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spin [16.1K]
2 years ago
10

What is the value of x?

Mathematics
2 answers:
Pie2 years ago
8 0

Answer:

i go with 55

Step-by-step explanation:

Arada [10]2 years ago
7 0

Answer:

25°{vertically opposite angle}

hope it helps.

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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 serious help with these 2 questions. I already used the first attempt and have 1 left so please help me
Westkost [7]

Answer:

c and full truat i nwver wrong

6 0
2 years ago
Read 2 more answers
WILL GIVE 30 points a scatter plot and a possible line of best fit is shown is the line of best fit accurate for the data shown
Romashka [77]
I think It is 2. it makes the most sense to me
5 0
3 years ago
Kyle order pizza for his party. He paid $11.50 a pizza plus an onetime delivery fee of $4.50. Would this be an example of a prop
sergejj [24]

Answer:

No

Step-by-step explanation:

You only pay the $4.50 once.

7 0
3 years ago
Factor : 49c^2 - 25d^6
Keith_Richards [23]
49c^2 - 25d^6
(7c)^2 - (5d^3)^2
(7c + 5d^3)(7c - 5d^3)

The answer is: (7c + 5d^3)(7c - 5d^3).
7 0
3 years ago
Read 2 more answers
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