Answer:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
26.67
Answer:
10 point separation.
Step-by-step explanation:
There are 14 points for gold and 4 points for fifth place.
Hope this helps!
Suppose that Y has density function
f(y) = ky(1 − y) if 0 ≤ y ≤ 1 0, elsewhere
A) Find the value of k that makes f (y) a probability density function.
B) Find P(Y ≤ .4|Y ≤ .8).
C) Find the .95-quantile, i.e., find a point φ.95 such that P(Y ≤ φ.95) = .95.
I'm assuming
[tex]f(y)=\begin{cases}ky(1-y)&\text{for }0\le y\le1\\0&\text{otherwise}\end{cases}[/tex]
(a) f(x) is a valid probability density function if its integral over the support is 1:
[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=k\int_0^1 y(1-y)\,\mathrm dy=k\int_0^1(y-y^2)\,\mathrm dy=1[/tex]
Compute the integral:
[tex]\displaystyle\int_0^1(y-y^2)\,\mathrm dy=\left(\frac{y^2}2-\frac{y^3}3\right)\bigg|_0^1=\frac12-\frac13=\frac16[/tex]
So we have
k / 6 = 1 → k = 6
(b) By definition of conditional probability,
P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4 and Y ≤ 0.8) / P(Y ≤ 0.8)
P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4) / P(Y ≤ 0.8)
It makes sense to derive the cumulative distribution function (CDF) for the rest of the problem, since F(y) = P(Y ≤ y).
We have
[tex]\displaystyle F(y)=\int_{-\infty}^y f(t)\,\mathrm dt=\int_0^y6t(1-t)\,\mathrm dt=\begin{cases}0&\text{for }y<0\\3y^2-2y^3&\text{for }0\le y<1\\1&\text{for }y\ge1\end{cases}[/tex]
Then
P(Y ≤ 0.4) = F (0.4) = 0.352
P(Y ≤ 0.8) = F (0.8) = 0.896
and so
P(Y ≤ 0.4 | Y ≤ 0.8) = 0.352 / 0.896 ≈ 0.393
(c) The 0.95 quantile is the value φ such that
P(Y ≤ φ) = 0.95
In terms of the integral definition of the CDF, we have solve for φ such that
[tex]\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=0.95[/tex]
We have
[tex]\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=\int_0^\varphi 6y(1-y)\,\mathrm dy=(3y^2-2y^3)\bigg|_0^\varphi = 0.95[/tex]
which reduces to the cubic
3φ² - 2φ³ = 0.95
Use a calculator to solve this and find that φ ≈ 0.865.
Using probability concepts, it is found that
a) The value is k = 6.
b) P(Y ≤ .4|Y ≤ .8) = 0.554.
c) The 95th percentile is x = 0.86465.
The density function is:
[tex]f(y) = ky(1 - y)[/tex]
Item a:
The condition that makes it a probability density function is:
[tex]\int_0^1 f(y) dy = 1[/tex]
Thus:
[tex]\int_0^1 f(y) dy = \int_0^1 ky - ky^2 dy[/tex]
[tex]\int_0^1 f(y) dy = k(\frac{y^2}{2} - \frac{y^3}{3})|_{y = 0}^{y = 1}[/tex]
[tex]\int_0^1 f(y) dy = k(\frac{1}{2} - \frac{1}{3})[/tex]
Then
[tex]k(\frac{1}{2} - \frac{1}{3}) = 1[/tex]
[tex]k(\frac{3-2}{6}) = 1[/tex]
[tex]k = 6[/tex]
The value is k = 6.
Item b:
This probability is:
[tex]\int_0.4^0.8 f(y) dy = 6(\frac{y^2}{2} - \frac{y^3}{3})|_{y = 0.4}^{y = 0.8}[/tex]
Then
[tex]p = 6\left(\frac{0.8^2}{2} - \frac{0.8^3}{3} - \frac{0.4^2}{2} + \frac{0.4^3}{3}\right)[/tex]
[tex]p = 0.554[/tex]
Thus, P(Y ≤ .4|Y ≤ .8) = 0.554.
Item c:
This is x for which:
[tex]\int_0^x f(y) dy = 0.95[/tex]
Thus:
[tex]6(\frac{x^2}{2} - \frac{x^3}{3}) = 0.95[/tex]
[tex]-2x^3 + 3x^2 - 0.95 = 0[/tex]
Solving a cubic equation with the help of a calculator, and considering [tex]0 \leq x \leq 1[/tex], this is x = 0.86465.
A similar problem is given at https://brainly.com/question/22223588
8. Kim has a fever. Her temperature is 100.5 degrees Fahrenheit. Norr
temperature is 98.6 degrees Fahrenheit, How much above normal
temperature is Kim's fever?
Answer:
1.9 degrees above the normal temperture
Step-by-step explanation:
Normal temperture: 98.6 degrees Fahrenheit
100.5 - 98.6 = 1.9
Determine the value of (2^3)^2.
Help i am stuck please be fast
Answer:
Step-by-step explanation:
They are alike because both involve steps for multiplication and addition but part b uses factoring in its estimation to solve the problem while part c dosesn't.
I NEED HELP! I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY! :D
Answer:
1. Train B is faster
Step-by-step explanation:
Train b travels a greater distance in 2 hours than train A.
Train B travels 250 miles in 2 hours, while Train A travels only 120 miles.
In a two-digit number, the units digit is 5 more that the tenth digit. The number itself is three times the sum of its digits. What is this number?
Answer:
15
Step-by-step explanation:
1+5=6
6*3=15
Answer:
27
Step-by-step explanation:
My fellow Americans, tonight, I’d like to talk with you about immigration.
For more than 200 years, our tradition of welcoming immigrants from around the world has given us a tremendous advantage over other nations. It’s kept us youthful, dynamic, and entrepreneurial. It has shaped our character as a people with limitless possibilities—people not trapped by our past, but able to remake ourselves as we choose.
–Address to the nation on immigration, President Obama, 2014
Which advantages of immigration does President Obama name in this passage? Check all that apply.
It has helped create new businesses.
It has helped boost the nation’s military.
It has helped shift the nation’s death rate.
It has shaped the character of the country.
It has given us benefits that other countries do not have.
Answer:
A, D, and Eso basically, It has helped create new businesses. It has shaped the character of the country. It has given us benefits that other countries do not have.
Answer:
A,D, and E
Step-by-step explanation:
just answered the question
The length of the diagonal of a squere is 36 feet. Find the length of the side of the square.
I need help with this pls
Step-by-step explanation:
by PT,
36^2 = length^2 x length^2
length = 6 feet
Topic: Pythagoras theorem
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
1. What are vertical angles?
2. what us the relationship of vertical angles?
3. Name two pair of vertical angles.
Answer:
1:each of the pair of opposite angles made by two intersecting lines are known as vertical angles
2. the angles opposite Each Other when two lines cross they are all always equal for example" a " and "b" all vertical angles " vertical " refer to the vertex where they cross
Please help does anyone know the answer?
Answer:
.75 i think
Step-by-step explanation:
Use distributive property to complete the equivalent expression. Enter your answer in the boxes. 4(y - 3) =
Arianna solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below. Two-thirds divided by StartFraction 4 Over 5 EndFraction. Two-thirds times StartFraction 4 Over 5 EndFraction = StartFraction 8 Over 15 EndFraction Which is the most accurate description of Arianna’s work? Arianna solved the problem correctly. Arianna multiplied the dividend by the divisor instead of finding the reciprocal. Arianna multiplied the denominators instead of finding a common denominator. Arianna multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Arianna solved a fraction division problem using the rule "multiply by the reciprocal." Her work is shown below. Two-thirds divided by StartFraction 4 Over 5 EndFraction. Two-thirds times StartFraction 4 Over 5 EndFraction = StartFraction 8 Over 15 EndFraction Which is the most accurate description of Arianna's work? Arianna solved the problem correctly. Arianna multiplied the dividend by the divisor instead of finding the reciprocal. Arianna multiplied the denominators instead of finding a common denominator. Arianna multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Answer
4.0/5
47
Arianna multiplied the dividend by the divisor instead of finding the reciprocal.
The fraction division problem Arianna solved is
Adrianna's next step is
We are supposed to choose from the options the most accurate description of Arianna's work.
The mistake Arianna committed is that, she did not reciprocate the before multiplying.
Therefore the correct answer is:
Arianna multiplied the dividend by the divisor instead of finding the reciprocal.
Answer: B Arianna multiplied the dividend by the divisor instead of finding the reciprocal.
Step-by-step explanation: every website i went on said B
A system is described by the equations2x + 3y = 10 4x + By = 20 For what value of B will the system have infinitely many solutions?
I need help desperately
Answer:
B is the answer
Step-by-step explanation:
Look at where the decimal is placed and the value of the numbers
HELP!! Need the answer fast!
Answer:
84
Step-by-step explanation:
Answer:
x = 174 °
Step-by-step explanation:
All quadrilaterals have an interior angle sum of 360°. Therefore the 4 interior angles added together should equal 360°. The question already gave us three of the four angles.
74 + 66 + 46 + x = 360
186 + x = 360
x = 174
can someone fill in the blanks for me I'm doing a vocab test on math so plz help thx brainliest awarded
Answer:
15 - Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.
16 - It tells us that two expressions mean the same thing, or represent the same number. An equation can contain variables and constants.
17 - Commutative Properties
Step-by-step explanation:
Answer:
i gotchu babe lol,
14.Associative Property
15. equivalent systems
16. equation
17.Commutative Property
Step-by-step explanation:
i love you so much, i hope this helps you babe.
A penny is thrown from the top of a 26.6-meter building and hits the ground 3.59 seconds after it was thrown. The penny reached its maximum height above the ground 0.77 seconds after it was thrown.
1. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.
2.What is the maximum height of the penny above the ground?
Answer:
it is at 200 mph
Step-by-step explanation:
bc i did the test
The quadratic function which models the motion of the penny is h(t) = -4.9t² + 10.18t + 26.6 and the maximum height reached is 31.53 meters
The relationship can be expressed in the form :
h(t) = - 0.5gt² + vt + h (downward motion)
g = 9.8 m/s²
h = 26.6 m
v = ?
We can obtain v thus ;
h(t) = -0.5gt² + vt + 26.6
h(t) = - 4.9t² + vt + 26.6
Time when penny hits the ground ; t = 3.59
h(3.59) = 0
0 = -4.9(3.59)² + v(3.59) + 26.6
− 63.15169 + 3.59v + 26.6 = 0
3.59v = 36.55169
v = 36.55169 /3.59
v = 10.181 m/s
Equation becomes :
h(t) = -4.9t² + 10.18t + 26.6
2.) The maximum height of the penny above the ground ;
t = 0.77 secondsh(0.77) = -4.9(0.77^2)+ 10.18(0.77) + 26.6
Maximum height reached = 31.53 meters
Therefore, the maximum height reached is 31.53 meters
Learn more :https://brainly.com/question/8882508
11 coommon factor of
646 divided by 9 long division with a reimandeir
Answer:
71 R. 7
Step-by-step explanation:
Hope this helps!
A store buys 17 sweaters for $255 and sells them for $578. How much profit does the store make per sweater?
Answer:
$19 per sweater <3
A gumball machine has 300 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in the gumball machine?
225
275
375
400
BRAINLIST,EXTRA POINTS, 5 STARS, AND HEART
Answer:
The answer is 400
Step-by-step explanation:
Percent is to 100 as part is to whole.
In this case we have no whole but we have a part, and we have a percentage. 100% is equal to the whole so, 300 divided by 4 is 75 and what you do on the top is what you do on the bottom; 100x4=400
Stem question, can you plz tell me 3 types of natural water vapor other that steam, fog, and clouds, thanks.
Answer:
Smoke, Condensation, mist
Step-by-step explanation:
<3
Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork.
Who earns more money per hour? How much more? Use the drop-down menus to show your answer.
Choose...
earns
Choose...
more per hour.
Answer:It is Danielle i guess cause she earns 9.2 each hour and MacKenzie gets 8.4 an hour
:)
Please helppp
solve for y
Answer: [tex]y=\frac{-x}{w-3}[/tex]
Step-by-step explanation:
To solve for y, we want to isolate y.
[tex]w=\frac{3y-x}{y}[/tex] [multiply both sides by y]
[tex]yw=3y-x[/tex] [subtract both sides by 3y]
[tex]yw-3y=-x[/tex] [factor out y]
[tex]y(w-3)=-x[/tex] [divide both sides by (w-3)]
[tex]y=\frac{-x}{w-3}[/tex]
Now, we know that [tex]y=\frac{-x}{w-3}[/tex].
I need help with this question!!!! Plzz
Answer:
y=-5x+9
Step-by-step explanation:
Answer:
y = -5x + 9
Step-by-step explanation:
Plug each of the x values into this equation and see if you get the corresponding outputs for y, it should work fine.
A consignment of steel weighing 5 tonnes
is delivered to a factory ,how many tons
of steel are delivered?
Answer:
This is when solid particles stick to one another, and while this is an undesirable feature in many powder and particle processing operations, it is essential for the successful sintering of iron ore fines, coke and fluxes into a suitable blast furnace feed.
Step-by-step explanation:
What is the first step needed to solve 4 over 7 multiplied by x minus 5 equals negative 13? Subtract 13 from both sides Divide both sides by 7 Add 5 to both sides Multiply both sides by 4
Answer: C) add 5 to both sides
The given equation is
(4/7)x - 5 = -13
To solve this, we follow PEMDAS in reverse undoing each operation. Normally parenthesis is the first thing we look for, but instead we start with subtraction.
So we'll undo subtraction which means we add 5 to both sides
Answer:
C is your answer
Step-by-step explanation:
PLA HELP QUESTION IN PHOTO
Answer:
Step-by-step explanation:
its the first one
Answer:
C
Step-by-step explanation:
Coconut oil freezes at a high temp, and there for is a greater number.
4. In the equation y = 8x , what is your constant?
A)y
B)8
C)x
D)0
Answer: it should be 8
Evaluate 8x when x = 3.12
Answer:
24.96
Step-by-step explanation:
When you do 8 times 3.12, because 8x (8 times x), you would get 24.96.
