Answer:
78 3/4 I think is the answer
9x+6+4x-2x+1-15
What is the answer?
Answer: 3x - 8
Hope it helps!
Answer:
9 + 6 + 4 − 2 + 1 − 1 5
9x+{\color{#c92786}{6}}+4x-2x+{\color{#c92786}{1}}{\color{#c92786}{-15}}
9x+6+4x−2x+1−15
9 − 8 + 4 − 2
Step-by-step explanation:
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
2 1/7 divided by 1 2/5
You can tell if the value of a function for a certain interval is positive just by 2 points looking at its graph. If the value is positive that part of the graph will:
a: be to the right of the y-axis
b: be above the x-axis
c: intersect the x-axis
d: be below the x-axis
What are all of the possible classifications for a 3 × 3 system? Check all of the boxes that apply.
consistent and dependent
consistent and independent
inconsistent and dependent
inconsistent and independent
Answer:
consistent and dependent
consistent and independent
inconsistent and independent
Step-by-step explanation:
Answer:
1
2
4
Step-by-step explanation:
has nice day
Which angles are adjacent angles to 3? Select all that apply
Two Answers: Angle 1, Angle 4
Adjacent angles share a common segment, line, or ray. Think of two adjacent rooms sharing a common wall.
PLEASE HELP QUICKLY!!!!! PLZZZZZZ!!!!!!!
The cost of an item is $0.30 per ounce. If total cost of the item is $3.60, how many ounces are in the item?
Answer:
Example 1: - If the item's label displays the weight as 3 lb 2 oz, type the shop name and item's brand, enter 3 in the pounds field, leave the 00 (decimal) value unchanged, enter 2 in the ounces field, leave the 00 (decimal) value unchanged, fill out the Price field and Calculate to get the price per ounce
Answer:
12 ounces
Step-by-step explanation:
3.60 = .3x
divide by .3 on both sides
12 = x
The GCF of 15 and 27
how do you find the distance between two negative fractions
Answer:
Use the number line and split the whole numbers into fractions
Step-by-step explanation:
Example: If a number line goes from -10 all the way to +10, and you are trying to find the distance between -2 1/4 and -7 3/4. You would split the number line into fourths and then locate -7 3/4. You would then count up to -2 1/4 to get 4 3/4.
Hopefully this makes sense!
12345678912345678991-12345678912345678912
Write a multiplication expression without exponents that is equivalent to 3^4
How many factors of 3 did you write?
Answer:
Answer: 3⁴ = 3×3×3×3
3⁴ means multiply four threes together.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
You just needed to Multiply maning the three, 4 times
What is the volume of the prism below?
A. 150 cubic units
B. 300 cubic units
C. 55 cubic units
D. 1,500 cubic units
Answer:
the answer is B.300.Don't forget to mark brainliest
Answer:
a
Step-by-step explanation:
Given: AB=BC, D is the midpoint of AB, and E is the midpoint BC. Prove: AD=BE
Answer:
Using mid point theorem, A line segment joining the mid points of the two sides of the triangle, is equal to half the length of the third side.
D and E are the mid points. Hence,
DE=
2
1
AC
DE=
2
1
(6.4)
DE=3.2cm
Answer:
AD=BE
Step-by-step explanation:
Because AB and BC are equal, their lengths are also equal and also it is an Isosceles triangle. Therefore the midpoint of AB or the half of AB which is either AD or DE are equal. Vice versa for BC. So AD=BE
A vitamin C tablet contains 1/4
of a gram of vitamin C. You take 1 1/2
tablets every day. In simplest form, how many grams of vitamin C do you take every day?
Answer:
3/8 gramsStep-by-step explanation:
1 tablet ⇒ 1/4 gramsMultiply the amount of tablets by 1/4 to find the answer
1 1/2 tablet ⇒ 1 1/2 *1/4 = 3/2 * 1/4 = 3/8 gramsHarold cut 18 1/2 inches off a rope that was 60 inches long.
Answer:
41.5?
Step-by-step explanation:
is that it to the question or is there more?!?!
Answer:
0.42
Step-by-step explanation:
60-18= 42
42/100=0.42
(Hope this helped! :D)
(PLEASE HELP ASAP!!!)Micheal has five different stocks that he watches on a daily basis. The table shows the change in each stock price in dollars at the end of a trading day.
What is the correct order of the rational numbers in the table from least to greatest?
A) -1.5, 2.9, -1/2, 3 3/4, 4.6
B) -1/2, -1.5, 2.9, 3 3/4, 4.6
C) -1.5, -1/2, 2.9, 3 3/4, 4.6
D) 4.6, 3 3/4, 2.9, -1/2, -1.5
Answer:
C
Step-by-step explanation:
Peter collected 171 marbles but lost 3/4 of them on his way home through of hole in his bag when he arrived at home now many marbles did Peter have left?
The number of marbles Peter had when he arrived home was 43 marbles
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The number of marbles Peter had on his way home = 171
The amount of marbles he lost on his way home = ( 3/4 ) th
Now , the amount of marbles Peter have left = 1 - amount of marbles he lost on his way home
The amount of marbles Peter have left = 1 - 3/4
= ( 1 / 4) th
So , The number of marbles Peter had left when he arrived home is =
Amount of marbles Peter have left x Number of marbles Peter had
The number of marbles Peter had left when he arrived home is = (1/4) x 171
= 171 / 4
= 42.75
≈ 43 marbles
Hence , the number of marbles Peter had left when he reached home is 43
To learn more about percentage click :
https://brainly.com/question/12861068
#SPJ2
Nancy was buying peaches to make a cobbler. She needed 4.5 pounds of peaches, and they are on sale for $1.60 per pound. How much will the peaches cost?
Given:
Required quantity of peaches = 4.5 pounds
Cost of peach = $1.60 per pound.
To find:
The total cost of required peaches.
Solution:
We know that,
Total cost = Number of units × Cost per unit
Now,
[tex]\text{Total cost of peaches}=\text{Number of peaches}\times \text{Cost per peach}[/tex]
[tex]\text{Total cost of peaches}=4.5\times 1.60[/tex]
[tex]\text{Total cost of peaches}=7.20[/tex]
Therefore, the total cost of peaches is $7.20.
blank over five plus eighteen over twenty equals thirty over twenty
Answer:
3 and i use flvs too, also that pfp is fire
Step-by-step explanation:
Answer:
the answer is 3
Write a polynomial function of least degree in standard form that has the given zeros: -1, 2, 3−1,2,3
Answer:
well base on my stuck knowledge i think jimmy neutron can answer that
thanks me later
A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?
Kevin is 150.5 centimeters tall. His older brother, Darrell is 1.2 times as tall as him.
How tall is Darrell? *
A) 125.42 centimeters
B)170.57 centimeters
C) 180.6 centimeters
D) 251.5 centimeters
Elliot collects miniature toy cars. He wants to fill 4 display cases.each display case holds 15 cars. He has 28 cars now, and he is able to buy 3 more every month with the money he saves from his allowance. How many more months will it be until elliot has enough cars to fill all 4 display cases?
Answer:
Elliot has to wait 11 months before he has enough cars
Step-by-step explanation:
Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know
total # of cars Elliot can place in his display case = 4 * 15 = 60 cars
From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has
# of cars Elliot needs = 60 - 28 = 32 cars
Now to find the number of months Elliot needs, we divide by how many he can buy each month
# of months Elliot needs to save up for = 32 / 3 = 10 2/3
Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11
50 POINTS!!!
Please I need fast and correct answer. I will award best answer with brainliest!!!
Answer:
[tex]measure angle 1 = 62 ------> given\\measure angle 4 = 62 --------> vertical angle theorem[/tex]
Step-by-step explanation:
vertical angle theorem states that the angle vertical from another angle has to be congruent
p.s. i found it
Write the equation of the line that passes through the points (-9, -3) and (-7,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y - 7 = 5(x + 7).
Step-by-step explanation:
The slope m (7--3)/ (-7- -9)
= 10 / 2 = 5.
y - y1 = m(x - x1)
Using the point (-7, 7):
y - 7 = 5(x + 7).
3/4 minus 7/16. In factions
Answer:
What is the question sir
Step-by-step explanation:
Mr. Butler is playing a game with the pictured spinner. He wins the amount of money shown if he spins green. He loses the amount
of money shown if he spins yellow. Is this a fair game? Explain why or why not.
A)
Yes; Mr. Butler has an equal chance of winning money or losing money,
B)
Yes; Mr. Butler is more likely to win money than lose money.
No; Mr. Butler is more likely to win money than lose money.
D)
No; the same number would need to be on every piece.
Answer: He is more likely to win more money than lose money, but he has a equal chance of winning/losing.
The answer is number B
Multiply. Enter your answer as a simplified mixed number.
-4(7/10)
The product is:
Answer:
−2.8 or - 2 8/10
Step-by-step explanation:
hope that helps
Students will be going to the zoo in a field trip entrance fee is $6.00 and you will be able to purchase drinks or food items for $2.00 each write an equation indicating the total cost of going to the zoo
Answer:
c = 6+2x
Step-by-step explanation:
c = total cost, 6 = entrance fee, 2x = 2 dollars per food/drink item