Answer:
X=14
Step-by-step explanation:
Evaluate the expression
b(a + c)
when a= = -3, b= -4, and c= 2
Step-by-step explanation:
b(a + c)
=-4(-3+2)
=12-8
=4
Answer:4
Step-by-step explanation:
Steps a (-3) add c (2) is -1
Then you have to times -1 by -4 which is 4 :D
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!
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
Can you help with these questions please i would appreciate it
Answer:
[tex]\boxed{k = \frac{log_{e}(\frac{L +A }{A} )}{t} }[/tex]
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:
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
What is the place value of 3 of 652.4397. N Place Value: Select an answer Select an answer Get help: Vi tenths Points possible hundredths This is attemp Post this questhousandths ten thousandths Submit . hundred thousandths
Answer:
100 thousandths
Step-by-step explanation:
A local charity is making fruit baskets for elderly citizensbin the neighborhood. Each badket have 15:pieces of fruit. They brought 1,620 pieces of fruit total. Without completing the division, choose Yes or No for each statements
Answer
They can make at least 1,000 baskets
They can make at least 10 baskets
Answer:
Yes, no, no
Step-by-step explanation:
Answer:10 baskets yes
100 baskets yes
1000 baskets no
Step-by-step explanation:
If the simple interest on $3000 for 3 years is $720 , then what is the interest rate?
Answer:
8%
Step-by-step explanation:
Starting Principal: $
3,000.00
Years:
3
Annual Interest Rate:
8
%
Results
Future Value, using...
Simple Interest: $
3,720.00
Annually Compounded Interest: $
3,779.14
Can someone help? I don't really understand this question...
What do you call a female bug that floats?
Answer:
A buoyant girl ant
Step-by-step explanation:
Check the picturee need helppp
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
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Out of 1,200 students surveyed, 92% of them like country music. How many students like rap music?
Answer:
96
Step-by-step explanation:
1200*92=110400/100=1104
1200-1104=96
Answer:
1152 students like rap just take the numbers n divide
You work at a frozen yogurt shap during the summer. You need to order 5-ounce and 8-ounce cups. The storage room will only hold 10 more boxes. A box of 5-ounce cups costs $100 and a box of 8-ounce cups costs $150, A maximum of $1200 is budgeted for yogurt cups. A. Write a system of linear inequalities that shows the number of boxes of 5-ounce and 8- ounce cups that could be bought. B. Graph the system. C. Name a combination of 5- and 8-ounces boxes of cups that could be bought.
Answer: 100f + 150e = 1250
Step-by-step explanation:
Subtract the 1st from the 2nd to solve for e:
50e = 250
e = 5 boxes (# of boxes of eight-once cups)
f + e = 10, so f = 5 boxes: (# of boxes of five-once cups)
6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.
Let x represent the number of box of 5-ounce cups and y represent the number of box of 8 ounce cups.
The room can only hold 10 more boxes, hence:
x + y ≤ 10 (1)
A maximum of $1200 is budgeted for yogurt cups. Hence:
100x + 150y ≤ 1200 (2)
Plotting the graph of the inequality, the solution is at (6, 4)
Therefore 6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.
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I just need help with this please.
Answer:
-5/2 is located on the left of -1
Step-by-step explanation:
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
PLEASE HELP QUICKLY!!!!! PLZZZZZZ!!!!!!!
Which phrase describes how to divide a complex number z by r(cos θ + i sin θ)?
Scale by a factor of StartFraction 1 Over r EndFraction and rotate clockwise by θ.
Scale by a factor of r and rotate clockwise by θ.
Scale by a factor of StartFraction 1 Over r EndFraction and rotate counterclockwise by θ.
Scale by a factor of r and rotate counterclockwise by θ.
Answer:
its a
Step-by-step explanation:
The phrase is Scale by a factor of 1 /r and rotate clockwise by θ.
What is complex number?Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
Given:
z=r(cos θ + i sin θ)
So, to divide a complex number the best phrase to describe is Scale by a factor of 1 /r and rotate clockwise by θ.
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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
Need help asap! Complete the table below.
Answer:
Step-by-step explanation:
if the speed is 6 bracelets per hour then the table will go like this
2 12
5 30
7 42
11 66
16 and 2/3 hours is 100 bracelets
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
Helppppp meeeee 3/5 Divided by 1/9
Answer: 5.4 or 5 2/5 Hope this helps have a GREAT night
Step-by-step explanation:
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
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
Find the slope using the formula.
(-2,-9) and (-6,-6)
Answer:(3,-4) you just have to follow the equation.
Slope = change in y over change in x.
Slope = (-6 - -9) / (-6 - -2)
Slope = (-6 + 9) / (-6 + 2)
Slope = 3/-4
Slope = -3/4
The GCF of 15 and 27
A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is its value after 7 years?
a. 5,226.
b. 5,126.
c. 0.
d. 5,026.
Answer:5326
Step-by-step explanation:
A=Pe^rt
To compute a student's Grade Point Average (GPA) for a term, the student's grades for cach course are weighted by the number of credits for the course. Suppose a student had these grades: 3.6 in a 5 credit Math course 2.5 in a 2 credit Music course 3.0 in a 5 credit Chemistry course 3.4 in a 5 credit Journalism course What is the student's GPA for that term? Round to two decimal places. Student's GPA=_________
Answer:
The student's GPA = 3.24
Step-by-step explanation:
To determine the student's GPA for the term,
First, we will determine the weighted grade points and then divide the result by the total credit.
The weighted grade point is the sum of the grade points in the courses.
Grade point for a course is calculated by multiplying the grade by the course credit.
For the Math course,
Grade point = 3.6 × 5 = 18.0
For the Music course,
Grade point = 2.5 × 2 = 5.0
For the Chemistry course,
Grade point = 3.0 × 5 = 15.0
For the Journalism course,
Grade point = 3.4 × 5 = 17.0
Hence,
The weighted grade point = 18.0 + 5.0 + 15.0 + 17.0
The weighted grade point = 55.0
Total credit = 5 + 2 + 5 + 5 = 17
∴ The student's GPA = 55.0 / 17 = 3.24
Hence, The student's GPA = 3.24
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.