The (100p)th percentile of a uniform distribution on [a, b] is given by the formula:
X = a + (b - a)p
where p is a fraction between 0 and 1. This formula gives the value of X such that p percent of the distribution lies below X.
To compute the expected value of X, we use the formula for the mean of a uniform distribution:
E(X) = (a + b) / 2
To compute the variance of X, we use the formula for the variance of a uniform distribution:
V(X) = (b - a)^2 / 12
And the standard deviation of X is the square root of its variance:
sigma = sqrt(V(X)) = (b - a) / (2 sqrt(3))
To compute the nth moment of X, we use the formula for the moment of a uniform distribution:
E(X^n) = (1 / (b - a)) * ∫[a,b] x^n dx
= (1 / (b - a)) * [x^(n+1) / (n+1)] from a to b
= (b^(n+1) - a^(n+1)) / ((n+1)(b - a))
Therefore, we have:
E(X) = (a + b) / 2
V(X) = (b - a)^2 / 12
sigma = (b - a) / (2 sqrt(3))
E(X^n) = (b^(n+1) - a^(n+1)) / ((n+1)(b - a))
Note that for n = 1, we recover the formula for the expected value of X.The (100p)th percentile of a uniform distribution on [a, b] is given by the formula:
X = a + (b - a)p
where p is a fraction between 0 and 1. This formula gives the value of X such that p percent of the distribution lies below X.
To compute the expected value of X, we use the formula for the mean of a uniform distribution:
E(X) = (a + b) / 2
To compute the variance of X, we use the formula for the variance of a uniform distribution:
V(X) = (b - a)^2 / 12
And the standard deviation of X is the square root of its variance:
sigma = sqrt(V(X)) = (b - a) / (2 sqrt(3))
To compute the nth moment of X, we use the formula for the moment of a uniform distribution:
E(X^n) = (1 / (b - a)) * ∫[a,b] x^n dx
= (1 / (b - a)) * [x^(n+1) / (n+1)] from a to b
= (b^(n+1) - a^(n+1)) / ((n+1)(b - a))
Therefore, we have:
E(X) = (a + b) / 2
V(X) = (b - a)^2 / 12
sigma = (b - a) / (2 sqrt(3))
E(X^n) = (b^(n+1) - a^(n+1)) / ((n+1)(b - a))
Note that for n = 1, we recover the formula for the expected value of X.
Learn more about percentile here:
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Harry Potter has a potion that can change voracious vampires into harmless hobbits. But the chemical evaporates over time and when the concentration in the potion is too weak, it turns the vampires into destructive Demogorgons. Oh no! The half-life of the potion means the amount of time it takes for the potion to lose half of its existing power, measured in magical units. This potion has a half-life of 2 months. Which statement about the potion's strength is correct? * a. Of the original 160 magical units, 5 magical units are left after 10 months of mixing the potion. b. Of the original 160 magical units, 16 magical units are left after 10 months of mixing the potion. c. Of the original 160 magical units, less than 1 magical unit is left after 10 months of mixing the potion. d. Of the original 160 magical units, 20 magical units are left after 10 months of mixing the potion e. Of the original 160 magical units, 80 magical units are left after 10 months of mixing the potion.
Answer:
im going to say c
Step-by-step explanation:
if its has 160 units and goes to half-life after 2 months im assuming it loses 1/2 of the units so in order for it to lose that many it will have to lose 40 units a month so i say its c after 10 months there will be less than 1 unit in the potion
hope this helps im sorry if im wrong have a blessed day :)
E = MV^2 ÷ 2 + mgh, If M=20, h=15, E=4900, g=9.8. Find V
Answer:
V = 14 m/s
Step-by-step explanation:
[tex]E = MV^2 ÷ 2 + mgh \\ \\ 4900 = 20V^2 ÷ 2 + 20 \times 9.8 \times 15 \\ \\ 4900 = 10V^2 + 2,940\\ \\ 4900 - 2940 = 10V^2 \\ \\ 1960 = 10V^2 \\ \\ V^2 = \frac{1960}{10} \\ \\ V^2 = 196 \\ \\ V = \sqrt{196} \\ \\ V = 14 \: m {s}^{ - 1} [/tex]
7:5 is equivalent to...?
Answer:
6:0
Step-by-step explanation:
Thank me later :)))))))))
10.04 × 8.8= ?
can you help me again please
Answer:
10.04 × 8.8 =?, ? = 88.352 :)
Answer:
88.352
Step-by-step explanation:
10.04
x. 8.8
=88.352
Perimeter? =
Area? =
Answer:
Your answer is
Area = 16.23
perimeter = 24
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
Linda is making a mosaic stepping stone to place in
her garden. The stone is shown below. How much
mosaic glass tile will Linda need to cover the surface
of five stepping stones? Use 3.14 for pie.
Help please lol
Answer:
D 565.2 in
Step-by-step explanation:
First you need to find the area of the stepping stone. The rule for area of circle is pi times radius squared. To find the radius you divide 12 by 2 = 6. After you do 6 times 6= 36 you multiply 36 times pi (3.14) = 113.04. After we find the are of the stepping stone we multiply it by five to get how many inches we have to cover. 113.04 times 5= 565.2 in.
Which number sentence is true? A. –38.44 6.2 = 6.2 B. –38.44 (6.2) = –6.2 C. –38.44 (–6.2) = –6.2 D. 38.44 6.2 = –6.2
Answer:
Option B:
[tex]-\frac{38.44}{6.2} = -6.2[/tex]
Step-by-step explanation:
Given
Options A to D
Required
Determine which is true
Option A:
[tex]-\frac{38.44}{6.2} = 6.2[/tex]
[tex]-6.2 = 6.2[/tex]
This is not true
Option B:
[tex]-\frac{38.44}{6.2} = -6.2[/tex]
[tex]-6.2 = -6.2[/tex]
This is true
There is no need to check further
The square of an add number is
Create an expression that is equivalent to 9(3x + 5 + x) without using
parentheses.
Answer:
27x + 45 + 9x
37x + 45
it's here
What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS
[tex] - 2 \frac{1}{2} - ( - 1 \frac{3}{4} )[/tex]
[tex] - \frac{5}{2} - ( - \frac{7}{4} )[/tex]
[tex] - \frac{10}{4} - ( - \frac{7}{4} )[/tex]
[tex] - \frac{3}{4} [/tex]
Evaluate the expression when a=5 and b= -5.
-a +8b
Dn80 pipe 88millimeters is According to the plan All openings must be 40mm larger than the pipe. You know that
Answer:
128mm
Step-by-step explanation:
Given
[tex]Pipe = 88mm[/tex]
[tex]Ope\ nnings = 40mm\ larger[/tex]
Required
Determine the length of the openings of the pipe
To do this, we simply add 40mm to the length of the pipe.
This gives:
[tex]Ope\ nings = 88mm + 40mm[/tex]
[tex]Ope\ nings = 128mm[/tex]
Hence, the opening must be 128mm
A jewelry box has a volume of 14 cubic inches. The area is 7 square inches. What is the height of the jewelry box.
Answer:
2 inches
Step-by-step explanation:
a=Lw
v=lwh
lw= 7
14/7=2
A carpenter has 6 feet of wood. How many inches of wood does the carpenter have?
Answer:
72 inches!
Step-by-step explanation:
since there are 12 inches in a foot, and there are 6 feet, you would multiply 6 x 12, so the answer would be 72 inches !!
i hope this helps ! ! :D
g(n) = 4n h(n) = n2 + 3n Find g(h(n))
Answer:
g(h(n)) = 4n² + 12n
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunction NotationAlgebra II
Composite FunctionsStep-by-step explanation:
Step 1: Define
g(n) = 4n
h(n) = n² + 3n
g(h(n)) is n = h(n)
Step 2: Find
Substitute in function h(n) as n: g(h(n)) = 4(n²+ 3n)[Distributive Property] Distribute 4: g(h(n)) = 4n² + 12nAn air conditioning repair company has a flat
service fee and charges an hourly rate. One
customer pays $180 for two hours of work.
Another pays $230 for three hours of work.
Write a linear function for this situation. Use h
For the number of hours.
C(h) =
Answer:
Step-by-step explanation:
what is the HCF ofusin prime factorization of 30 and 36
Answer:
Step-by-step explanation:
Prime factorization
30 = 2 × 3 × 5
36 = 2² × 3²
HCF = 2 × 3 = 6
At the market you can buy six bags of apples for $25 at the archer you can get eight bags of Apple for $35 which is the better deal
Answer:
$25
Step-by-step explanation:
A cat leaps from the ground into the air with an initial vertical velocity of 11 ft/s. After how many seconds does the cat land on the ground?
Answer:
11/16 of a second
Step-by-step explanation:
HELP MEEEE I NEED AN ANSWER
3 = 2 + n/4(that's supposed to be a fraction)someone help solve solve for n
Answer:
n = 4
Step-by-step explanation:
3 = 2 + n/4
1 = n/4
4 = n
Answer:
n = 4
Step-by-step explanation:
take the 2 and subtract it from itself then you gotta do it to the other side so it be 3 -2 and you get 1 then you multiply 4 to n/4 and it crosses it out and what you do to one side you do to the other so you multiply 4 by 1 & get 4
HELP I NEED HELP ASAP
Answer:
C) Linear
Step-by-step explanation:
To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.
Hope it helps!
Triangle A C B is a right triangle. Angle C A B is 90 degrees, angle A B C is (4 x) degrees, and angle A C B is (7 x minus 20) degrees. What is the m∠ACB? 10° 50° 90° 180°
Answer:
50°
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees
Hence given that in a triangle ACB with angles 90°, 4x°, 7x - 20
As such
90 + 4x + 7x -20 = 180
simplify
11x + 70 = 180
11x = 180 - 70
11x = 110
Divide both sides by 11
x = 110/11
x = 10
m∠ACB is 7x - 20
Substitute the value of x into the expression
= 7(10) - 20
= 70 - 20
= 50
Answer:
The answer is 50 degrees
Step-by-step explanation:
30 POINT !!!! NEED IT ASAP
iv) The number 211539 is divisible by
Answer:
The answer would be the number 3
Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle?
Answer:
Yes
Step-by-step explanation:
The line has to be loner to connect the other two.
What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed
Answer:
9/2
Step-by-step explanation:
(3, -20) & (11, 16)
To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(16 - (-20)) / (11 - 3)
Simplify the parentheses.
= (36) / (8)
Simplify the fraction.
36/8
= 9/2
9/2 is the most simplified fraction. This is your slope.
Hope this helps!
Solve the linear equation.
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45
Answer:
Solve the linear equation [tex]2.25 - 11 - 7.75 + 1.5j= 0.5j - 1[/tex]
✔ [tex]j[/tex] = –0.45
[tex]j[/tex] = –0.25
[tex]j[/tex] = 0.25
[tex]j[/tex] = 0.45
Simplify [tex]2.25 - 11j - 7.75 + 1.5j[/tex] .
Subtract [tex]7.75[/tex] from [tex]2.25[/tex] .
[tex]- 11j - 5.5 + 1.5j = 0.5j -1[/tex]
Add [tex]-11j[/tex] and [tex]1.5j[/tex] .
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Move all terms containing [tex]j[/tex] to the left side of the equation.
Subtract [tex]0.5j[/tex] from both sides of the equation.
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Subtract [tex]0.5j[/tex] from [tex]- 9.5j[/tex].
[tex]- 10j - 5.5 = - 1[/tex]
Move all terms not containing [tex]j[/tex] to the right side of the equation.
Add [tex]5.5[/tex] to both sides of the equation.
[tex]-10j = -1 +5.5[/tex]
Add [tex]-1[/tex] and [tex]5.5[/tex] .
[tex]10j=4.5[/tex]
Divide each term in [tex]-10[/tex][tex]j[/tex] [tex]=4.5[/tex] by [tex]-10[/tex] and simplify.
Divide each term in [tex]-10j = 4.5[/tex] by [tex]-10[/tex].
[tex]\frac{-10j}{-10} = \frac{4.5}{-10}[/tex]
Simplify the left side.
Cancel the common factor of [tex]-10[/tex].
[tex]j= \frac{4.5}{-10}[/tex]
Cancel the common factor.
[tex]\frac{-10j }{-10} = \frac{4.5}{-10}[/tex]
Divide [tex]j[/tex] by [tex]1[/tex]
[tex]j=\frac{4.5}{-10}[/tex]
Simplify the right side.
Divide [tex]4.5[/tex] by [tex]-10[/tex].
[tex]j=-4.5[/tex]
The Final Answer is
[tex]j=-4.5[/tex]
what’s a non example of a slope
Answer:
a leveled line or a straight line
The length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2
What is the width
What is the length
Answer:
Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.
So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.
Hope this helps:)