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Nezavi [6.7K]
2 years ago
15

Help!!!!!! red car travels 17 2/5 miles useing 0.75 of gas. please answer today

Mathematics
1 answer:
Nataliya [291]2 years ago
7 0

I think you just divide

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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
What is the volume of this figure?<br> 1 unit<br> 1 unit<br> 1 unit
ra1l [238]

Answer:

1 simply 1

Step-by-step explanation:

1*1*1=1

3 0
2 years ago
Read 2 more answers
Which of the following is the solution to 31 %-12 12?
stellarik [79]

Answer:

I think so, but don't lose sight

4 0
3 years ago
- 7(2-1) = 28<br> The solution is?
Aneli [31]

Answer:

Is there a x somewhere or is that litteraly how the equation is?

If so, -7 multiplied by 2 is -14,

-1 times -7 is 7,

add it together and you get

-7=28,

you could add 7 to both sides or subtract 28 from both sides and you'll get either 0=35 or -35=0

which would make the solution false since both sides are not the same

6 0
3 years ago
What is the solution for the equation? 14.8 = n minus 0.3
Ymorist [56]

Answer:

15.1

Step-by-step explanation:

14.8=n-.3

you'd add .3 to other side so it'd be 15.1

5 0
3 years ago
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