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2 years ago

When you dont replace the marble for the second draw what kind of probability is it

Mathematics

1 answer:

mojhsa [17]2 years ago

5 0

Answer:

Dependent

Step-by-step explanation:

The probablity of the second draw depends on the results of the first draw.

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2. Kira's skateboard is 71 centimeters long. What is the length of her skateboard in millimeters? Show your work. Answer:

Marrrta [24]

Answer is 710

Divide length value by 10

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2 years ago

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The angle of the elevation of the sun is 34 degrees. Find the length, l, of a shadow cast by a tree that is 53 feet tall. Round

gulaghasi [49]

$\tan{34^o}= \frac{53}{x} 
\\
\\x= \frac{53}{\tan{34^o}} 
\\
\\x \approx 78.58$

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3 years ago

What is true about the absolute values of the slopes of parallel and perpendicular lines?

GenaCL600 [577]

They are the reciprocals of each other, meaning the denominator and the numerator are in switched positions

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15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find dy/dx at =22/7*4

Sav [38]

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

It looks like we're given

$\begin{cases}x=a\sin(2t)(1+\cos(2t))\\y=b\cos(2t)(1-\cos(2t))\end{cases}$

where a and b are presumably constant.

Recall that

$\cos^2t=\dfrac{1+\cos(2t)}2$

$\sin^2t=\dfrac{1-\cos(2t)}2$

so that

$\begin{cases}x=2a\sin(2t)\cos^2t\\y=2b\cos(2t)\sin^2t\end{cases}$

Then we have

$\dfrac{\mathrm dx}{\mathrm dt}=4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t$

$\dfrac{\mathrm dy}{\mathrm dt}=-4b\sin(2t)\sin^2t+4b\cos(2t)\sin t\cos t$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4b\cos(2t)\sin t\cos t-4b\sin(2t)\sin^2}{4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t}$

$\implies\boxed{\dfrac{\mathrm dy}{\mathrm dx}=\dfrac ba\tan t}$

where the last reduction follows from dividing through everything by $\cos(2t)\cos^2t$ and simplifying.

I'm not sure at which point you're supposed to evaluate the derivative (22/7*4, as in 88/7? or something else?), so I'll leave that to you.

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3 years ago

Use properties to find the sum or product 89+27+11

yulyashka [42]

The answer to 89+27+11 is 127

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3 years ago

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