1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali [406]
2 years ago
14

(1 point) For function f(x) = -3x2 + 29x - 40,

Mathematics
1 answer:
MaRussiya [10]2 years ago
8 0

×1=5/3, multiplicity 1; ×2=8 multiplicity 1

You might be interested in
Let X ~ N(0, 1) and Y = eX. Y is called a log-normal random variable.
Cloud [144]

If F_Y(y) is the cumulative distribution function for Y, then

F_Y(y)=P(Y\le y)=P(e^X\le y)=P(X\le\ln y)=F_X(\ln y)

Then the probability density function for Y is f_Y(y)={F_Y}'(y):

f_Y(y)=\dfrac{\mathrm d}{\mathrm dy}F_X(\ln y)=\dfrac1yf_X(\ln y)=\begin{cases}\frac1{y\sqrt{2\pi}}e^{-\frac12(\ln y)^2}&\text{for }y>0\\0&\text{otherwise}\end{cases}

The nth moment of Y is

E[Y^n]=\displaystyle\int_{-\infty}^\infty y^nf_Y(y)\,\mathrm dy=\frac1{\sqrt{2\pi}}\int_0^\infty y^{n-1}e^{-\frac12(\ln y)^2}\,\mathrm dy

Let u=\ln y, so that \mathrm du=\frac{\mathrm dy}y and y^n=e^{nu}:

E[Y^n]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty e^{nu}e^{-\frac12u^2}\,\mathrm du=\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty e^{nu-\frac12u^2}\,\mathrm du

Complete the square in the exponent:

nu-\dfrac12u^2=-\dfrac12(u^2-2nu+n^2-n^2)=\dfrac12n^2-\dfrac12(u-n)^2

E[Y^n]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty e^{\frac12(n^2-(u-n)^2)}\,\mathrm du=\frac{e^{\frac12n^2}}{\sqrt{2\pi}}\int_{-\infty}^\infty e^{-\frac12(u-n)^2}\,\mathrm du

But \frac1{\sqrt{2\pi}}e^{-\frac12(u-n)^2} is exactly the PDF of a normal distribution with mean n and variance 1; in other words, the 0th moment of a random variable U\sim N(n,1):

E[U^0]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty e^{-\frac12(u-n)^2}\,\mathrm du=1

so we end up with

E[Y^n]=e^{\frac12n^2}

3 0
2 years ago
9000 is 10 times as much as?
Zanzabum

Answer:

900

Step-by-step explanation:

4 0
3 years ago
Select the true statement. A. Paul's data has a larger overall spread than Sally's data. B. The interquartile range of Paul's da
Mila [183]

Answer:

I just did the test and got it right the answer is A. Paul's data has a larger overall spread than Sally's data.

Step-by-step explanation:

6 0
3 years ago
Help pls!! Find the area
Dima020 [189]

Answer:

17.5 for perpendicular triangle

Step-by-step explanation:

A= 1/2 ( b*h )

A= 1/2 ( 7*5)

A= 1/2 ( 35)

A= 17.5

8 0
2 years ago
Expand and simplify 4(2x+3)+4(3x+2)
REY [17]
8x+12+12x+8
20x+20
The final answer is 20x+20
6 0
2 years ago
Other questions:
  • What is Y=-3/10x-8 written in standard form
    11·1 answer
  • HELP PLEASE!!!
    6·2 answers
  • 5 books with him, and he has 62 books to choose from. how many different ways can the books be selected?
    6·2 answers
  • Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9
    6·1 answer
  • ABCO is the image of ABCD What transformation(s) would result in this image?
    11·1 answer
  • Which of the following is a solution of x-6<6 AND x+4>-1
    7·1 answer
  • Whats the slope form?
    8·1 answer
  • How many terms are in the polynomial abcd + e - h 2?<br><br> two
    9·1 answer
  • Question 3
    15·1 answer
  • The price of of a mathematical set. was Ugx 2400 a month ago,and now it is Ugx 3000 - Find The percentage increase​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!