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
777dan777 [17]
1 year ago
10

Please help asap!!!!!!!

Mathematics
1 answer:
koban [17]1 year ago
7 0

Answer:

-2

Step-by-step explanation:

You might be interested in
Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.
sergij07 [2.7K]

(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1

For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:

\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1

which reduces to

<em>c</em> / 2 (0 + 1) = 1   →   <em>c</em> = 2

(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678

5 0
2 years ago
I need help please?!!!
Lubov Fominskaja [6]
Y-axis, because what i’ve been taught with coordinates, is you crawl before you walk which means is first it’s x-axis then y-axis. so (0,4) would be on the y-axis. :)
3 0
3 years ago
Read 2 more answers
Find the area of the composite shape
jekas [21]

12 ft * 10 ft = 120 sq ft

½ * 6 ft * 7 ft = 21 sq ft

120 sq ft - 21 sq ft = 99 sq ft (it is area of the composite shape)

4 0
2 years ago
To get the value of an expression you add
frez [133]
When we substitute a specific valuefor each variable, and then perform the operations, it's called evaluating theexpression. Let's evaluate theexpression 3y + 2y when 5 = y. Click on the steps to see how it's done. Perform the operations, to find the value of the expression.
6 0
3 years ago
Read 2 more answers
Write an inequality for the graph below
Xelga [282]

Answer: what graph...?

8 0
2 years ago
Other questions:
  • Which of the following points is a solution of y &gt; |x| + 5?
    13·2 answers
  • What is 95.85 estimated to
    12·2 answers
  • Which of the graphs below represents the equation 4x + y = 7? Graph A Graph B Graph C Graph D
    9·1 answer
  • what's 12 to the power of 28 (I tried to find the solution on a calculator and this is what i got could someone please elaborate
    12·1 answer
  • What are the zeros of the polynomial function f(x)=x^2-x-20
    6·1 answer
  • A fish tank has a length of 14cm, a width of 25cm, and a height of 15cm. It is only filled with water up to a height of 7 centim
    15·1 answer
  • Anyone know how to solve this step by step?
    14·1 answer
  • Good night, logging out !
    15·1 answer
  • What is the approximate circumference of a circle with a radius of 12 ft? Use 3.14
    9·2 answers
  • Which list shows all the factors of 36
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!