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tatuchka [14]
3 years ago
7

HELP

Mathematics
1 answer:
Alona [7]3 years ago
7 0

Answer: $4045.43

Step-by-step explanation: I just took the test.

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24 + (-9) - 44 + 33 - 17<br> word problem form
pashok25 [27]
Twenty four plus (negative nine) minus forty-four plus thirty three minus seventeen.
7 0
2 years ago
Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x &lt; 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
Two planes, which are 2235 miles apart, fly toward each other. Their speeds differ by 95 mph. If they pass each other in 3 hours
lora16 [44]

Answer:

325 mph and 420 mph

Step-by-step explanation:

If the speed of the slower plane is x, then the speed of the faster plane is x + 95.

The distance traveled by the slower plane is 3x.

The distance traveled by the faster plane is 3(x + 95).

The total distance is 2235 miles.

3x + 3(x + 95) = 2235

3x + 3x + 285 = 2235

6x = 1950

x = 325

x + 95 = 420

The speed of the planes is 325 mph and 420 mph.

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3 years ago
A painting crew reported that a job is 3/5 completed. What fraction of the job remains to be done? ​
Debora [2.8K]

Answer:

2/5

Step-by-step explanation:

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2 years ago
ASAP HELPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!
melomori [17]

Step-by-step explanation:

  1. 90-27=63°
  2. <2
  3. <2,<4
  4. 360°
3 0
2 years ago
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