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
love history [14]
3 years ago
6

The random variable X is normally distributed. P(2045).

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0
What the answer option
You might be interested in
I need help very fast please!
postnew [5]
I’m not sure maybe D
7 0
3 years ago
Read 2 more answers
When written in scientific notation, the number 4,500 will have a Choose... 2 4 3 as the exponent on the power of ten
nexus9112 [7]
The exponent would be 3.
4.5 x 10^3
6 0
3 years ago
Consider the differential equation:
Wewaii [24]

(a) Take the Laplace transform of both sides:

2y''(t)+ty'(t)-2y(t)=14

\implies 2(s^2Y(s)-sy(0)-y'(0))-(Y(s)+sY'(s))-2Y(s)=\dfrac{14}s

where the transform of ty'(t) comes from

L[ty'(t)]=-(L[y'(t)])'=-(sY(s)-y(0))'=-Y(s)-sY'(s)

This yields the linear ODE,

-sY'(s)+(2s^2-3)Y(s)=\dfrac{14}s

Divides both sides by -s:

Y'(s)+\dfrac{3-2s^2}sY(s)=-\dfrac{14}{s^2}

Find the integrating factor:

\displaystyle\int\frac{3-2s^2}s\,\mathrm ds=3\ln|s|-s^2+C

Multiply both sides of the ODE by e^{3\ln|s|-s^2}=s^3e^{-s^2}:

s^3e^{-s^2}Y'(s)+(3s^2-2s^4)e^{-s^2}Y(s)=-14se^{-s^2}

The left side condenses into the derivative of a product:

\left(s^3e^{-s^2}Y(s)\right)'=-14se^{-s^2}

Integrate both sides and solve for Y(s):

s^3e^{-s^2}Y(s)=7e^{-s^2}+C

Y(s)=\dfrac{7+Ce^{s^2}}{s^3}

(b) Taking the inverse transform of both sides gives

y(t)=\dfrac{7t^2}2+C\,L^{-1}\left[\dfrac{e^{s^2}}{s^3}\right]

I don't know whether the remaining inverse transform can be resolved, but using the principle of superposition, we know that \frac{7t^2}2 is one solution to the original ODE.

y(t)=\dfrac{7t^2}2\implies y'(t)=7t\implies y''(t)=7

Substitute these into the ODE to see everything checks out:

2\cdot7+t\cdot7t-2\cdot\dfrac{7t^2}2=14

5 0
3 years ago
Solve<br> 7+x/3 = 2x-5<br> Give all working out
Ipatiy [6.2K]
X = 36/5
Or x = 7.2


21 + x = 6x - 15
21 = 6x - 15 - x
21 = 5x - 15
21 + 15 = 5x
36 = 5x
36/5 = x
7 0
3 years ago
Read 2 more answers
Identify the vertical asymptotes of f(x)=10/x^2-1
Brums [2.3K]

Answer:

-1 and 1

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • 2x7+2 ?<br> What does x =
    15·1 answer
  • jack determined that his aunts age is 8 less than 2 times his age . if x represents jacks age write a linear expression
    12·1 answer
  • 2.the solution set of x +y =5 and x-y =3
    7·1 answer
  • I need help please i will give u brainly
    7·2 answers
  • Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more
    5·1 answer
  • Please go answer my questions posted I will be happy if you do plz
    10·1 answer
  • Which is the equation in the slope-intercept form of the line that contains points E &amp; F ?
    13·2 answers
  • Someone help (will give brainliest)
    13·1 answer
  • 30 POINTS PLS HELP
    13·2 answers
  • Can someone please help me
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!