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3 years ago

Arrange in ascending order: 12.4654, 784.7068, 295.6097, 267.0918, 156.6100

Mathematics

1 answer:

coldgirl [10]3 years ago

7 0

Step-by-step explanation:

arranging in ascending order is simply arranging from the smallest to the largest.

12.4654,156.6100,267.0918,295.6097,784.7068

I hope this helps

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Suppose X, Y, and Z are random variables with the joint density function f(x, y, z) = Ce−(0.5x + 0.2y + 0.1z) if x ≥ 0, y ≥ 0, z

dexar [7]

Answer:

The value of the constant C is 0.01 .

Step-by-step explanation:

Given:

Suppose X, Y, and Z are random variables with the joint density function,

$f(x,y,z) = \left \{ {{Ce^{-(0.5x + 0.2y + 0.1z)}; x,y,z\geq0 } \atop {0}; Otherwise} \right.$

The value of constant C can be obtained as:

$\int_x( {\int_y( {\int_z {f(x,y,z)} \, dz }) \, dy }) \, dx = 1$

$\int\limits^\infty_0 ({\int\limits^\infty_0 ({\int\limits^\infty_0 {Ce^{-(0.5x + 0.2y + 0.1z)} } \, dz }) \, dy } )\, dx = 1$

$C\int\limits^\infty_0 {e^{-0.5x}(\int\limits^\infty_0 {e^{-0.2y }(\int\limits^\infty_0 {e^{-0.1z} } \, dz }) \, dy }) \, dx = 1$

$C\int\limits^\infty_0 {e^{-0.5x}(\int\limits^\infty_0{e^{-0.2y}([\frac{-e^{-0.1z} }{0.1} ]\limits^\infty__0 }) \, dy }) \, dx = 1$

$C\int\limits^\infty_0 {e^{-0.5x}(\int\limits^\infty_0 {e^{-0.2y}([\frac{-e^{-0.1(\infty)} }{0.1}+\frac{e^{-0.1(0)} }{0.1} ]) } \, dy }) \, dx = 1$

$C\int\limits^\infty_0 {e^{-0.5x}(\int\limits^\infty_0 {e^{-0.2y}[0+\frac{1}{0.1}] } \, dy }) \, dx =1$

$10C\int\limits^\infty_0 {e^{-0.5x}([\frac{-e^{-0.2y} }{0.2}]^\infty__0 }) \, dx = 1$

$10C\int\limits^\infty_0 {e^{-0.5x}([\frac{-e^{-0.2(\infty)} }{0.2}+\frac{e^{-0.2(0)} }{0.2}] } \, dx = 1$

$10C\int\limits^\infty_0 {e^{-0.5x}[0+\frac{1}{0.2}] } \, dx = 1$

$50C([\frac{-e^{-0.5x} }{0.5}]^\infty__0}) = 1$

$50C[\frac{-e^{-0.5(\infty)} }{0.5} + \frac{-0.5(0)}{0.5}] =1$

$50C[0+\frac{1}{0.5} ] =1$

$100C = 1$ ⇒ $C = \frac{1}{100}$

C = 0.01

3 0

2 years ago

9) Which of the following sets is equivalent to the set<br>& P, q, r, sz?

Yuliya22 [10]

Answer:P

Step-by-step explanation:

it is

4 0

2 years ago

A conical perfume bottle has a radius of 3.2 centimeters and a height of 3.9 centimeters.

ioda

For this case, we must find the volume of the perfume bottle, given by the volume of a cone.

$V = \frac {\pi * r ^ 2 * h} {3}$

Where:

r: It's the radio

h: It's the height

Substituting the values:

$V = \frac {3.14 * (3.2) ^ 2 * 3.9} {3}\\V = \frac {125.39904} {3}\\V = 41.79968 \ cubic \ centimeters$

Round off:

$V = 41.80 \ cubic \ centimeters$

Thus, the bottle contains 41.80 cubic centimeters of perfume

Answer:

Option C

6 0

2 years ago

What is the surface area of a square pyramid with a base perimeter of 60 inches is and a slant height of 13 inches

pentagon [3]

Answer:

615 in^2

Step-by-step explanation:

The base of each triangle is 60/4 = 15 in. and the height of each triangle is 13 in. One triangle = .5bh = .5(15)(13) = 97.5. The lateral area = 4(97.5) = 390. The area of the square base is 15(15) = 225. The total area = 390 + 225 = 615 sq. in.

(Welcome to Brainly, hope I could help.)

3 0

2 years ago

Find the greatest possible error for each measurement. 18.9 m

egoroff_w [7]

the measurement for 18.9 m is 0.05

3 0

3 years ago

Arrange in ascending order: 12.4654, 784.7068, 295.6097, 267.0918, 156.6100​

Arrange in ascending order: 12.4654, 784.7068, 295.6097, 267.0918, 156.6100