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3 years ago

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Suppose that a box contains one fair coin and one coin with a head on each side. suppose that a coin is selected at random and t

hat when it is tossed three times, a head is obtained three times. determine the probability that the coin is the fair coin.

1 answer:

lukranit [14]3 years ago

4 0

There is a 50% chance it is the fair coin

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A. paul can set up his studio and have $375 left.

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3 years ago

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Consider the initial value problem y′′+36y=2cos(6t),y(0)=0,y′(0)=0. y″+36y=2cos⁡(6t),y(0)=0,y′(0)=0. Take the Laplace transform

Bingel [31]

Recall the Laplace transform of a second-order derivative,

$L(y''(t)) = s^2Y(s)-sy(0)-y'(0)$

and the transform of cosine,

$L(\cos(at))=\dfrac s{a^2+s^2}$

Here, both $y(0)=y'(0)=0$ , so taking the transform of both sides of

$y''(t)+36y(t)=2\cos(6t)$

gives

$s^2Y(s)+36Y(s)=\dfrac{2s}{36+s^2}$

$\implies Y(s)=\dfrac{2s}{(s^2+36)^2}$

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3 years ago

The axis of symmetry for a function in the from f(x) = x^2 + 4x - 5 is x = -2. What are the coordinates of the vertex of the gra

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(-2, -9)

Simply plug -2 into the equation.

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3 years ago

25.5 is what fraction

kolbaska11 [484]

25 <span>1⁄2</span> hope it helped

Improper fraction:
$\frac{52}{2}$

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The weight W of an object varies inversely as the square of the distance d from the center of the earth. At sea level (3978 mi

eimsori [14]

$\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{ k}}}{x}
\end{array}$

with "k" being the "constant of variation"

so. hmm in this case is "w" inversely varying to the square of the distance or d²

thus $\bf w=\cfrac{k}{d^2}\qquad 
\begin{cases}
d=3978\\
w=129
\end{cases}\implies 129=\cfrac{k}{3978^2}$

solve for "k", to see what the constant of variation is

and plug it back in $\bf w=\cfrac{k}{d^2}$

now.. .to find her weight when she's 144miles above the surface, well
that's just $\bf w=\cfrac{k}{(3978+144)^2}$

and since you already know what "k" is, just divide and simplify away, to get "w"

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3 years ago