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maksim [4K]
2 years ago
9

Which of the following describes the transformation from Figure 1 to Figure 2?

Mathematics
1 answer:
elena-s [515]2 years ago
8 0

Answer:

Figure 1

Step-by-step explanation:

3^+ 4^-7/2=8

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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
Tatiana's book has an area of 88 square inches. what are the length and wide measurements of the book​
Vedmedyk [2.9K]
A= l•w

So you can make it in any way! The one I got is 44•4 because

A= l•w
A= 4•22
A= 88

So I guess it depends on the way you want it as long as it equals 88 as long as you length and width are multiplied to make the 88, if you host what I mean!
3 0
3 years ago
I need help you don't have to explain the answer I just need it, thank you!
denpristay [2]

Answer:

j = 10

Step-by-step explanation:

You add 7 to both sides then divide both sides by -2

6 0
3 years ago
Robby age 4 potato chips. Jimmy ate p times as many potato chips. Which expression shows how many potato chips jimmy ate?
egoroff_w [7]

Answer:

The answer is 4 x p.

Hope this helps! :)

8 0
2 years ago
Please help me please !!
Artist 52 [7]
The range is: 35-60
The IQR is: 11
This value is the first 25%

IQR= interquartile range

Hope this helps ;)
5 0
2 years ago
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