-1)p²
Variance= μ₂= μ₂` - μ₁`²
σ² =E(X²)- E(X)²
σ² =np + n(n-1)p²- (np )²
σ² =npq
Standard Deviation= √ σ² = √npq
please help me with this question
Answer:
12cm
Step-by-step explanation:
You can draw a triangle with hypotenusa 13, height h and base 5 (the difference between the radius 9 and 4). Then pythagoras tells us that
13² = h² + 5²
so
h = 13² - 5² = √144 = 12
6th grade math i mark as brainliest
Answer:
9. 30/6
10. 7.6 and u
Step-by-step explanation:
what is -1 1/2, -12, -4.3 least to greatest
With negative numbers the larger the number the lower the value. For example -2 is less than -1
The order from least to greatest would be:
-12, -4.3, -1 1/2
Which of these tables represents a non-linear function?
х
17
18
19
y
20
19
18
17
20
х
17
18
19
20
y
-16
-17
-18
-19
Х
17
18
19
20
у
16
17
19
20
у
Answer:
Its C.Step-by-step explanation:
Non-linear functions address the problems of a linear activation function: They allow backpropagation because they have a derivative function which is related to the inputs. They allow “stacking” of multiple layers of neurons to create a deep neural network.
Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?
Answer:
2y=8/3x
Step-by-step explanation:
José paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?
alec is seven years younger than his older brother Ethan if alec is 24 years old how old is Ethan
Answer:
Ethan is 31 years old if Alec is 24 years old.
Step-by-step explanation:
24 + 7 since Alec is seven years younger than his older brother so you add seven to his age
Answer:
31
Step-by-step explanation:
Alec is seven years younger than his older brother Ethan
So
If Alec is 24 years old then Ethan will be
24+7
31
Sam calls a friend to get help with his math homework. Which instructions would best help Sam solve the inequality shown below? 15 3/4 < -2 + x
F. Add 15 3/4 to both sides of the inequality.
G. Subtract 2 from both sides of the inequality.
H. Add 2 to both sides of the inequality.
J. Subtract 15 3/4 from both sides of the inequality.
A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.
Which answer choice best describes the domain and range of the function for this situation?
Small problem....
There is no graph!
ill be happy to solve this if i saw a graph
PLZ ANSWER.. I NEED HELP!?!?
factorise x^2+5x+6
Answer:
there is no like terms
Step-by-step explanation:
Answer:
(x+2)(x+3)
Explanation:
(x+2)(x+3)
If you simplify this, you get:
x*x = x^2
x*3 = 3x
2*x = 2x
2*3 = 6
If we add these all together we will have:
x^2 + 3x + 3x + 6
Combine like terms
x^2 + 5x + 6
AJKL-AXYZ. Find the scale factor from AJKL to AXYZ.
20
x
10]
8
16
2 10 y
L
20_k
2/1
172
524
4
/
5ܐ
Answer:
1/2
Step-by-step explanation:
Since you are going from the biggest to smallest, it would be 1/2. If you are going from the smallest to biggest it would be 2. So the answer is 1/2. :)
Name the following note!!
Answer:
Maybe this will help btw not math
Step-by-step explanation:
solve 3cosx-1,0<=x<=pi/2
Answer:
E(-9)≈3.4936
Step-by-step explanation:
Calculate the arc length of the following curve from x = 0 to x = π/2:
y(x) = -1 + 3 cos(x)
Hint: | The definition of arc length in Cartesian coordinates is s = integral_(x_0)^(x_1) sqrt(1 + y'(x)^2) dx.
Apply the definition of arc length to y(x) = -1 + 3 cos(x) for 0<x<π/2:
s = integral_0^(π/2) sqrt(1 + (d/dx(-1 + 3 cos(x)))^2) dx
Hint: | What is d/dx(-1 + 3 cos(x))?
Compute the derivative d/dx(-1 + 3 cos(x)):
= integral_0^(π/2) sqrt(1 + (-3 sin(x))^2) dx
Hint: | Can the integrand be simplified?
Simplify sqrt(1 + (-3 sin(x))^2):
= integral_0^(π/2) sqrt(1 + 9 sin^2(x)) dx
Hint: | Can this integral be computed?
Compute the definite integral:
Answer: E(-9)≈3.4936
A pickup truck carrying 10*3 identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what is the weight of each brick? Explain how you solved the problem.
Answer:
The truck now weighs 2130 kilograms. Hope this helps.
Step-by-step explanation:
A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each T-shirt printed with your design costs an additional $8.
A. write a linear model that represents the Total cost of purchasing your team's T-shirt with your design as a function of the number of T-shirts.
B. your team has 35 members. If a T-shirt is purshased for every member. what would be the cost?
Answer:
Part A)
[tex]C(t)=25+8t[/tex]
Part B)
[tex]C(35)=\$305[/tex]
Step-by-step explanation:
We will let t represent the total number of t-shirts printed.
We are charged an initial fee of $25. So, for our linear model, our constant is 25. And each t-shirt printed costs an additional $8. So, for t t-shirts, it will cost an additional 8t dollars.
Part A)
So, from the above information, we can write the following function:
[tex]C(t)=25+8t[/tex]
Where C(t) is the total cost for t shirts.
The 25 represents our initial fee and the 8t represents the cost for t t-shirts.
Part B)
So, if we have a team of 35 members, we will need 35 t-shirts.
Then the total cost will be given by:
[tex]\begin{aligned}C(35)&=25+8(35)\\&=25+280\\&=\$305\end{aligned}[/tex]
So, it will cost a total of $305.
PLEASE HELP! 5TH GRADE MATH! Select the best estimate of the product of Select the best estimate of the product of 52 x 89 = ____
Answer:
400
Step-by-step explanation:
50x80=400, you just ignore the ones digits so its easy to solve. (5x8x100)
I NEED HELP ASAP IT IS FOR CHRISTMAS!!!!!!THESE ARE ALL MY POINTS!!
If three kids that want to buy something that cost $35.99 how much would each of them have to pay? Any ideas for what i should get my mom and dad?!!!! please help
Answer:
They should pay $12 each
Answer:
about 12 dollars probably more with tax maybe around 12.03
Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.
Which answer best explains why the “divide each side by step” is unacceptable?
a. When you divide both sides of 2x = 6x by X you get 2x² = 6x²
b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
c. When you divide both sides of 2x = 6x by x you get 2 = 6x.
d. When you divide both sides of 2x = 6x by x it could lead us to think that there is no solution while, in fact, the solution is x = 3
Answer:
b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Step-by-step explanation:
The solution is correct up to the step 2x = 6x
2x = 6x
Subtract 2x from both sides.
0 = 4x
Divide both sides by 4.
x = 0
You cannot divide both sides by x since x could be zero, and in fact, it is.
Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
The correct option is (b) When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The linear equation is:
2(x + 6) - 4 = 8 + 6x
After simplifying the above linear equation in one variable:
2x = 6x
The correct steps are:
6x - 2x = 0
4x = 0
x = 0
When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Thus, the statement best explains that “divide each side by step” is unacceptable" is When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
IN A GAME,THE PROBABILITY OF THE SPINNER LANDING ON A 2 IS 1/3. HOW MANY TIMES WOULD YOU SPIN EXPECT TO LAND ON A 2 IF YOU SPIN THE SPINNER12 TIMES. PLEASE HELP!!! PLEASE HELP ASAP!! WILL MARK BRAINLIIEST!!
Answer:
I’m pretty sure u would spin it 4 times
Step-by-step explanation:
I hope that helps check with someone else tho ❤️❤️
Write the equation of the line in slope intercept form that passes through the point (6, -1) and has a slope of -2.
Answer:
Y=6X-32
Step-by-step explanation:
Answer:
y-y1=m(x-x1)
y-6=-2(x-(-1))
y-6=-2(x+1)
y-6=-2x-2
y=-2x+4
Step-by-step explanation:
Help, please. My assignment is past due so pls hurry.
Answer:
X=8
Step-by-step explanation:
46+9x-8=14x-2
46-8+2=14x-9x
40=5x
8=x
Answer:
x=8
Step-by-step explanation:
Hope this helped have an amazing day!
17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)
pls help thank you<3
Answer:
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Step-by-step explanation:
Given
VA; [tex]x = 2[/tex]
SLA: [tex]y = 5x - 1[/tex]
Zero of function: [tex](-1,0)[/tex]
Required
Determine the rational function in expanded form
Analyzing the vertical asymptote
The vertical asymptote is given as:
[tex]x = 2[/tex]
Subtract 2 from both sides
[tex]x - 2 = 2 - 2[/tex]
[tex]x - 2 = 0[/tex]
This means that the denominator must be [tex]x - 2[/tex]
Analyzing the zero of the function
The zero of the function is given as: [tex](-1,0)[/tex]
This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]
Equate [tex]x = -1[/tex] to 0 by add 1 to both sides
[tex]x + 1 =- 1 + 1[/tex]
[tex]x + 1 =0[/tex]
This means that one of the numerators must be [tex]x + 1[/tex]
Analyzing the slant asymptote:
[tex]y = 5x - 1[/tex]
This means that one of the numerators must be [tex]5x - 1[/tex]
Hence, the function is:
[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]
Expand the numerator
[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Sophia's dad paid $43.25 for 12.5 gallons of gas. What is the cost of one gallon of gas
Answer:
It is $3.46
Step-by-step explanation:
Hope this helped have an amazing day!
Plz help me if your a Genius at math!!!and I will gave Brainliest
Answer:
320
190
318
42.241951146971
Step-by-step explanation:
9514 1404 393
Answer:
320 units²190 units²318 units²43.8 units²Step-by-step explanation:
The area formula for a rectangular prism is ...
A = 2(LW +H(L+W))
For (L, W, H) = (8, 8, 6) ...
A = 2(8·8 +6(8+8)) = 2(64 +96) = 320 . . . square units
For (L, W, H), = (2, 9, 7) ...
A = 2(2·9 +7(2 +9)) = 2(18 +77) = 190 . . . square units
For (L, W, H) = (6, 7, 9) ...
A = 2(6·7 +9(6 +7)) = 2(42 +117) = 318 . . . square units
__
The area of the triangular prism is the sum of its triangular base areas and the lateral area. The lateral area is the product of the base perimeter and the length of the prism.
A = 2(1/2)bh +PL
= 3(2.6) +(3+3+3)·4
= 7.8 +9·4 = 43.8 . . . square units
solve quadratic equation 3x^2+2x-4=0
Answer:
x1=[tex]\frac{-1-13}{3}[/tex], x2=[tex]\frac{-1+13}{3}[/tex]
Step-by-step explanation:
which model represents 1/3
Answer:2nd one because 2/6=1/3
Step-by-step explanation:
what is eqivalent to 1/11
Answer:
it may be different answers i.e 0.09 and 11^-1
I NEED HELP ASAP PLSSSSSSS
Answer:
53 degrees
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
180-127=53
Molly has already taken 5 quizzes during past quarters, and she expects to have 4 quizzes during each week of this quarter. Write an equation that shows the relationship between the number of weeks x and the total number of quizzes y. Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 5 + 4(w)
Step-by-step explanation:
Given that:
Consider y to be the total number of quizzes and x to be the number of weeks;
The number of quizzes already taken during the past quarters = 5
The number of quizzes to be each week = 4
Therefore, the total number of quizzes is represented by quiz given during the past quarter and the quiz to be given in the future during every week of the quarter.
i.e
Total number of quiz y = quiz already taken during the past quarter + number of quiz each week(total number of weeks)
y = 5 + 4(w)
This is the required relationship between the number of weeks x and the total number of quizzes y.
Please answer correctly !!!!!!!!!!!! What is the triangle ?!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Isosceles Right
Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.
Answer:
Isosceles Right
Step-by-step explanation: