18. what Gives the missing value in 2/5 = x/30?

1 answer:

3 0

X is equal to 12
This is because 5 was multiplied and 6 making 30. So you have to multiply 2 and 6 making x 12. Hope that makes sense

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sergij07 [2.7K]

(a) If f(x) 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 u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

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

which reduces to

c / 2 (0 + 1) = 1 → c = 2

(b) Find the probability P(1 < X < 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

EastWind [94]

Answer:

10 tiles

2 vowel (E, I)

Then P(pick vowel) = 2/10 =1/5 =20%

7 0

3 years ago

ddd [48]

Answer:

2.3 b

Step-by-step explanation:

i got it right

8 0

3 years ago

andrew-mc [135]

This is a division problem.

6/20 = 0.3

Answer: You are paying $0.30 per ticket.

8 0

3 years ago

tamaranim1 [39]

Your answer is:

B. subtract 10 to both sides

Hope it helps
Have a great day :)
Let me know if it’s correct

5 0

3 years ago