(5^1/2 x 5^-3/2)^-1/4

Mathematics

1 answer:

zhenek [66]2 years ago

3 0

The answer is 25 I believe

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The following gambling game has been proposed, which a player must pay to play. First, a value U is chosen uniformly from the se

Vesna [10]

Answer:

The player should be required to pay $5 to make this a fair game.

Step-by-step explanation:

U ~ Uniform(0, 10)

E[U] = (0 + 10)/2

= 5

X | U ~ Poisson(U)

E[X | U] = U

By law of total probability for expectations,

E[X] = E[E[X|U]] = E[U] = $5

Therefore the player should be required to pay $5 to make this a fair game.

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3 years ago

Solve the following:<br> a. 4x^2 + 5x + 3 = 2x^2 − 3x<br> b. c^2 − 14 = 5c

Jet001 [13]

Answer:

(a) x = -0.418 , -3.581

(B) c = 6.855, -1.855

Step-by-step explanation:

(A) We have given equation $4x^2+5x+3=2x^2-3x$

$2x^2+8x+3=0$

On comparing with standard quadratic equation $ax^2+bx+c$

a = 2, b = 8 and c = 3

So roots of the equation will be $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4\times 2\times 3}}{2\times 2}=\frac{-8\pm 6.324}{4}=-0.418,-3.581$

(b) $c^2-14=5c$

$c^2-5c-14=0$

a = 1, b = -5 and c= -14

So $c=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-5)\pm \sqrt{(-5)^2-4\times 1\times (-14)}}{2\times 1}=\frac{5\pm 8.71}{2}=6.855,-1.855$

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Sound travels through substances as energy is transferred from one particle to the next. The diagrams represent the particles of

tatyana61 [14]

Answer:

Sound requires a material medium to travel , the sound through each medium through its molecules and particles present in it .Sound travels with some speed and it's speed depends upon the nature of the medium through which it travels i.e. upon density and transparently. Speed of increases with the increase in density and decreases with the increases in temperature . Speed if sound us maximum for solid then for liquid and minimum in gases because of it's large intermolecular spaces and low density.