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
What is the area of a rectangle with a length of 3 ft and a width of 16.1 ft? 48.3 ft2 38.2 ft2 24.15 ft2 19.1 ft2
Data berikut ialah suhu yang dicatat untuk 5 hari.
The following data are the temperatures recorded for 5 days.
25°C, 27°C, 34°C, 28°C, 29°C
Hitungkan min. / Calculate the min
Jawapan / Answer:
[tex] \frac{25 + 2 7 + 34 + 28 + 29}{5} [/tex]
[tex]119.8[/tex]
Will give brainliest, Please explain how you got your answer!
Write an equivalent expression.
(x + 7) + 3y
y=-3x+6 and y=5x-2 for y
Answer:
The first one is x=2 and the second one is x=2/5 or 0.4
Step-by-step explanation:
PLEASE HELP, WILL MARK BRAINLIESTTTTTT!! (one answer is cut out the last answer is •2x-1•
Answer:
x+1 x+4 2x +1
are th answer
A company owns two dealerships, both of which sells cars and motorcycles. The first dealer sells a total of 214 cars and motorcycles the second dealership sells twice as many cars in half as many motorcycles as first dealership and sells a total of 239 cars and motorcycles
Answer:
294 cars
Step-by-step explanation:
hope this helpt touch thanks it my birth day
Find the volume of the rectangular prisim 18 in 10 in 5 in
Answer:
[tex]900m^3[/tex]
Step-by-step explanation:
Volume is found when you multiply length by height by width.
So, in this case, 18 times 10 times 5.
[tex]18*10*5=180*5=900[/tex]
So, [tex]900m^3[/tex] is the answer
Hope this helped! :)
Solve the formula for the specified variable.
d = bx for b
Answer:
d/x
Step-by-step explanation:
[tex]d=bx\\\frac{d}{x} =b[/tex]
Name the additive identity of (-10+4i)
An additive identity for i, denoted e, is an element in i such that for any element i in i, e + i = i = i + e. Example: The formula is i + 0 = i = 0 + i.
The additive identity of (-10+4i) is (0+0i).
What is additive identity?Additive identity property states that when a number is added to zero will give the same number in result . “Zero” is called the identity element, If we add any complex number with zero, the resulting number will be the same complex number. It doesn't change the number and keeps its identity.
For the given situation,
The complex number is (-10+4i)
The general form of complex number is a+bi. The additive identity for complex number is 0+0i.
⇒ [tex](-10+4i)+(0+0i)=(-10+4i)[/tex]
Hence we can conclude that (0+0i) is the additive identity of (-10+4i).
Learn more about additive identity here
https://brainly.com/question/11308032
#SPJ2
At the Houston Zoo there are 3 elephants for every 2 Cheetahs. If there are a
total of 200 animals at the Zoo, how many of these animals are elephants?
(5-2)2 + 4•2 need help
Answer:
14 is the answer to this question
Step-by-step explanation:
10-4+8
6+8
14
Answer:
14
Step-by-step explanation:
At the grocery store ,8 oranges cost $4 what is the cost for 9 oranges ?
Answer:
$4.50
Step-by-step explanation:
First step is to find the price per orange. You can do this by dividing total cost by oranges bought. See below.
[tex]4 \div 8 \\ = .50[/tex]
Now to find the amount of 9 oranges, you'd multiply price per orange by the specified amount needed (so 9)
[tex]9 \times .50 \\ = 4.50[/tex]
PLEASE ANSWER FAST:
Zoey and her children went into a grocery store where they sell apples for $2 each and bananas for $0.50 each. Zoey has $8 to spend and must buy a minimum of 7 apples and bananas altogether. If x represents the number of apples purchased and y represents the number of bananas purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
(2,7)
Step-by-step explanation:
Variable Definitions:
x=
x=
\,\,\text{the number of apples}
the number of apples
y=
y=
\,\,\text{the number of bananas}
the number of bananas
\text{\textquotedblleft a minimum of 7 items"}\rightarrow \text{7 or more items}
“a minimum of 7 items"→7 or more items
Use a \ge≥ symbol
Therefore the total number of apples and bananas, x+yx+y, must be greater than or equal to 7:7:
x+y\ge 7
x+y≥7
\text{\textquotedblleft \$8 to spend"}\rightarrow \text{can spend \$8 or less}
“$8 to spend"→can spend $8 or less
Use a \le≤ symbol
One apple costs $2, so xx apples cost 2x.2x. One banana costs $0.50, so yy bananas cost 0.50y.0.50y. The total 2x+0.50y2x+0.50y must be less than or equal to \$8:$8:
2x+0.50y\le 8
2x+0.50y≤8
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 7\hspace{30px}& 2x+0.50y\le 8 \\[0.8em] y\ge 7-x \hspace{30px}& 0.50y\le 8-2x \\[0.8em] \hspace{30px}& y\le \frac{8-2x}{0.50} \\[0.8em] & y\le 16-4x\end{aligned}
x+y≥7
y≥7−x
2x+0.50y≤8
0.50y≤8−2x
y≤
0.50
8−2x
y≤16−4x
Graph y\ge 7-xy≥7−x by shading up and graph y\le 16-4xy≤16−4x by shading down:
0
the number of apples
the number of bananas
x
y
0
the number of apples
the number of bananas
(2, 7)
Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:
Zoey could buy 2 apples and 7 bananas.
Can someone Help me I'm Stuck on these three Questions
Z+(-7)=-8
13=Z+18
12=T+3
Explain your answer
Thanks For the Help:)
Answer:
1.) z = -1
2.) z = -5
3.) t = 9
Step-by-step explanation:
z + (-7) = -8
=> add 7 to both sides
z = -1
13 = z + 18
=> subtract 18 from both sides
-5 = z
12 = t + 3
=> subtract 3 from both sides
9 = t
Perpendicular lines are two coplanar lines that intersect to form what type of angle?
Answer:
Perpendicular Line Theorems
Step-by-step explanation:
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. If two sides of two adjacent angles are perpendicular, then the angles are complementary. If two lines are perpendicular, then they intersect to form four right angles.
What is the value of x?
A. 20
B. 30
C. 45
D. 60
E. 90
The sum of all the angles in a triangle is equal to 180°
Since the given triangle is an isosceles ∆ therefore the angles opposite to the equal sides with also be the same.
now from the diagram: 90° + 2x° = 180°
Therefore x = 45
Grace has two part time jobs. At one job, she works
as a cashier and makes $8 per hour. At the second
job, she works as a tutor and makes $12 per hour.
One week she worked 6 hours and made $56. Which
of the following systems could be used to find the
number of hours she worked at each job?
Answer: the correct answer is number one
Step-by-step explanation:
Please help me I’m so desperate I need help please help me with questions 3,4 and 5 please
Answer:
The answer to number 3 is -2.
The answer to number 4 is 30,340 feet.
The answer to number 5 is 7 and -3.
Step-by-step explanation:
So much work, take it and go, lol.
Hope this helped! :)
Solve for x:
3x – 2 (5 – x) = 30
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3x - 2(5 - x) = 30
Step 2: Solve for x
Distribute -2: 3x - 10 + 2x = 30Combine like terms: 5x - 10 = 30Isolate x term: 5x = 40Isolate x: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8) - 2(5 - 8) = 30Multiply: 24 - 2(5 - 8) = 30Subtract: 24 - 2(-3) = 30Multiply: 24 + 6 = 30Add: 30 = 30Here we see that 30 does indeed equal 30.
∴ x = 8 is the solution to the equation.
Please help me solve this
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Both angles are the same because of similar angles being the two horizontal lines are parallel. All we have to do is solve the equation when we make the angles equal to each other. Follow the steps below.
[tex]9x + 7 = 10x \\ 7 = x \\ x = 7[/tex]
need help!! i don't understand angles :((
Answer:
Step-by-step explanation:
t find the angle 1
135-75=60
choice 3
Answer:
the answer is 60
Step-by-step explanation:
you just subtract 75 from 135
What is the length of DC?
O 2 units
O 3uníts
O 6uníts
O 9 unit
Answer:
The correct option is;
3 units
Step-by-step explanation:
From the given figure, we have that segment DE is parallel to segment CB of triangle ABC
According to triangle proportionality theorem we have that segment DE which is parallel to segment CB of triangle ABC, divides the other two sides the triangle ABC proportionally
We have;
[tex]\overline {DC}[/tex]/[tex]\overline {AD}[/tex]= [tex]\overline {EB}[/tex]/[tex]\overline {AE}[/tex]
[tex]\overline {DC}[/tex]/9 = 4/12
[tex]\overline {DC}[/tex]= 9 × 4/12 = 3
[tex]\overline {DC}[/tex]= 3 units
The length of the segment DC = 3 units.
this is it help pls.
Answer:
1/5
Step-by-step explanation:
Hope this helps!
plsssss pplssss helpppp
Answer:
Hold on i have to work it out real quick
Step-by-step explanation:
Timothy is sorting his building blocks into 8 bins. Each bin can hold 286 blocks. He has already put 74 blocks in the bins. How many more blocks does Timothy need to sort?
Answer: 2214 blocks
Step-by-step explanation:
From the question, we are told that Timothy is sorting his building blocks into 8 bins and that each bin can hold 286 blocks. Therefore, the total blocks that the bins would hold would be:
= 286 × 8
= 2288 blocks.
We are further told that he has already put 74 blocks in the bins. The number of remaining blocks that Timothy need to sort would be:
= 2288 - 74
= 2214 blocks
Find the measure of the numbered angle.
m∠1 =
Answer:
∠1 = 50°Step-by-step explanation:
right triangle.
∠1 = 180 - 90 - 40
∠1 = 50°
Which of these angle pairs are congruent because they are corresponding
angles?
Answer:1 and 5
Step-by-step explanation:
i think 1 and 5 are corresponding.
tell me if am wrong
Answer:
A. 1 and 5
Step-by-step explanation:
I just took the quiz, I hope this helps!
Which of the following graphs represents a relation that is not a function?
Answer:
Even though you only uploader one pic I think that is the answer
Because that is a Zero slope wich means it has no function that would be the anser
Step-by-step explanation:
Each Purse Contains 8 Coins. Find A rule to give the total number of coins in 'n' purses.
Answer:
8n
Step-by-step explanation:
ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
50% people use cellular mobile and 40% people use landline and 20% people use both. Find the probability that a person selected at random use neither.
a) 10% b) 30%
c) 70% d) 90%
Answer:
a) 10%
Step-by-step explanation:
To be able to own both (20%), you must fall into both categories. You own a cellular mobile, and you own a landline. The 20% is within the 50% + 40%.
50% + 40% = 90%
Subtract 90% from the total amount:
100 - 90 = 10
A) 10% is your answer.
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