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3 years ago

Which ratio is proportional to 10/24 A 20/36 B 5/8 C 35/84 D 5/6

Mathematics

1 answer:

erica [24]3 years ago

6 0

35/84 is equivalent to 10/24 among them.

So, option C is your answer.

Hope this helps!

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Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

$P(X$

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

$P(X$

Take natural log on both sides.

$ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30$

Thus, the value of x is 30.

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3 years ago

WILL MARK BRAINLEIST please give me a good summary of the Pythagorean Theorem

Rudik [331]

Answer:

The Pythagorean Theorem is a statement about triangles containing a right angle. The Pythagorean Theorem states that: "The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides."

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

(x+2)(2x+1)+(x+2)(2x-3) factorizar

koban [17]

Answer:

(x + 2)(4x - 2).

Step-by-step explanation:

(x+2)(2x+1)+(x+2)(2x-3)

Note that (x + 2) is common to 2 parts of the expression. So we have:

(x + 2)(2x + 1 + 2x - 3)

= Ix + 2)(4x - 2)

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Checking for extraneous solutions

jarptica [38.1K]

There is no restriction on the domain because there is a cube root for all real values positive or negative. So you can solve this as there are no extraneous solutions...

Cube both sides...

2x-4=-8

2x=-4

x=-2

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